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SUMMARY:Sumaia Saad Eddin (JKU Linz)
DTSTART:20201201T084000Z
DTEND:20201201T091000Z
DTSTAMP:20260423T010922Z
UID:JENTE/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/16/">R
 ecent results on Laurent-Stieltjes constants</a>\nby Sumaia Saad Eddin (JK
 U Linz) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstra
 ct\nLet $f$ be an arithmetic function and let $\\mathcal{S}^\\#$ denote th
 e 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 Laur
 ent-Stieltjes constants of $\\mathcal{L}(s)$ which belongs to $\\mathcal{S
 }^\\#$\, are the coefficients of the Laurent expansion of $\\mathcal{L}$ a
 t its pole $s=1$. In this talk\, we briefly survey the recent results on t
 hese constants including our new result\, which is a generalization of man
 y known results.\nThis is joint work with Sh\\={o}ta Inoue (Nagoya Univers
 ity) and Ade Irma Suriajaya (Kyushu University).\n
LOCATION:https://researchseminars.org/talk/JENTE/16/
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