TWO INTEGRAL REPRESENTATIONS FOR APÉRY CONSTANT AND ITS APPLICATIONS TO MULTIPLE ZETA VALUES (Analytic Number Theory and Related Topics)

Autor:	KOBAYASHI, MASATO
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Apéry constant Wallis integral central binomial sums Riemann zeta function 11M32 multiple zeta values arcsin
Zdroj:	数理解析研究所講究録. 2222:11-23
ISSN:	1880-2818
Popis:	We generalize the proof of Basel problem by Boo Rim Choe (1987) to obtain two integral representations for Apéry constant. As applications, we also show integral representations for multiple values ζ(3, 2, ... , 2) and t(3, 2, ... , 2). This article is based on the author's talk "Two integral representations for Apery constant" for Analytic Number Theory and Related Topics, Kyoto RIMS ( online) on October 12, 2021. There are certain overlaps with [9].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=jairo_______::dd33a079b0a656ad226ee242ad0eaa89 http://hdl.handle.net/2433/277176 Zobrazit plný text záznamu