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DTSTART:20230312T070000
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DTSTART;TZID=America/Toronto:20240206T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-113
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:**CANCELLED**\n\nALEX COWEN\, HARVARD UNIVERSITY\n\n\"A TWISTED
  ADDITIVE DIVISOR PROBLEM\"\n\nWhat correlation is there between the numbe
 r of divisors of N and the\nnumber of divisors of N+1? This is known as th
 e classical additive\ndivisor problem. This talk will be about a generaliz
 ed form of this\nquestion: I'll give asymptotics for a shifted convolution
  of\nsum-of-divisors functions with nonzero powers and twisted by Dirichle
 t\ncharacters. The spectral methods of automorphic forms used to prove\nth
 e main result are quite general\, and I'll present a conceptual\noverview.
  One step of the proof uses a less well-known technique\ncalled \"automorp
 hic regularization\" for obtaining the spectral\ndecomposition of a combin
 ation of Eisenstein series which is not\nobviously square-integrable.\n\nM
 C 5417
DTSTAMP:20260505T133050Z
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