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Session 1. Analytic Number Theory
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A converse theorem for degree 2 L-functions |
Alberto Perelli, Università degli Studi di Genova, Italy
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The talk is based on the joint work with Jerzy Kaczorowski
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I'll present the following converse theorem. If a degree 2
\(L\)-function \(F(s)\) has conductor 1, an Euler product expansion
and a pole at \(s=1\), then \(F(s)\) is the square of the Riemann
zeta function. This requires the study of certain properties of the
linear twists of degree 2 \(L\)-functions.
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