Affiliation:
1. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China
2. Dipartimento di Matematica, Università di Roma "Tor Vergata", Roma 00133, Italy
Abstract
In this paper we establish some new congruences involving central binomial coefficients as well as Catalan numbers. Let p be a prime and let a be any positive integer. We determine [Formula: see text] for d = 0, …, pa and [Formula: see text] for δ = 0, 1. We also show that [Formula: see text] for every n = 0, 1, 2, …, where Cm is the Catalan number [Formula: see text], and [Formula: see text] is the Legendre symbol.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Reference9 articles.
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2. On Wolstenholme's theorem and its converse
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