Recent results on Laurent-Stieltjes constants
Sumaia Saad Eddin (JKU Linz)
Abstract: Let $f$ be an arithmetic function and let $\mathcal{S}^\#$ denote the extended Selberg class. We denote by $$\mathcal{L}(s) = \sum_{n = 1}^{\infty}\frac{f(n)}{n^s}$$ the Dirichlet series attached to $f$. The Laurent-Stieltjes constants of $\mathcal{L}(s)$ which belongs to $\mathcal{S}^\#$, are the coefficients of the Laurent expansion of $\mathcal{L}$ at its pole $s=1$. In this talk, we briefly survey the recent results on these constants including our new result, which is a generalization of many known results. This is joint work with Sh\={o}ta Inoue (Nagoya University) and Ade Irma Suriajaya (Kyushu University).
number theory
Audience: researchers in the topic
Japan Europe Number Theory Exchange Seminar
Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.
Start for Fall 2021: 26th October
Organizers: | Henrik Bachmann*, Nils Matthes |
*contact for this listing |