Number Theory Seminar

Speaker: Gilles Felber (Bonn)

Title: A restriction norm problem for Siegel modular forms

Abstract: Restriction norms are tools to measure equidistribution of functions such as eigenvalues of the Laplacian. In an arithmetic setting, this can often be expressed in terms of values of L-functions via the Ichino-Ikeda formulae. We will consider the particular case of a Siegel modular form restricted to the imaginary axis. The Dirichlet series appearing in this problem has no Euler product and therefore does not belong to the Selberg class. Nevertheless, we establish a result on average consistent with the Mass Equidistribution Conjecture and the Lindelöf Hypothesis for such forms and Dirichlet series.

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