Multivariate Apéry numbers and supercongruences of rational functions
From MaRDI portal
Publication:482302
DOI10.2140/ant.2014.8.1985zbMath1306.11005arXiv1401.0854OpenAlexW3105024968WikidataQ114045591 ScholiaQ114045591MaRDI QIDQ482302
Publication date: 22 December 2014
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0854
Factorials, binomial coefficients, combinatorial functions (05A10) Recurrences (11B37) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)
Related Items
On some congruences involving Apéry-like numbers Sn ⋮ Divisibility properties of sporadic Apéry-like numbers ⋮ Supercongruences for the Almkvist–Zudilin numbers ⋮ Some conjectural supercongruences related to Bernoulli and Euler numbers ⋮ Lucas congruences for the Ap\'ery numbers modulo $p^2$ ⋮ Diagonal asymptotics for symmetric rational functions via ACSV ⋮ Generalized Lucas congruences and linear \(p\)-schemes ⋮ Proof of a Dwork-type supercongruence by induction ⋮ New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences ⋮ On the representability of sequences as constant terms ⋮ Gessel-Lucas congruences for sporadic sequences ⋮ Congruences for Apéry numbers βn =∑k=0nn k2n+k k ⋮ Supercongruences for polynomial analogs of the Apéry numbers ⋮ Supercongruences for sporadic sequences ⋮ Gaussian binomial coefficients with negative arguments ⋮ Sequences, modular forms and cellular integrals ⋮ Diagonal representation of algebraic power series: a glimpse behind the scenes ⋮ On a class of hypergeometric diagonals ⋮ Automatic congruences for diagonals of rational functions
