We prove the analytic continuation of certain linear twists of L-functions of degree 2 in the Selberg class. This extends a theorem by S.Voronin on linear twists of the L-functions associated with modular forms of level 1. The proofs are quite different. Indeed, Voronin used modularity, while we use a transformation formula for linear twists of L-functions in the Selberg class.

Linear twists of L-functions of degree 2 from the Selberg class

PERELLI, ALBERTO
2010-01-01

Abstract

We prove the analytic continuation of certain linear twists of L-functions of degree 2 in the Selberg class. This extends a theorem by S.Voronin on linear twists of the L-functions associated with modular forms of level 1. The proofs are quite different. Indeed, Voronin used modularity, while we use a transformation formula for linear twists of L-functions in the Selberg class.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/224850
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