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.File in questo prodotto:
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