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SUMMARY:Alexander Walker (University College London)
DTSTART:20220112T140000Z
DTEND:20220112T153000Z
DTSTAMP:20260423T024558Z
UID:LANTSG/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LANTSG/1/">T
 he Bombieri-Vinogradov Theorem</a>\nby Alexander Walker (University Colleg
 e London) as part of London ANT Study Group\n\n\nAbstract\nThe Siegel-Walf
 isz theorem gives a main term and error for the number of primes up to $X$
  in a given congruence class.  The error term is weak\, but improves if on
 e assumes the generalized Riemann hypothesis (GRH).  If we average over a 
 range of moduli $q \\leq Q$\, we can improve the Siegel-Walfisz error term
  to roughly match what one expects from GRH. This major result is the Bomb
 ieri-Vinogradov theorem. In this talk\, we introduce the Bombieri-Vinograd
 ov theorem and explain how it derives from the large sieve.  This is the f
 irst lecture in our series on Maynard's recent papers extending the Bombie
 ri-Vinogradov theorem to moduli $q > \\sqrt{X}$ (under certain assumptions
  on $q$).\n
LOCATION:https://researchseminars.org/talk/LANTSG/1/
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