On a conjecture of Chowla et al
type: Item
instance of: scholarly article
title: On a conjecture of Chowla et al
zbMATH Open document ID: 0934.11004
published in: Journal of Number Theory
publication date: 2000-04-26T00:00:00Z
review text: Let \[ N(m,n)= \sum_{k=0}^n \binom {n}{k}^2 \binom{n+k}{k}^m \] where \(m\geq 0\). The author proves several congruences involving the \(N(m,n)\), for example: \[ N(m,p)\equiv 1+2^m\pmod{p^3} \] if the prime \(p>3\).
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11B75
zbMATH DE Number: 1229758
zbMATH Keywords: binomial coefficients
zbMATH Keywords: congruences
Wikidata QID: Q123260245
author: Balasubramanian Sury
reviewed by: Neville Robbins
MaRDI profile type: Publication
full work available at URL: jnth.1998.2255
OpenAlex ID: W1502260812
cites work: Congruence properties of Apéry numbers
cites work: Some congruences for the Apéry numbers
cites work: Another congruence for the Apéry numbers
DOI: 10.1006/JNTH.1998.2255
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description: scientific article; zbMATH DE number 1229758