Philadelphia Area Number Theory Seminar

Wednesday, February 19, 2020 - 2:15pm

Ian Whitehead

Swarthmore College

I will present a smoothed asymptotic formula for the third moment of Dirichlet L-functions associated to real characters. Beyond the main term, which was known, the formula has an unexpected secondary term of size X3/4 and an error of size X2/3. I will give background on the multiple Dirichlet series techniques that motivated this result. And I will describe the new ideas about local and global multiple Dirichlet series that made the final, sieving step in the proof possible. This is joint work with Adrian Diaconu.