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SUMMARY:Valentin Blomer (Universität Bonn)
DTSTART:20210210T171500Z
DTEND:20210210T181500Z
DTSTAMP:20260423T022812Z
UID:IML_NT/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IML_NT/3/">U
 niform Titchmarsh divisor problems</a>\nby Valentin Blomer (Universität B
 onn) as part of IML Number Theory semester (spring 2021)\n\n\nAbstract\nTh
 e classical Titchmarsh divisor problem asks for the asymptotic\nevaluation
  of the divisor function over shifted primes. It is\nintimately related wi
 th primes in long arithmetic progressions. Modern\nmethods can produce str
 ong error terms for fixed shifts\, but no\nprogress since the 1960s has be
 en made on the dual problem of summing\nd(n-p) for p < n or the related pr
 oblem of Hooley and Linnik of\nrepresenting a number a sum of a prime and 
 two squares. I will survey\napproaches and techniques towards the Titchmar
 sh divisor problem and\nits variations\, and present new results obtained 
 in joint work with\nEdgar Assing and Junxian Li. The methods involve a ble
 nd of classical\nanalytic number theory\, automorphic forms and algebraic 
 geometry.\n
LOCATION:https://researchseminars.org/talk/IML_NT/3/
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