The Third Moment of Quadratic L-Functions

Ian Whitehead (Swarthmore College)

Wednesday 3rd May, 2023 16:00-17:00 Maths 311B


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 and their connection to moments. If time permits, 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.

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