### Yet another subconvexity talk

Linfoot Number Theory Seminar

22nd May 2019, 11:00 am – 12:00 pm

Howard House, 4th Floor Seminar Room

We will prove strong upper bounds for sums of twisted Hecke eigenvalues and establish asymptotic orthogonality between Hecke eigenvalues and highly ramified l-adic twists. This has applications to subconvexity of L-functions in the depth aspect, which we discuss if time permits.

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