Twists and resonance of L-functions, I

J. Kaczorowski; A. Perelli

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arXiv · 1304.4734

Twists and resonance of L-functions, I

J. Kaczorowski·A. Perelli

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Abstract

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 $\leq 1/d$ of the L-functions of any degree $d \geq 1$ in the extended Selberg class. In particular, this solves the resonance problem in all such cases.

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J. Kaczorowski, A. Perelli. 2013-04-17. Twists and resonance of L-functions, I. https://arxiv.org/abs/1304.4734

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