Geodesic
Twists and resonance of $L$-functions, I
Journal of the European Mathematical Society, Tome 18 (2016) no. 6, pp. 1349-1389.

Voir la notice de l'article provenant de la source EMS Press

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 ≤1/d of the L-functions of any degree d≥1 in the extended Selberg class. In particular, this solves the resonance problem in all such cases.
DOI : 10.4171/jems/616
Classification : 11-XX, 00-XX
Keywords: L-functions, Selberg class, twists, resonance 
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     title = {Twists and resonance of $L$-functions, {I}},
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Jerzy Kaczorowski; Alberto Perelli. Twists and resonance of $L$-functions, I. Journal of the European Mathematical Society, Tome 18 (2016) no. 6, pp. 1349-1389. doi : 10.4171/jems/616. http://geodesic.mathdoc.fr/articles/10.4171/jems/616/

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