Geodesic
Internal twists of $L$-functions. II
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic number theory, Tome 299 (2017), pp. 127-143

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A nonlinear twist $F(s;f)$ of a function $F(s)$ from the extended Selberg class $\mathcal S^\sharp $ is called internal if it belongs to $\mathcal S^\sharp $. 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.
Keywords: $L$-functions, Selberg class, twists. 
@article{TM_2017_299_a7,
     author = {J. Kaczorowski and A. Perelli},
     title = {Internal twists of $L$-functions. {II}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {127--143},
     publisher = {mathdoc},
     volume = {299},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_299_a7/}
}
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J. Kaczorowski; A. Perelli. Internal twists of $L$-functions. II. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic number theory, Tome 299 (2017), pp. 127-143. http://geodesic.mathdoc.fr/item/TM_2017_299_a7/