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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250923T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-148
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:CHANTAL DAVID\, CONCORDIA UNIVERSITY\n\n_Non vanishing for cubi
 c Hecke L-functions_\n\nI will discuss recent work with Alexander Dunn\, A
 lexandre de Faveri\nand Joshua Stucky\, in which we prove that a positive 
 proportion of\nHecke L-functions associated to the cubic residue symbol mo
 dulo\nsquarefree Eisenstein integers do not vanish at the central point. O
 ur\nprincipal new contribution is the asymptotic evaluation of the\nmollif
 ied second moment with power saving error term. No such\nasymptotic formul
 a was previously known for a cubic family (even over\nfunction elds). Our 
 new approach makes crucial use of Pattersons\nevaluation of the Fourier co
 efficients of the cubic metaplectic theta\nfunction\, Heath-Browns cubic l
 arge sieve\, and a Lindelof-on-average\nupper bound for the second moment 
 of cubic Dirichlet series that we\nestablish.\n\nMC 5417
DTSTAMP:20260407T211615Z
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