Algebra and Number Theory
ARTICLE
|
doi:10.20944/preprints202407.0759.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Zeta Function; Mertens Function; Chebyshev Function; arithmetic function; error estimates; Perron’ s Formula; M¨ obius Inversion Formula; Dirichlet Partial Summation Formula
Online: 26 July 2024 (16:51:08 CEST)
ARTICLE
|
doi:10.20944/preprints202309.0723.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
arithmetic function; Mo¨bius function; Riemann Zeta function; Mertens function; Redheffer Matrix; Riemann Hypothesis; Roesler Matrix; spectral radius; Mertens Hypothesis
Online: 26 July 2024 (13:01:23 CEST)
Thu, 25 July 2024
ARTICLE
|
doi:10.20944/preprints202407.0961.v5
Online: 25 July 2024 (14:59:59 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1276.v5
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; Prime Counting Function; Prime Number Theorem; Error Estimates; Higher-Degree Polynomials; Weighted Sums; Logarithmic Weighted Sums
Online: 25 July 2024 (12:05:09 CEST)
Wed, 24 July 2024
ARTICLE
|
doi:10.20944/preprints202407.1276.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; Prime Counting Function; Prime Number Theorem; Error Estimates; Higher-Degree Polynomials; Weighted Sums; Logarithmic Weighted Sums
Online: 24 July 2024 (07:32:58 CEST)
Tue, 23 July 2024
ARTICLE
|
doi:10.20944/preprints202407.0961.v4
Online: 23 July 2024 (16:06:28 CEST)
ARTICLE
|
doi:10.20944/preprints202109.0480.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fermat's Equation; Prime Numbers; Coprime Numbers
Online: 23 July 2024 (13:53:56 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1276.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; Prime Counting Function; Prime Number Theorem; Error Estimates; Higher-Degree Polynomials; Weighted Sums; Logarithmic Weighted Sums
Online: 23 July 2024 (11:26:51 CEST)
ARTICLE
|
doi:10.20944/preprints202108.0146.v33
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof of; completed zeta function; Hadamard product
Online: 23 July 2024 (07:35:43 CEST)
ARTICLE
|
doi:10.20944/preprints202109.0480.v5
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fermat's Equation; Prime Numbers; Coprime Numbers
Online: 23 July 2024 (07:33:25 CEST)
Mon, 22 July 2024
ARTICLE
|
doi:10.20944/preprints202407.0961.v3
Online: 22 July 2024 (11:55:52 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1276.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; Prime Counting Function; Prime Number Theorem; Error Estimates; Higher-Degree Polynomials; Weighted Sums; Logarithmic Weighted Sums
Online: 22 July 2024 (05:19:42 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1648.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sum of powers; arithmetic progression; bernoulli numbers
Online: 22 July 2024 (04:58:09 CEST)
Thu, 18 July 2024
ARTICLE
|
doi:10.20944/preprints202407.0961.v2
Online: 18 July 2024 (14:33:11 CEST)
Tue, 16 July 2024
ARTICLE
|
doi:10.20944/preprints202407.1312.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
collatz conjecture; beal’ s conjecture; composite numbers; recursive structure; number of transactions
Online: 16 July 2024 (09:24:14 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1276.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; Prime Counting Function; Prime Number Theorem; Error Estimates; Polynomials
Online: 16 July 2024 (08:04:33 CEST)
Mon, 15 July 2024
ARTICLE
|
doi:10.20944/preprints202407.1030.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
quadratic space; isotropic vector; orthogonal basis; tangential basis; anisotropic basis
Online: 15 July 2024 (10:51:17 CEST)
Thu, 11 July 2024
ARTICLE
|
doi:10.20944/preprints202407.0961.v1
Online: 11 July 2024 (12:28:15 CEST)
Tue, 9 July 2024
ARTICLE
|
doi:10.20944/preprints202407.0759.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Zeta Function; Mertens Function; Chebyshev Function; arithmetic function; error estimates; Perron’ s Formula; M¨ obius Inversion Formula; Dirichlet Partial Summation Formula
Online: 9 July 2024 (16:22:12 CEST)
Mon, 1 July 2024
COMMUNICATION
|
doi:10.20944/preprints202407.0103.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Cauchy-Riemann equations; treonic number; treons; algebra B; Bermejo's algebra
Online: 1 July 2024 (13:26:58 CEST)
Thu, 27 June 2024
ARTICLE
|
doi:10.20944/preprints202406.1867.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
weighted generalized Drazin inverse; weighted group inverse; weak group inverse; complex matrix; Banach algebra.
Online: 27 June 2024 (08:10:56 CEST)
Tue, 25 June 2024
ARTICLE
|
doi:10.20944/preprints202002.0379.v12
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Prime numbers; Riemann zeta function; Chebyshev function
Online: 25 June 2024 (10:26:09 CEST)
Mon, 24 June 2024
ARTICLE
|
doi:10.20944/preprints202002.0379.v11
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Prime numbers; Riemann zeta function; Chebyshev function
Online: 24 June 2024 (08:58:02 CEST)
ARTICLE
|
doi:10.20944/preprints202406.0256.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
discrete dynamical systems; inverse modeling; topological equivalence; topological transport; algebraic trees; collatz conjecture; homeomorphic invariance
Online: 24 June 2024 (08:08:06 CEST)
Fri, 21 June 2024
ARTICLE
|
doi:10.20944/preprints202002.0379.v10
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Prime numbers; Riemann zeta function; Chebyshev function
Online: 21 June 2024 (10:43:53 CEST)
Thu, 20 June 2024
ARTICLE
|
doi:10.20944/preprints202406.1385.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
isomorphism; treonic number; algebra B; Euler identity; hyperbolic
Online: 20 June 2024 (08:30:58 CEST)
Wed, 19 June 2024
ARTICLE
|
doi:10.20944/preprints202406.1296.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime Numbers, Infinitude of Primes, Euclid's theorem, Proof of Euclid's theorem, Proof of Infinitude of Primes, Set Theory, Proof by Contradiction.
Online: 19 June 2024 (11:17:14 CEST)
Tue, 18 June 2024
ARTICLE
|
doi:10.20944/preprints202406.1246.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
core inverse; right core inverse; core-EP inverse; right core-EP inverse; generalized right core inverse; polar-like property; *-Banach algebra
Online: 18 June 2024 (14:14:02 CEST)
Mon, 17 June 2024
ARTICLE
|
doi:10.20944/preprints202406.1110.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
algebra B; Lie algebra; Malcev algebra; non-associative algebra
Online: 17 June 2024 (07:59:04 CEST)
Fri, 14 June 2024
ARTICLE
|
doi:10.20944/preprints202108.0146.v32
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof of; completed zeta function; Hadamard product; transfinite induction
Online: 14 June 2024 (14:56:25 CEST)
Mon, 10 June 2024
ARTICLE
|
doi:10.20944/preprints202406.0554.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
constant pi; iteration; nested radicals; rational approximation
Online: 10 June 2024 (09:59:01 CEST)
Fri, 7 June 2024
ARTICLE
|
doi:10.20944/preprints202405.0310.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
binary string; full binary directed tree; composite function; Collatz conjecture; ultimately periodic sequence
Online: 7 June 2024 (11:04:40 CEST)
Thu, 6 June 2024
ARTICLE
|
doi:10.20944/preprints202406.0265.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
dirichlet L-function; epstein zeta-function; hurwitz zeta-function; limit theorem; probability haar measure; weak convergence
Online: 6 June 2024 (02:54:33 CEST)
Wed, 5 June 2024
ARTICLE
|
doi:10.20944/preprints202406.0256.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
discrete dynamical systems; inverse modeling; topological equivalence; topological transport; algebraic trees; collatz conjecture; homeomorphic invariance
Online: 5 June 2024 (10:19:24 CEST)
Mon, 27 May 2024
REVIEW
|
doi:10.20944/preprints202405.1748.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
algebraic number fields; index of an element; generators of power integral bases; monogenic number fields; monogenic polynomials; pure fields; trinomials; relative extensions; algorithms
Online: 27 May 2024 (14:05:50 CEST)
Fri, 24 May 2024
ARTICLE
|
doi:10.20944/preprints202108.0146.v31
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof; completed zeta function
Online: 24 May 2024 (08:38:04 CEST)
Tue, 14 May 2024
ARTICLE
|
doi:10.20944/preprints202405.0952.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Catalan-Mersenne conjecture; Mersenne prime; double Mersenne prime
Online: 14 May 2024 (13:53:44 CEST)
Mon, 13 May 2024
ARTICLE
|
doi:10.20944/preprints202405.0707.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sophy-Peter Framework, New Number Theory, Modified Collatz Conjecture, Oscillating Theorem, General Zeta Function, Proof of the Riemann Hypothesis
Online: 13 May 2024 (03:09:42 CEST)
Wed, 8 May 2024
ARTICLE
|
doi:10.20944/preprints202405.0510.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
binary string; full binary directed tree; composite function; Collatz conjecture; ultimately periodic sequence
Online: 8 May 2024 (14:21:59 CEST)
Tue, 7 May 2024
ARTICLE
|
doi:10.20944/preprints202405.0310.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
binary string; full binary directed tree; composite function; Collatz conjecture; ultimately periodic sequence
Online: 7 May 2024 (03:03:05 CEST)
Sun, 28 April 2024
ARTICLE
|
doi:10.20944/preprints202404.1750.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
left-symmetric algebras; modified λ -differential operator; cohomology; deformation; abelian extension; crossed module
Online: 28 April 2024 (03:02:21 CEST)
Wed, 24 April 2024
ARTICLE
|
doi:10.20944/preprints202404.1559.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Jesmanowicz conjecture; Diophantine equation; Gaussian integer ring; 4k+1 type prime number
Online: 24 April 2024 (09:32:50 CEST)
Tue, 23 April 2024
ARTICLE
|
doi:10.20944/preprints202404.1411.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Pre-Lie algebras; modified Rota-Baxter operator; cohomology; deformation; abelian extension; pre-Lie 2-algebras
Online: 23 April 2024 (03:17:05 CEST)
Mon, 15 April 2024
ARTICLE
|
doi:10.20944/preprints202404.0943.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Binary pattern,Positive integers ,Collatz conjecture
Online: 15 April 2024 (10:55:15 CEST)
ARTICLE
|
doi:10.20944/preprints202404.0792.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
infinite series, infinity, infinitesimals
Online: 15 April 2024 (08:46:20 CEST)
Thu, 11 April 2024
ARTICLE
|
doi:10.20944/preprints202404.0792.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
infinity,infinitesimals, infinite series, infinite numbers
Online: 11 April 2024 (11:18:18 CEST)
ARTICLE
|
doi:10.20944/preprints202404.0778.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
collatz conjecture; proof; rules; dendritic pathway
Online: 11 April 2024 (07:07:56 CEST)
Wed, 10 April 2024
ARTICLE
|
doi:10.20944/preprints202404.0728.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Linear derivation; linear n-derivation; generalized linear n-derivation; Lie ideal; Banach algebra; C*-algebra
Online: 10 April 2024 (10:09:03 CEST)
Thu, 4 April 2024
ARTICLE
|
doi:10.20944/preprints202110.0087.v22
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sieve of eratosthenes; goldbach conjecture; polignac conjecture; twin prime conjecture
Online: 4 April 2024 (17:39:40 CEST)
Wed, 3 April 2024
ARTICLE
|
doi:10.20944/preprints202404.0268.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
cover; coproduct; finitely generated; $\mathcal{X}$-precover
Online: 3 April 2024 (08:28:04 CEST)
Thu, 28 March 2024
ARTICLE
|
doi:10.20944/preprints202403.1718.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
algebraic methods,quintic problem,Diophantine equation ,prime number
Online: 28 March 2024 (09:35:31 CET)
Mon, 18 March 2024
ARTICLE
|
doi:10.20944/preprints202403.0963.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
RHB correspondence; transformation formula for Lambert series; Hurwitz zeta-function; Lerch zeta-function; vector space structure
Online: 18 March 2024 (08:12:55 CET)
Tue, 12 March 2024
ARTICLE
|
doi:10.20944/preprints202403.0664.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
automorphism; idempotent ideal; Jacobian conjecture; polynomial mapping
Online: 12 March 2024 (13:46:14 CET)
Fri, 8 March 2024
ARTICLE
|
doi:10.20944/preprints202108.0146.v30
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof; completed zeta function
Online: 8 March 2024 (15:56:30 CET)
Wed, 28 February 2024
ARTICLE
|
doi:10.20944/preprints202402.1638.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
integers; Diophantine Equation; prime number
Online: 28 February 2024 (13:55:57 CET)
Mon, 26 February 2024
ARTICLE
|
doi:10.20944/preprints202402.1484.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(m,n)-closed ideals, (m,n)-prime ideals, (m,n)-closed submodules, n-absorbing submodules
Online: 26 February 2024 (15:33:56 CET)
Tue, 20 February 2024
ARTICLE
|
doi:10.20944/preprints202402.1143.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(finite) Euler sums; symmetric Euler sums; (finite) multiple T-values; symmetric multiple T-values; alternating multiple T-values
Online: 20 February 2024 (14:34:09 CET)
ARTICLE
|
doi:10.20944/preprints202402.1108.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; Riemann Hypothesis; analytic functions; trigonometric functions
Online: 20 February 2024 (08:49:02 CET)
Mon, 19 February 2024
ARTICLE
|
doi:10.20944/preprints202402.1003.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
monoid; Riemann hypothesis; square-free factorization; square-free number
Online: 19 February 2024 (07:58:05 CET)
Fri, 16 February 2024
ARTICLE
|
doi:10.20944/preprints202402.0910.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
fibonacci numbers; fibonacci polynomials; fibonacci spinors; generalized fibonacci spinors; generalized fibonacci polynomial spinors
Online: 16 February 2024 (14:15:45 CET)
Thu, 15 February 2024
ARTICLE
|
doi:10.20944/preprints202402.0842.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz Conjecture; Even Numbers; Odd Number; Directed Graphs
Online: 15 February 2024 (08:32:21 CET)
Tue, 13 February 2024
ARTICLE
|
doi:10.20944/preprints202110.0087.v21
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sieve of eratosthenes; goldbach conjecture; polignac conjecture; twin prime conjecture
Online: 13 February 2024 (07:15:16 CET)
Mon, 12 February 2024
ARTICLE
|
doi:10.20944/preprints202402.0673.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
integer; Collatz conjecture; Binary number
Online: 12 February 2024 (10:48:10 CET)
Fri, 9 February 2024
ARTICLE
|
doi:10.20944/preprints202402.0598.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Cohen-Macaulay ideals; vertex splittable ideals
Online: 9 February 2024 (14:56:26 CET)
ARTICLE
|
doi:10.20944/preprints202402.0588.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory, twin prime conjecture, gocgen approach, prime numbers, zeta function
Online: 9 February 2024 (11:57:30 CET)
ARTICLE
|
doi:10.20944/preprints202110.0087.v20
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sieve of eratosthenes; goldbach conjecture; polignac conjecture; twin prime conjecture
Online: 9 February 2024 (11:19:03 CET)
ARTICLE
|
doi:10.20944/preprints202402.0545.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Mersenne numbers; Generalized Mersenne numbers; divisibility and congruence properties
Online: 9 February 2024 (10:50:56 CET)
Tue, 6 February 2024
ARTICLE
|
doi:10.20944/preprints202108.0146.v29
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof; completed zeta function
Online: 6 February 2024 (11:07:21 CET)
ARTICLE
|
doi:10.20944/preprints202402.0335.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory, beals conjecture, germany problem, composite numbers
Online: 6 February 2024 (05:23:05 CET)
Mon, 5 February 2024
ARTICLE
|
doi:10.20944/preprints202402.0238.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Functions; Discrete Mathematics; Primes; Number Theory
Online: 5 February 2024 (08:02:06 CET)
Thu, 1 February 2024
ARTICLE
|
doi:10.20944/preprints202402.0051.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
ré nyi generalized entropies (RGEs); information theory; semi-group theory; uncertain reasoning
Online: 1 February 2024 (12:51:14 CET)
Mon, 22 January 2024
ARTICLE
|
doi:10.20944/preprints202401.1533.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory; twin prime conjecture; gocgen approach; prime numbers
Online: 22 January 2024 (10:08:26 CET)
Fri, 12 January 2024
ARTICLE
|
doi:10.20944/preprints202108.0146.v28
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof; completed zeta function
Online: 12 January 2024 (14:53:47 CET)
Fri, 5 January 2024
ARTICLE
|
doi:10.20944/preprints202401.0472.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(m; n)-prime ideal; (m; n)-closed ideal; n-absorbing ideal; avoidance theorem
Online: 5 January 2024 (14:21:25 CET)
Tue, 2 January 2024
ARTICLE
|
doi:10.20944/preprints202401.0052.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hom-Lie triple system; generalized Reynolds operator; cohomology; deformation; Hom-NS-Lie triple system
Online: 2 January 2024 (10:00:34 CET)
ARTICLE
|
doi:10.20944/preprints202401.0068.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Logarithm of an analytical function; Generalized Littlewood theorem; Hurwitz zeta-function; zeroes and poles of analytical function
Online: 2 January 2024 (09:43:48 CET)
Fri, 29 December 2023
ARTICLE
|
doi:10.20944/preprints202312.2327.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sums of consecutive squared integers equal to square integers; Quadratic diophantine equation; Generalized Pell equation; Fundamental solutions; Chebyshev polynomials
Online: 29 December 2023 (15:30:23 CET)
Mon, 25 December 2023
REVIEW
|
doi:10.20944/preprints202312.1878.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
symmetry; automorphism group; polyhedral graph; fullerene
Online: 25 December 2023 (15:57:27 CET)
Thu, 21 December 2023
ARTICLE
|
doi:10.20944/preprints202312.1618.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
riemann hypothesis; prime numbers; infinite power series; number theory
Online: 21 December 2023 (08:06:19 CET)
Tue, 19 December 2023
ARTICLE
|
doi:10.20944/preprints202312.1409.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
C-S inverse; C-S orthogonality; Strongly C-S orthogonality; C-S additivity; C-S partial order
Online: 19 December 2023 (10:46:12 CET)
Mon, 18 December 2023
TECHNICAL NOTE
|
doi:10.20944/preprints202312.1215.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz Conjecture, Proof, Induction
Online: 18 December 2023 (07:18:11 CET)
Mon, 4 December 2023
ARTICLE
|
doi:10.20944/preprints202312.0133.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
tangles; isomorphism; analogs of groups; matrices; group presentation
Online: 4 December 2023 (04:16:55 CET)
Thu, 30 November 2023
ARTICLE
|
doi:10.20944/preprints202309.1012.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
proof of Binary Golbdach conjecture; proof of Andrica conjecture; proof of Legendre conjecture; Goldbach partition semiprime; disproof of Riemann hypothesis; proof of twin prime conjecture
Online: 30 November 2023 (05:11:18 CET)
Mon, 27 November 2023
ARTICLE
|
doi:10.20944/preprints202311.1660.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Number Theory; Twin Primes; Goldbach’s Strong Conjecture; Polignac’s Conjecture
Online: 27 November 2023 (11:09:06 CET)
Wed, 8 November 2023
ARTICLE
|
doi:10.20944/preprints202310.0485.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Boolean ring; unit regular ring; invo-regular ring; tripotent ring, quasi invo-regular ring, strongly invo-regular ring, weakly tripotent ring
Online: 8 November 2023 (09:53:50 CET)
Mon, 6 November 2023
SHORT NOTE
|
doi:10.20944/preprints202310.0212.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
ring theory; algebra; mathematics; disproof; counterexamples; involution t-clean ring; weakly tripotent ring; invo-regular ring; locally invo-regular ring; strongly 2-nil clean ring; strongly nil clean ring
Online: 6 November 2023 (10:25:33 CET)
ARTICLE
|
doi:10.20944/preprints202311.0284.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number, Lucas number, gibonacci sequence, generalized Fibonacci sequence, summation identity, Gelin-Ces\`aro identity, Candido's identity.
Online: 6 November 2023 (08:16:09 CET)
Wed, 1 November 2023
SHORT NOTE
|
doi:10.20944/preprints202310.0212.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
ring theory; algebra; mathematics; disproof; counterexamples; involution t-clean ring, weakly tripotent ring
Online: 1 November 2023 (02:37:41 CET)
Mon, 30 October 2023
ARTICLE
|
doi:10.20944/preprints202108.0146.v27
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof; completed zeta function
Online: 30 October 2023 (10:34:15 CET)
Thu, 26 October 2023
ARTICLE
|
doi:10.20944/preprints202310.0485.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Boolean ring; unit regular ring; invo-regular ring; involution
Online: 26 October 2023 (11:32:25 CEST)
Wed, 25 October 2023
ARTICLE
|
doi:10.20944/preprints202310.1669.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
group inverse; matrix equality; Moore--Penrose inverse; range; rank
Online: 25 October 2023 (16:12:36 CEST)
ARTICLE
|
doi:10.20944/preprints202310.0968.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
tripotent ring; weakly tripotent ring; locally invo-regular ring; involution t-clean ring
Online: 25 October 2023 (09:56:55 CEST)
Tue, 17 October 2023
ARTICLE
|
doi:10.20944/preprints202310.1091.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sum of divisors; bi-unitary divisors; polynomials; finite fields; characteristic 2
Online: 17 October 2023 (11:59:49 CEST)
HYPOTHESIS
|
doi:10.20944/preprints202310.1050.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; riemann hypothesis; zeta function; analytic continuation; zeros
Online: 17 October 2023 (08:30:27 CEST)
Mon, 16 October 2023
ARTICLE
|
doi:10.20944/preprints202310.0968.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
tripotent ring; weakly tripotent ring; locally invo-regular rings
Online: 16 October 2023 (12:34:04 CEST)
ARTICLE
|
doi:10.20944/preprints202108.0146.v26
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); proof; completed zeta function
Online: 16 October 2023 (08:31:26 CEST)
Tue, 10 October 2023
ARTICLE
|
doi:10.20944/preprints202310.0485.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Boolean ring; unit regular ring; invo-regular ring; involution
Online: 10 October 2023 (11:55:51 CEST)
Mon, 9 October 2023
ARTICLE
|
doi:10.20944/preprints202310.0485.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Boolean ring; unit regular ring; invo-regular ring; involution
Online: 9 October 2023 (11:07:57 CEST)
ARTICLE
|
doi:10.20944/preprints202310.0393.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
EP element; *-DMP element; generalized core-EP inverse; additive property; generalized core-EP order; Banach algebra.
Online: 9 October 2023 (08:09:37 CEST)
Sat, 7 October 2023
ARTICLE
|
doi:10.20944/preprints202309.1012.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
proof of Binary Golbdach conjecture; proof of Andrica conjecture; proof of Legendre conjecture; Goldbach partition semiprime; disproof of Riemann hypothesis; proof of twin prime conjecture
Online: 7 October 2023 (08:13:27 CEST)