Twists and resonance of $L$-functions, I

Kaczorowski, Jerzy, and Perelli, Alberto. "Twists and resonance of $L$-functions, I." Journal of the European Mathematical Society 018.6 (2016): 1349-1389. <http://eudml.org/doc/277188>.

@article{Kaczorowski2016,
abstract = {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.},
author = {Kaczorowski, Jerzy, Perelli, Alberto},
journal = {Journal of the European Mathematical Society},
keywords = {$L$-functions; Selberg class; twists; resonance; -functions; Selberg class; twists; resonance},
language = {eng},
number = {6},
pages = {1349-1389},
publisher = {European Mathematical Society Publishing House},
title = {Twists and resonance of $L$-functions, I},
url = {http://eudml.org/doc/277188},
volume = {018},
year = {2016},
}

TY - JOUR
AU - Kaczorowski, Jerzy
AU - Perelli, Alberto
TI - Twists and resonance of $L$-functions, I
JO - Journal of the European Mathematical Society
PY - 2016
PB - European Mathematical Society Publishing House
VL - 018
IS - 6
SP - 1349
EP - 1389
AB - 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.
LA - eng
KW - $L$-functions; Selberg class; twists; resonance; -functions; Selberg class; twists; resonance
UR - http://eudml.org/doc/277188
ER -