On sums of binomial coefficients involving Catalan and delannoy numbers modulo \(p^2\)
type: Item
instance of: scholarly article
title: On sums of binomial coefficients involving Catalan and delannoy numbers modulo \(p^2\)
zbMATH Open document ID: 1433.11016
author: Guo-Shuai Mao
published in: The Ramanujan Journal
publication date: 2018-02-13T00:00:00Z
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 11A07
zbMATH DE Number: 6837784
zbMATH Keywords: central binomial coefficients
zbMATH Keywords: congruences
zbMATH Keywords: Catalan numbers
zbMATH Keywords: Delannoy numbers
zbMATH Keywords: harmonic numbers
MaRDI profile type: Publication
full work available at URL: s11139-016-9853-6
OpenAlex ID: W2579837795
cites work: Q5678871
cites work: Congruences for central binomial sums and finite polylogarithms
cites work: A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function.
cites work: Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
cites work: A combinatorial identity with application to Catalan numbers
cites work: Q4462785
cites work: Congruences concerning Legendre polynomials
cites work: On congruences related to central binomial coefficients
cites work: On Delannoy numbers and Schröder numbers
cites work: Super congruences and Euler numbers
cites work: On sums of binomial coefficients modulo \(p^2\)
cites work: Generalized Legendre polynomials and related supercongruences
cites work: A new series for π3and related congruences
cites work: Congruences for the second-order Catalan numbers
cites work: Q5259981
DOI: 10.1007/S11139-016-9853-6
description: scientific article; zbMATH DE number 6837784