ARTICLE

doi:10.20944/preprints201804.0121.v2
Subject:
Mathematics & Computer Science,
Algebra & 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:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Number theory; Diophantine equation; abc conjecture
Online: 13 May 2022 (04:17:21 CEST)
ARTICLE
Subject:
Physical Sciences,
General & Theoretical Physics
Keywords:
Deep Learning; Thermodynamics; Learning and Generalization; Diophantine equations
Online: 13 October 2020 (14:32:18 CEST)
ARTICLE

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

doi:10.20944/preprints202108.0176.v1
Subject:
Mathematics & Computer Science,
Algebra & 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:
Mathematics & Computer Science,
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,
General & Theoretical Physics
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/preprints202106.0029.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
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)
ARTICLE

doi:10.20944/preprints201902.0156.v4
Subject:
Mathematics & Computer Science,
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)