Please use this identifier to cite or link to this item:
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5690| Title: | Bounds of double zeta-functions and their applications |
| Authors: | BANERJEE, DEBIKA Minamide, T. Makoto Tanigawa, Yoshio Dept. of Mathematics |
| Keywords: | Double zeta-function Perron's formula Upper bound Mean square theorem 2020 |
| Issue Date: | Jan-2020 |
| Publisher: | Pacific Journal of Mathematics |
| Citation: | Pacific Journal of Mathematics, 304(1), 15-41. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5690 https://doi.org/10.2140/pjm.2020.304.15 |
| ISSN: | 0030-8730 |
| Appears in Collections: | JOURNAL ARTICLES |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.