Twists and resonance of L-functions, I

J. Kaczorowski; A. Perelli

Twists and resonance of L-functions, I

Number Theory 2016-06-14 v1

Authors: J. Kaczorowski , A. Perelli

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.

Keywords

L-functions Selberg class nonlinear twists meromorphic continuation resonance problem analytic properties

Cite

@article{arxiv.1304.4734,
  title  = {Twists and resonance of L-functions, I},
  author = {J. Kaczorowski and A. Perelli},
  journal= {arXiv preprint arXiv:1304.4734},
  year   = {2016}
}

Comments

34 pages

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