Congruences for Apéry numbers βn =∑k=0nn k2n+k k

Autor:	Zhi-Wei Sun, Yuri Matiyasevich, Hui-Qin Cao
Rok vydání:	2019
Předmět:	Combinatorics Algebra and Number Theory Integer Congruence relation Bernoulli number Mathematics Apéry's constant
Zdroj:	International Journal of Number Theory. 16:981-1003
ISSN:	1793-7310 1793-0421
DOI:	10.1142/s1793042120500505
Popis:	In this paper, we establish some congruences involving the Apéry numbers [Formula: see text]. For example, we show that [Formula: see text] for any positive integer [Formula: see text], and [Formula: see text] for any prime [Formula: see text], where [Formula: see text] is the [Formula: see text]th Bernoulli number. We also present certain relations between congruence properties of the two kinds of Aṕery numbers, [Formula: see text] and [Formula: see text].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b2faf32736c1c6e0a14e2e932ac0d7a5 https://doi.org/10.1142/s1793042120500505 Zobrazit plný text záznamu