A supercongruence relation among Ap

DOI10.4064/cm8108-4-2020zbMath1462.11009OpenAlexW3082992277MaRDI QIDQ5146415

Ji-Cai Liu

Publication date: 25 January 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8108-4-2020

zbMATH Keywords

supercongruencesApéry numbers\(p\)-adic gamma functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

On two supercongruences involving Almkvist-Zudilin sequences

Uses Software

• SIGMA

Cites Work

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• Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials
• Some supercongruences occurring in truncated hypergeometric series
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• SPECIAL VALUES OF THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR AND CONFLUENT HEUN EQUATIONS
• NEW CONGRUENCES FOR SUMS INVOLVING APÉRY NUMBERS OR CENTRAL DELANNOY NUMBERS
• APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
• A Gaussian hypergeometric series evaluation and Apéry number congruences
• On a sum of Apéry-like numbers arising from spectral zeta functions
• Number Theory

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