A nonlinear twist $F(s;f)$ of a function $F(s)$ from the extended Selberg class $S^sharp$ is called {it internal} if it belongs to $S^sharp$. In a previous paper cite{Ka-Pe/2014a} 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.
Internal twists of L-functions, II
PERELLI, ALBERTO
2017-01-01
Abstract
A nonlinear twist $F(s;f)$ of a function $F(s)$ from the extended Selberg class $S^sharp$ is called {it internal} if it belongs to $S^sharp$. In a previous paper cite{Ka-Pe/2014a} 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.
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