Bounds of double zeta-functions and their applications

dc.contributor.author	BANERJEE, DEBIKA	en_US
dc.contributor.author	Minamide, T. Makoto	en_US
dc.contributor.author	Tanigawa, Yoshio	en_US
dc.date.accessioned	2021-03-02T05:58:15Z
dc.date.available	2021-03-02T05:58:15Z
dc.date.issued	2020-01	en_US
dc.identifier.citation	Pacific Journal of Mathematics, 304(1), 15-41.	en_US
dc.identifier.issn	0030-8730	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5690
dc.identifier.uri	https://doi.org/10.2140/pjm.2020.304.15	en_US
dc.description.abstract	In this paper, we shall improve the bounds on Euler–Zagier type double zeta-functions in the region 0<Res j<1(j=1,2) which provides a positive answer to a conjecture posed by Kiuchi and Tanigawa (2006). As an application, we improve the error term that appears in the asymptotic formula for the moment of the double zeta-function.	en_US
dc.language.iso	en	en_US
dc.publisher	Pacific Journal of Mathematics	en_US
dc.subject	Double zeta-function	en_US
dc.subject	Perron's formula	en_US
dc.subject	Upper bound	en_US
dc.subject	Mean square theorem	en_US
dc.subject	2020	en_US
dc.title	Bounds of double zeta-functions and their applications	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Pacific Journal of Mathematics	en_US
dc.publication.originofpublisher	Foreign	en_US