Theoretical Statistics and Mathematics Unit, ISI Delhi

November 29, 2017 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Sary Drappeau,
University of Marseilles, France

Title:
Kloosterman sums over primes and Siegel zeros

Abstract of Talk

Siegel zeroes are sporadic, supposedly inexistant, zeroes of Dirichlet L
functions. Current methods seem ineffective in proving there to be none; on
the other hand, were we to suppose that they did exist, a number of
classical problems about primes would become tractable. This talk will be
about joint work with J. Maynard where we study the effect of such zeroes
on sums of Kloosterman sums over primes : \sum_{p\leq x} Kl(1, p).