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SUMMARY:Spectral Theory of the Riemann Zeta function - 3
DTSTART:20240320T104500Z
DTEND:20240320T114500Z
DTSTAMP:20260716T192500Z
UID:indico-event-745@events.gwdg.de
DESCRIPTION:Speakers: Lasse Grimmelt\n\nIn 1994 Motohashi proved in his gr
 ound-breaking work that the fourth moment of Riemann's Zeta function admit
 s an interpretation as a third central moment of L functions summed over a
  basis of Maaß-cusp as well as holomorphic modular forms. The original pr
 oof uses sums of Kloosterman sums and the spectral interpretation arises v
 ia Kuznetsov's formula. In 2007\, Bruggeman and Motohashi gave a much more
  direct proof that completely dispenses with Kloosterman sums. In this ser
 ies of talks we will outline this new approach and obtain an intuitive und
 erstanding of why one should expect Motohashi's spectral expansion to have
  the shape it has.\n\nhttps://events.gwdg.de/event/745/
LOCATION:Sitzungszimmer (MI)
URL:https://events.gwdg.de/event/745/
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