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/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/preprints201804.0121.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
computable upper bound on the heights of rational solutions; computable upper bound on the moduli of integer solutions; Diophantine equation with a finite number of solutions; finitefold Diophantine representation; single query to an oracle that decides whether or not a given Diophantine equation has an integer solution; single query to an oracle that decides whether or not a given Diophantine equation has a rational solution
Online: 16 April 2018 (05:12:59 CEST)
ARTICLE

doi:10.20944/preprints202202.0021.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Number theory; Diophantine equation; abc conjecture
Online: 13 May 2022 (04:17:21 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
Subject:
Physical Sciences,
Thermodynamics
Keywords:
Deep Learning; Thermodynamics; Learning and Generalization; Diophantine equations
Online: 13 October 2020 (14:32:18 CEST)
ARTICLE

doi:10.20944/preprints201902.0156.v4
Subject:
Computer Science And Mathematics,
Logic
Keywords:
DavisPutnamRobinsonMatiyasevich theorem, Diophantine equation which has at most finitely many solutions in \mbox{nonnegative} integers, Hilbert's Tenth Problem, Hilbert's Tenth Problem for Q, Matiyasevich's theorem, recursively enumerable set, Smorynski's theorem
Online: 1 March 2019 (12:58:53 CET)
ARTICLE

doi:10.20944/preprints201910.0084.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
ErdősStraus Conjecture; Directed Networks; Egyptian Fractions; Diophantine Equations.
Online: 8 October 2019 (10:33:48 CEST)
ARTICLE

doi:10.20944/preprints202409.0551.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
product theorem; uniform distribution; Diophantine equation; transient intensity; controlled structure
Online: 6 September 2024 (16:51:06 CEST)
ARTICLE

doi:10.20944/preprints202108.0176.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
consecutive sum of the digits; algebraic equations; diophantine equations; arithmetic functions
Online: 9 August 2021 (07:52:49 CEST)
ARTICLE

doi:10.20944/preprints201709.0127.v2
Subject:
Computer Science And Mathematics,
Logic
Keywords:
DavisPutnan RobinsonMatiyasevich theorem; Diophantine equation which has at most finitely many solutions in nonnegative integers; Diophantine equation which has at most finitely many solutions in positive integers; Diophantine equation which has at most finitely many integer solutions; Hilbert’s Tenth Problem; Matiyasevich’s theorem; recursively enumerable set; Smoryński’s theorem
Online: 27 September 2017 (04:05:45 CEST)
ARTICLE

doi:10.20944/preprints202111.0491.v1
Subject:
Physical Sciences,
Space Science
Keywords:
Beyond the Standard Model; Concordance cosmology; Dark matter; Galaxy evolution; Inflation; Diophantine equations
Online: 26 November 2021 (08:28:46 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)
ARTICLE

doi:10.20944/preprints202106.0029.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
discretestructured population; matrix population model; population projection matrices; calibration; net reproductive rate; reproductive uncertainty; colony excavation; Diophantine systems
Online: 1 June 2021 (11:49:45 CEST)