Geodesic
Twists and resonance of $L$-functions, I
Journal of the European Mathematical Society, Tome 18 (2016) no. 6, pp. 1349-1389
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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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     author = {Jerzy Kaczorowski and Alberto Perelli},
     title = {Twists and resonance of $L$-functions, {I}},
     journal = {Journal of the European Mathematical Society},
     pages = {1349--1389},
     year = {2016},
     volume = {18},
     number = {6},
     doi = {10.4171/jems/616},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/616/}
}
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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

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