Department of

Mathematics


Seminar Calendar
for number theory events the week of Wednesday, February 19, 2020.

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     January 2020          February 2020            March 2020     
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           1  2  3  4                      1    1  2  3  4  5  6  7
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Thursday, February 20, 2020

11:00 am in 241 Altgeld Hall,Thursday, February 20, 2020

The Third Moment of Quadratic L-Functions

Ian Whitehead (Swarthmore College)

Abstract: 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 $X^{3/4}$ and an error of size $X^{2/3}$. 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.