[引用][C] Multivariate Apéry numbers and supercongruences of rational functions
A Straub - Algebra & Number Theory, 2014 - msp.org
Multivariate Apéry numbers and supercongruences of rational functions Page 1 Algebra &
Number Theory msp Volume 8 2014 No. 8 Multivariate Apéry numbers and …
Number Theory msp Volume 8 2014 No. 8 Multivariate Apéry numbers and …
New representations for all sporadic Apéry-like sequences, with applications to congruences
O Gorodetsky - Experimental Mathematics, 2023 - Taylor & Francis
We find new representations, in terms of constant terms of powers of Laurent polynomials,
for all the 15 sporadic Apéry-like sequences discovered by Zagier, Almkvist-Zudilin and …
for all the 15 sporadic Apéry-like sequences discovered by Zagier, Almkvist-Zudilin and …
Irrationality proofs for zeta values, moduli spaces and dinner parties
F Brown - arXiv preprint arXiv:1412.6508, 2014 - arxiv.org
A simple geometric construction on the moduli spaces $\mathcal {M} _ {0, n} $ of curves of
genus $0 $ with $ n $ ordered marked points is described which gives a common framework …
genus $0 $ with $ n $ ordered marked points is described which gives a common framework …
Divisibility properties of sporadic Apéry-like numbers
In 1982, Gessel showed that the Apéry numbers associated to the irrationality of ζ (3) satisfy
Lucas congruences. Our main result is to prove corresponding congruences for all known …
Lucas congruences. Our main result is to prove corresponding congruences for all known …
Gessel–Lucas congruences for sporadic sequences
A Straub - Monatshefte für Mathematik, 2024 - Springer
For each of the 15 known sporadic Apéry-like sequences, we prove congruences modulo p
2 that are natural extensions of the Lucas congruences modulo p. This extends a result of …
2 that are natural extensions of the Lucas congruences modulo p. This extends a result of …
Proof of two conjectures of Sun on congruences for Franel numbers
VJW Guo - Integral Transforms and Special Functions, 2013 - Taylor & Francis
Proof of two conjectures of Sun on congruences for Franel numbers Page 1 Integral
Transforms and Special Functions, 2013 Vol. 24, No. 7, 532–539, http://dx.doi.org/10.1080/10652469.2012.715160 …
Transforms and Special Functions, 2013 Vol. 24, No. 7, 532–539, http://dx.doi.org/10.1080/10652469.2012.715160 …
[PDF][PDF] Supercongruences for Almkvist--Zudilin sequences
JC Liu, HX Ni - arXiv preprint arXiv:2004.07652, 2020 - arxiv.org
arXiv:2004.07652v2 [math.NT] 20 Apr 2020 Page 1 arXiv:2004.07652v2 [math.NT] 20 Apr
2020 Supercongruences for Almkvist–Zudilin sequences Ji-Cai Liu1 and He-Xia Ni2 …
2020 Supercongruences for Almkvist–Zudilin sequences Ji-Cai Liu1 and He-Xia Ni2 …
A supercongruence for generalized Domb numbers
R Osburn, B Sahu - Functiones et Approximatio Commentarii …, 2013 - projecteuclid.org
Using techniques due to Coster, we prove a supercongruence for a generalization of the
Domb numbers. This extends a recent result of Chan, Cooper and Sica and confirms a …
Domb numbers. This extends a recent result of Chan, Cooper and Sica and confirms a …
Some supercongruences on truncated hypergeometric series
JC Liu - Journal of Difference Equations and Applications, 2018 - Taylor & Francis
Abstract In 2003, Rodriguez-Villegas conjectured four supercongruences on the truncated 3
F 2 hypergeometric series for certain modular K3 surfaces, which were gradually proved by …
F 2 hypergeometric series for certain modular K3 surfaces, which were gradually proved by …