Titlebook: L-Functions and Automorphic Forms; LAF, Heidelberg, Feb Jan Hendrik Bruinier,Winfried Kohnen Conference proceedings 2017 Springer Internati

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Elementary Introduction to ,-Adic Siegel Modular Forms,of Serre’s presentation (J.-P. Serre, Formes modulaires et fonctions zeta .-adiques. In: Modular Functions of One Variable III. Lecture Notes in Mathematics, vol. 350. Springer, New York, 1973) of the case .(2).

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On the Triple Product Formula: Real Local Calculations,a of Michel-Venkatesh explicit values for local trilinear forms are computed for these vectors. Using this we determine the real archimedean local factors in Ichino’s formula for the triple product .-function. Applications both new and old to subconvexity, quantum chaos and .-adic modular forms are discussed.

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