BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Determining Hilbert modular forms by the central values of Rankin-Selberg convolutions Hamieh, Alia


In this talk, we show that the central values of the Rankin-Selberg convolutions, \(L(g\otimes f, s)\), uniquely determine an adelic Hilbert modular form \(g\); here \(f\) varies in a carefully chosen infinite family of adelic Hilbert modular forms. We prove our results in both the level and weight aspects. This is joint work with Naomi Tanabe.

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