ARTICLE

doi:10.20944/preprints202409.0541.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime numbers; Riemann's hypothesis; three numbers 3; 6; 9
Online: 6 September 2024 (12:07:54 CEST)
ARTICLE

doi:10.20944/preprints202408.1416.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
circulant matrix; prime number; the Goldbach conjecture; the ternary Goldbach conjecture
Online: 5 September 2024 (10:42:32 CEST)
ARTICLE

doi:10.20944/preprints202408.1439.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Zeta Function; Number Theory; Riemann's Hypothesis
Online: 4 September 2024 (04:42:56 CEST)
ARTICLE

doi:10.20944/preprints202409.0181.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Nilpotent element; Armendariz module; Armendariz ring; nilArmendariz module
Online: 3 September 2024 (07:55:50 CEST)
ARTICLE

doi:10.20944/preprints202409.0039.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
K$\ddot{o}$the Conjecture; Rings; Ideals; Nil Ideal; Jacobson Radical; Nilpotent; Noetherian Rings; Artinian Rings; TwoSided Ideals; K$\ddot{o}$the Subsets; Commutative Rings; Matrix Rings; Polynomial Rings; Algebra; Tensor Product; Modules; Field Extension
Online: 2 September 2024 (13:18:01 CEST)
ARTICLE

doi:10.20944/preprints202409.0090.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Drazin inverse; gDrazin inverse; antitriangular matrix; quadratic equation; Banach algebra
Online: 2 September 2024 (10:52:12 CEST)
ARTICLE

doi:10.20944/preprints202409.0063.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Lie algebra; ternary associativity of the first and second kind; ternary algebra; ternary commutator; ternary Lie algebra at cube root of unity; general affine group
Online: 2 September 2024 (09:47:15 CEST)
ARTICLE

doi:10.20944/preprints202408.1161.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime gaps; prime numbers; Chebyshev function; primorial numbers
Online: 23 August 2024 (09:45:01 CEST)
ARTICLE

doi:10.20944/preprints202408.0451.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Ramanujan; Prime counting function; Chebyshev Theta function; Mathematica; Primes
Online: 22 August 2024 (02:51:25 CEST)
ARTICLE

doi:10.20944/preprints202407.0759.v3
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: 21 August 2024 (00:08:05 CEST)
ARTICLE

doi:10.20944/preprints202407.1276.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; prime counting function; Prime Number Theorem; Error Estimates; HigherDegree Polynomials; weighted sums; logarithmic weighted sums
Online: 20 August 2024 (08:42:50 CEST)
SHORT NOTE

doi:10.20944/preprints202002.0379.v9
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Nicolas theorem; prime numbers; Chebyshev function
Online: 14 October 2021 (14:15:38 CEST)
ARTICLE

doi:10.20944/preprints202109.0480.v8
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fermat’ s equation; prime numbers; coprime integers
Online: 19 August 2024 (11:18:42 CEST)
ARTICLE

doi:10.20944/preprints202408.1301.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
prime ideal; primary ideal; squaredifference factor absorbing ideal; squaredifference factor absorbing primary ideal
Online: 19 August 2024 (09:51:37 CEST)
ARTICLE

doi:10.20944/preprints202408.1127.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fundamental Theorem of Algebra; Recurrent Equation; Polynomial Coefficient Function; Complex Hyperspace
Online: 15 August 2024 (15:19:41 CEST)
ARTICLE

doi:10.20944/preprints202108.0146.v9
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); Proof; Completed zeta function $\xi(s)$
Online: 14 October 2021 (14:14:19 CEST)
ARTICLE

doi:10.20944/preprints202408.0348.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann hypothesis; Robin's criterion; superabundant numbers; prime numbers
Online: 13 August 2024 (05:32:52 CEST)
ARTICLE

doi:10.20944/preprints202408.0216.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
core inverse; coreEP inverse; generalized coreEP inverse; triangular matrix; Block operator matrix; Banach algebra.
Online: 4 August 2024 (23:35:06 CEST)
ARTICLE

doi:10.20944/preprints202407.2549.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
multirings; involutions; abstract real algebra
Online: 31 July 2024 (14:11:40 CEST)
ARTICLE

doi:10.20944/preprints202407.2425.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
; gamebased learning; assessment; design; proficiency
Online: 30 July 2024 (09:08:07 CEST)
ARTICLE

doi:10.20944/preprints202407.2314.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime numbers; Composite numbers; 6n±; 1
Online: 30 July 2024 (00:07:38 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)
ARTICLE

doi:10.20944/preprints202407.0961.v5
Online: 25 July 2024 (14:59:59 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)
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/preprints202407.1030.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)
COMMUNICATION

doi:10.20944/preprints202407.0103.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
CauchyRiemann equations; treonic number; treons; algebra B; Bermejo's algebra
Online: 1 July 2024 (13:26:58 CEST)
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)
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)
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)
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)
ARTICLE

doi:10.20944/preprints202406.1246.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
core inverse; right core inverse; coreEP inverse; right coreEP inverse; generalized right core inverse; polarlike property; *Banach algebra
Online: 18 June 2024 (14:14:02 CEST)
ARTICLE

doi:10.20944/preprints202406.1110.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
algebra B; Lie algebra; Malcev algebra; nonassociative algebra
Online: 17 June 2024 (07:59:04 CEST)
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)
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)
ARTICLE

doi:10.20944/preprints202406.0265.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
dirichlet Lfunction; epstein zetafunction; hurwitz zetafunction; limit theorem; probability haar measure; weak convergence
Online: 6 June 2024 (02:54:33 CEST)
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)
ARTICLE

doi:10.20944/preprints202405.0952.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
CatalanMersenne conjecture; Mersenne prime; double Mersenne prime
Online: 14 May 2024 (13:53:44 CEST)
ARTICLE

doi:10.20944/preprints202405.0707.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
SophyPeter 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)
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)
ARTICLE

doi:10.20944/preprints202404.1750.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
leftsymmetric algebras; modified λ differential operator; cohomology; deformation; abelian extension; crossed module
Online: 28 April 2024 (03:02:21 CEST)
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)
ARTICLE

doi:10.20944/preprints202404.1411.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
PreLie algebras; modified RotaBaxter operator; cohomology; deformation; abelian extension; preLie 2algebras
Online: 23 April 2024 (03:17:05 CEST)
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)
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)
ARTICLE

doi:10.20944/preprints202404.0728.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Linear derivation; linear nderivation; generalized linear nderivation; Lie ideal; Banach algebra; C*algebra
Online: 10 April 2024 (10:09:03 CEST)
ARTICLE

doi:10.20944/preprints202110.0087.v9
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sieve of Eratosthenes; Goldbach conjecture; Polignac conjecture; Twin Prime conjecture
Online: 18 August 2022 (03:53:01 CEST)
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)
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)
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 zetafunction; Lerch zetafunction; vector space structure
Online: 18 March 2024 (08:12:55 CET)
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)
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)
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, nabsorbing submodules
Online: 26 February 2024 (15:33:56 CET)
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 Tvalues; symmetric multiple Tvalues; alternating multiple Tvalues
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)
ARTICLE

doi:10.20944/preprints202402.1003.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
monoid; Riemann hypothesis; squarefree factorization; squarefree number
Online: 19 February 2024 (07:58:05 CET)
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)
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)
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)
ARTICLE

doi:10.20944/preprints202402.0598.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
CohenMacaulay 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/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)
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)
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)
ARTICLE

doi:10.20944/preprints202402.0051.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
ré; nyi generalized entropies (RGEs); information theory; semigroup theory; uncertain reasoning
Online: 1 February 2024 (12:51:14 CET)
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)
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; nabsorbing ideal; avoidance theorem
Online: 5 January 2024 (14:21:25 CET)
ARTICLE

doi:10.20944/preprints202401.0052.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
HomLie triple system; generalized Reynolds operator; cohomology; deformation; HomNSLie 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 zetafunction; zeroes and poles of analytical function
Online: 2 January 2024 (09:43:48 CET)
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)
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)
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)
ARTICLE

doi:10.20944/preprints202312.1409.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
CS inverse; CS orthogonality; Strongly CS orthogonality; CS additivity; CS partial order
Online: 19 December 2023 (10:46:12 CET)
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)
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)
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)
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)
ARTICLE

doi:10.20944/preprints202310.0485.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Boolean ring; unit regular ring; invoregular ring; tripotent ring, quasi invoregular ring, strongly invoregular ring, weakly tripotent ring
Online: 8 November 2023 (09:53:50 CET)
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 tclean ring; weakly tripotent ring; invoregular ring; locally invoregular ring; strongly 2nil 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, GelinCes\`aro identity, Candido's identity.
Online: 6 November 2023 (08:16:09 CET)
ARTICLE

doi:10.20944/preprints202310.1669.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
group inverse; matrix equality; MoorePenrose 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 invoregular ring; involution tclean ring
Online: 25 October 2023 (09:56:55 CEST)
ARTICLE

doi:10.20944/preprints202310.1091.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sum of divisors; biunitary 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)
ARTICLE

doi:10.20944/preprints202310.0393.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
EP element; *DMP element; generalized coreEP inverse; additive property; generalized coreEP order; Banach algebra.
Online: 9 October 2023 (08:09:37 CEST)
ARTICLE

doi:10.20944/preprints202310.0219.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
generalized coreEP inverse; generalized group inverse; weighted generalized Drazin inverse; weighted weak group inverse; Banach *algebra
Online: 4 October 2023 (07:21:50 CEST)
ARTICLE

doi:10.20944/preprints202305.2161.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
number theory; Collatz conjecture
Online: 22 September 2023 (07:42:19 CEST)
ARTICLE

doi:10.20944/preprints202309.1200.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
binary representation; composite function; Collatz conjecture; ultimately periodic sequence; chaos
Online: 19 September 2023 (08:07:22 CEST)
ARTICLE

doi:10.20944/preprints202309.0481.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Power integral bases; theorem of Ore; prime ideal factorization; common index divisor
Online: 7 September 2023 (07:08:03 CEST)
ARTICLE

doi:10.20944/preprints202210.0432.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz operation; Collatz inverse operation; Collatz numbers
Online: 6 September 2023 (10:27:26 CEST)
ARTICLE

doi:10.20944/preprints202309.0320.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Residuated lattices; Idempotent semigroup; Chain; Construction; Amalgamation
Online: 6 September 2023 (05:27:17 CEST)
ARTICLE

doi:10.20944/preprints202212.0171.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Jacobian conjecture; Keller maps; injectivity of Keller maps
Online: 6 September 2023 (03:33:44 CEST)
ARTICLE

doi:10.20944/preprints202308.0928.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Prime ring; prime ideal; derivation; symmetric nderivation; symmetric generalized nderivation
Online: 11 August 2023 (09:53:22 CEST)
COMMUNICATION

doi:10.20944/preprints202308.0106.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; 3n+1 problem; inequality relations
Online: 2 August 2023 (08:01:29 CEST)
ARTICLE

doi:10.20944/preprints202307.1834.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Jacobian Conjecture, 3fold linear type map, General 3fold linear type map, Homogeneous type map, Jacobian condition, Coordinate transformation, Equivalent algebraic equations, Invariance of the Jacobian condition, General chain expression, Inverse polynomial map, Injective problem
Online: 1 August 2023 (09:46:21 CEST)
ARTICLE

doi:10.20944/preprints202307.0401.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Theta function; Weierstrass Sigma function; Weierstrass Elliptic function; Square sums 5 theorem
Online: 6 July 2023 (08:50:25 CEST)
ARTICLE

doi:10.20944/preprints202307.0252.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Ramanujan's theta function; Modular equation; $q$Shifted factorial
Online: 5 July 2023 (03:39:26 CEST)
ARTICLE

doi:10.20944/preprints202306.1164.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Laurent series; constant term; modular form; integer partition
Online: 29 June 2023 (02:07:30 CEST)
ARTICLE

doi:10.20944/preprints202306.0163.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Derivation; *centralizing derivation; *commuting derivation; involution; prime ideal; prime ring; semiprime ring
Online: 2 June 2023 (08:59:17 CEST)