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SUMMARY:Masanobu Kaneko (Kyushu University)
DTSTART:20201013T080000Z
DTEND:20201013T083000Z
DTSTAMP:20260423T010808Z
UID:JENTE/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/1/">A 
 new approach to Kawashima's relation for multiple zeta values</a>\nby Masa
 nobu Kaneko (Kyushu University) as part of Japan Europe Number Theory Exch
 ange Seminar\n\n\nAbstract\nKawashima's relation is conjecturally one of t
 he largest classes of relations among multiple zeta values. In his highly 
 original work\, Gaku Kawashima introduced and studied a certain Newton ser
 ies\, which we call the Kawashima function\, and deduced his relation by e
 stablishing several properties of this function.\nIn this talk\, we will d
 escribe a new approach to the Kawashima function without using Newton seri
 es. We first establish a generalization of the theory of regularizations o
 f divergent multiple zeta values for a Hurwitz type multiple zeta values\,
  and then relate it to the Kawashima function. Via this connection\, we ca
 n prove a key property of the Kawashima function to establish Kawashima's 
 relation.\nThis is a joint work with Ce Xu and Shuji Yamamoto\n
LOCATION:https://researchseminars.org/talk/JENTE/1/
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