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Twists and resonance of L -functions, I

Jerzy KaczorowskiAlberto Perelli — 2016

Journal of the European Mathematical Society

We obtain the basic analytic properties, i.e. meromorphic continuation, polar structure and bounds for the order of growth, of all the nonlinear twists with exponents 1 / d of the L -functions of any degree d 1 in the extended Selberg class. In particular, this solves the resonance problem in all such cases.

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