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UID:20250701T232804EDT-8371AmPi5m@132.216.98.100
DTSTAMP:20250702T032804Z
DESCRIPTION:Title: A new approach to zero-free regions.\n\nAbstract: The me
 thod of de la Vallée Poussin establishes the classical zero-free region fo
 r the Riemann zeta function. It has been generalized to establish zero-fre
 e regions for all automorphic L-functions\, as well as many GL(m)xGL(n) Ra
 nkin-Selberg L-functions. However\, for a typical Rankin-Selberg L-functio
 n\, we do not yet know how to execute the method of de la Vallée Poussin\,
  and only very weak (but still nontrivial) zero-free regions are available
 . I will talk about a new method for establishing zero-free regions for L-
 functions. This new method leads to the strongest t-aspect zero-free regio
 n for general GL(m)xGL(n) Rankin-Selberg L-functions\, considerably improv
 ing on earlier work. This leads to a substantial improvement in the error 
 term in the prime number theorem for such L-functions. I will describe ong
 oing work with Gergely Harcos.The method of de la Vallée Poussin establish
 es the classical zero-free region for the Riemann zeta function. It has be
 en generalized to establish zero-free regions for all automorphic L-functi
 ons\, as well as many GL(m)xGL(n) Rankin-Selberg L-functions. However\, fo
 r a typical Rankin-Selberg L-function\, we do not yet know how to execute 
 the method of de la Vallée Poussin\, and only very weak (but still nontriv
 ial) zero-free regions are available. I will talk about a new method for e
 stablishing zero-free regions for L-functions. This new method leads to th
 e strongest t-aspect zero-free region for general GL(m)xGL(n) Rankin-Selbe
 rg L-functions\, considerably improving on earlier work. This leads to a s
 ubstantial improvement in the error term in the prime number theorem for s
 uch L-functions. I will describe ongoing work with Gergely Harcos.\n\nVenu
 e: Concordia University\, Library Building\, 9th floor\, room LB 921-4\n
DTSTART:20230309T193000Z
DTEND:20230309T203000Z
SUMMARY:Jesse Thorner (UIUC)
URL:/mathstat/channels/event/jesse-thorner-uiuc-346601
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