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The Selberg class of L-functions: non-linear twists

Presented by: 
A Perelli [Genova]
Date: 
Friday 16th July 2004 - 17:00 to 17:30
Venue: 
INI Seminar Room 1
Session Title: 
Matrix Ensembles and L-Functions
Abstract: 

In a paper published in 1992, Selberg introduced an axiomatic class of L-functions (now called the Selberg class S) and raised several very interesting problems. In particular, Selberg raised the problem of classifying the L-functions in S. In this talk we first review the results on the classification problem. Such results depend on the analytic properties of the linear twists of the L-functions. Then we introduce certain non-linear twists and present some recent work (joint with J.Kaczorowski) on their analytic properties and applications.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons