Algebra and Number Theory
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 nderivation; generalized linear nderivation; 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 zetafunction; Lerch zetafunction; 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, nabsorbing 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 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)
Mon, 19 February 2024
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)
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:
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/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; semigroup 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; nabsorbing 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:
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)
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:
CS inverse; CS orthogonality; Strongly CS orthogonality; CS additivity; CS 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; invoregular ring; tripotent ring, quasi invoregular ring, strongly invoregular 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 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)
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 tclean 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; invoregular 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; 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)
Tue, 17 October 2023
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)
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 invoregular 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; invoregular 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; invoregular 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 coreEP inverse; additive property; generalized coreEP 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)
Wed, 4 October 2023
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)
SHORT NOTE

doi:10.20944/preprints202310.0212.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
ring theory; algebra; mathematics; disproof; counterexamples
Online: 4 October 2023 (05:28:47 CEST)
Fri, 22 September 2023
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)
Tue, 19 September 2023
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)
Fri, 15 September 2023
ARTICLE

doi:10.20944/preprints202309.1012.v1
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
Online: 15 September 2023 (04:23:12 CEST)
Tue, 12 September 2023
ARTICLE

doi:10.20944/preprints202309.0723.v1
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: 12 September 2023 (08:55:16 CEST)
Thu, 7 September 2023
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)
Wed, 6 September 2023
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)
Fri, 11 August 2023
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)
Thu, 10 August 2023
ARTICLE

doi:10.20944/preprints202110.0087.v19
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sieve of eratosthenes; goldbach conjecture; polignac conjecture; twin prime conjecture
Online: 10 August 2023 (05:23:00 CEST)
Wed, 2 August 2023
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)
Tue, 1 August 2023
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)
Thu, 27 July 2023
ARTICLE

doi:10.20944/preprints202307.1834.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Jacobian Conjecture; 3fold linear type map; Jacobian condition; Coordinate transformation; Equivalent algebraic equations; General chain expression
Online: 27 July 2023 (09:41:03 CEST)
Thu, 13 July 2023
ARTICLE

doi:10.20944/preprints202110.0087.v18
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sieve of Eratosthenes; Goldbach conjecture; Polignac conjecture; Twin Prime conjecture
Online: 13 July 2023 (10:01:00 CEST)
Thu, 6 July 2023
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)
Wed, 5 July 2023
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)
Thu, 29 June 2023
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)
Mon, 26 June 2023
ARTICLE

doi:10.20944/preprints202306.1164.v5
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Laurent series; constant term; modular form; integer partition
Online: 26 June 2023 (05:23:28 CEST)
Wed, 21 June 2023
ARTICLE

doi:10.20944/preprints202306.1164.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Laurent series; constant term; modular form; integer partition
Online: 21 June 2023 (02:46:26 CEST)
Tue, 20 June 2023
ARTICLE

doi:10.20944/preprints202306.1164.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Laurent series; constant term; modular form; integer partition
Online: 20 June 2023 (02:58:25 CEST)
Mon, 19 June 2023
ARTICLE

doi:10.20944/preprints202306.1164.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Laurent series; constant term; modular form; integer partition
Online: 19 June 2023 (05:14:08 CEST)
Fri, 16 June 2023
ARTICLE

doi:10.20944/preprints202306.1164.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Laurent series; constant term; modular form; integer partition
Online: 16 June 2023 (03:45:35 CEST)
Fri, 2 June 2023
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)
Fri, 19 May 2023
ARTICLE

doi:10.20944/preprints202304.0931.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; binary number; ultimately periodic; chaos
Online: 19 May 2023 (16:16:49 CEST)
Thu, 18 May 2023
ARTICLE

doi:10.20944/preprints202303.0420.v7
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Brocard's problem; BrocardRamanujan equation x!+1=y^2; composite Fermat numbers; composite numbers of the form 2^(2^n)+1; Erd\"os' equation x(x+1)=y!
Online: 18 May 2023 (08:25:27 CEST)
Tue, 16 May 2023
ARTICLE

doi:10.20944/preprints202305.1118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
modular curve; elliptic curve; recursive structure; Manin's symbols over $\mathbb{Q}$; cusps; elliptical points; algorithmic number theory
Online: 16 May 2023 (07:23:25 CEST)
Fri, 12 May 2023
ARTICLE

doi:10.20944/preprints202305.0905.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Commutative superalgebra; Lie superalgebra, Poisson algebra; transposed Poisson algebra; graded differential algebra; quantum YangMills theory
Online: 12 May 2023 (08:38:03 CEST)
Thu, 11 May 2023
ARTICLE

doi:10.20944/preprints202303.0420.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Brocard's problem; BrocardRamanujan equation x!+1=y^2; composite Fermat numbers; composite numbers of the form 2^(2^n)+1; Erd\"os' equation x(x+1)=y!
Online: 11 May 2023 (04:42:23 CEST)
Tue, 9 May 2023
ARTICLE

doi:10.20944/preprints202304.1241.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Quaternion; Quadratic Equation; Roots
Online: 9 May 2023 (04:36:31 CEST)
ARTICLE

doi:10.20944/preprints202304.0093.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; 3n+1; inequality relations
Online: 9 May 2023 (04:15:37 CEST)
Sat, 6 May 2023
ARTICLE

doi:10.20944/preprints202304.1241.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Quaternion; Quadratic Equation; Roots
Online: 6 May 2023 (04:13:34 CEST)
Fri, 5 May 2023
ARTICLE

doi:10.20944/preprints202304.0093.v5
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; 3n+1; inequality relations
Online: 5 May 2023 (10:18:23 CEST)
Tue, 2 May 2023
ARTICLE

doi:10.20944/preprints202305.0071.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz Conjecture; 3x + 1 Conjecture; base2 numeral system
Online: 2 May 2023 (08:10:49 CEST)
Sun, 30 April 2023
ARTICLE

doi:10.20944/preprints202304.1241.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Quaternion; Quadratic Equation; Roots
Online: 30 April 2023 (02:43:13 CEST)
Thu, 27 April 2023
ARTICLE

doi:10.20944/preprints202303.0420.v5
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Brocard's problem; BrocardRamanujan equation x!+1=y^2; composite Fermat numbers; composite numbers of the form 2^(2^n)+1; Erd\"os' equation x(x+1)=y!
Online: 27 April 2023 (04:44:46 CEST)
Wed, 26 April 2023
ARTICLE

doi:10.20944/preprints202304.0931.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; binary number; ultimately periodic; chaos
Online: 26 April 2023 (03:01:31 CEST)
Fri, 21 April 2023
ARTICLE

doi:10.20944/preprints202304.0093.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; 3n+1; inequality relations
Online: 21 April 2023 (09:25:33 CEST)
Wed, 19 April 2023
ARTICLE

doi:10.20944/preprints202303.0420.v4
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Brocard's problem; BrocardRamanujan equation x!+1=y^2; composite Fermat numbers; composite numbers of the form 2^(2^n)+1; Erd\"os' equation x(x+1)=y!
Online: 19 April 2023 (05:34:48 CEST)
Mon, 17 April 2023
ARTICLE

doi:10.20944/preprints202108.0146.v25
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Riemann Hypothesis (RH); Proof; Completed zeta function
Online: 17 April 2023 (04:41:40 CEST)
ARTICLE

doi:10.20944/preprints202303.0420.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Brocard's problem; BrocardRamanujan equation x!+1=y^2; composite Fermat numbers; composite numbers of the form 2^(2^n)+1; Erd\"os' equation x(x+1)=y!
Online: 17 April 2023 (04:05:43 CEST)
Tue, 11 April 2023
ARTICLE

doi:10.20944/preprints202304.0093.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Collatz conjecture; 3n+1; inequality relations
Online: 11 April 2023 (10:05:24 CEST)