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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240213T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-114
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:ALEX COWAN\, HARVARD UNIVERSITY\n\n\"A TWISTED ADDITIVE DIVISOR
  PROBLEM\"\n\nWhat correlation is there between the number of divisors of 
 N and the\nnumber of divisors of N + 1? This is known as the classical add
 itive\ndivisor problem. This talk will be about a generalized form of this
 \nquestion: I’ll give asymptotics for a shifted convolution of\nsum-of-d
 ivisors functions with nonzero powers and twisted by Dirichlet\ncharacters
 . The spectral methods of automorphic forms used to prove\nthe main result
  are quite general\, and I’ll present a conceptual\noverview. One step o
 f the proof uses a less well-known technique\ncalled “automorphic regula
 rization” for obtaining the spectral\ndecomposition of a combination of 
 Eisenstein series which is not\nobviously square-integrable.\n\nMC 5417
DTSTAMP:20260506T161653Z
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