Number Theory Seminar

Speaker: Subhajit Jana (MPIM Bonn)

Title: The Weyl bound for triple product L-functions

Abstract: We prove the Weyl bound for the triple product L-functions of three unitary cuspidal representations for SL₂(Z), two of which are fixed and the remaining one has growing analytic conductor. We may also consider the varying representation to be an Eisenstein series to prove the t-aspect Weyl bound for the Rankin-Selberg L-functions. These results improve upon previous famous work of Bernstein-Reznikov. This is a joint work with Valentin Blomer and Paul Nelson.

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