Internal Twists of L-Functions. II


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Abstract

A nonlinear twist F(s; f) of a function F(s) from the extended Selberg class S# is called internal if it belongs to S#. In a previous paper (2014) we showed that, inside a rather general class of nonlinear twists, the internal twists occur only in very special cases; moreover, we gave a first characterization of such twists. Here we complete our previous work by giving a fully detailed description of such internal twists.

About the authors

J. Kaczorowski

Faculty of Mathematics and Computer Science; Institute of Mathematics of the Polish Academy of Sciences

Author for correspondence.
Email: kjerzy@amu.edu.pl
Poland, ul. Umultowska 87, Poznań, 61-614; ul. Šniadeckich 8, Warsaw, 00-656

A. Perelli

Dipartimento di Matematica

Email: kjerzy@amu.edu.pl
Italy, via Dodecaneso 35, Genova, 16146

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