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SUMMARY:Another approach to analytic number theory - Andrew Granville (Uni
 versity of Montreal)
DTSTART:20130625T130000Z
DTEND:20130625T140000Z
UID:TALK45792@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:Since Riemann’s 1859 monograph\, the study of the distributi
 on of prime numbers (and other arithmetic objects) has been dominated by t
 he study of the zeros of the Riemann zeta function and Dirichlet L-functio
 ns (and other\, higher dimensional\, L-functions). Although there have bee
 n ad hoc elementary proofs of some of the key results\, there has been no 
 coherent alternative approach to that of Riemann. In this talk we will mot
 ivate and outline a new and different way to develop analytic\nnumber theo
 ry\, without zeros\, stemming from the concept of “pretentiousness”. T
 his is jointly developed with K. Soundararajan\, and we will discuss furth
 er developments due to Dimitris Koukoulopoulos\, Adam Harper\, and several
  others.
LOCATION:CMS\, MR12
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