Twists and resonance of -functions, I

  • Jerzy Kaczorowski

    Adam Mickiewicz University, Poznan, Poland
  • Alberto Perelli

    Università di Genova, Italy

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 of the -functions of any degree in the extended Selberg class. In particular, this solves the resonance problem in all such cases.

Cite this article

Jerzy Kaczorowski, Alberto Perelli, Twists and resonance of -functions, I. J. Eur. Math. Soc. 18 (2016), no. 6, pp. 1349–1389

DOI 10.4171/JEMS/616