p-Adic and analytic properties of period integrals and values of L-functions

Michael Harris

Type: Article

Publication Date: 2016-02-17

Citations: 2

DOI: https://doi.org/10.1007/s40316-016-0057-7

Abstract

The Ichino-Ikeda conjecture is an identity that relates a ratio of special values of automorphic L-functions to a ratio of period integrals. Both sides of this identity are expected to satisfy certain equidistribution properties when the data vary, and indeed it has been possible to transfer such properties from one side of the identity to the other in cases where the identity is known. The present article studies parallels between complex-analytic and p-adic equidistribution properties and relates the latter to questions about Galois cohomology.

Locations

Annales mathématiques du Québec - View - PDF

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+	L-functions and periods of polarized regular motives.	1997	Michael Harris
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+	Upper and lower bounds at s=1 for certain Dirichlet series with Euler product	2002	Giuseppe Molteni
+ PDF Chat	Sparse equidistribution problems, period bounds and subconvexity	2010	Akshay Venkatesh
+ PDF Chat	POWER SERIES EXPANSIONS OF MODULAR FORMS AND THEIR INTERPOLATION PROPERTIES	2011	Andrea Mori