Twists and resonance of L-functions, II

Authors :: Kaczorowski, J.
Perelli, A.
Source :: Int. Math. Res. Notices (2016), 7637-7670
Publication Year :: 2015
Abstract: We continue our investigations of the analytic properties of nonlinear twists of L-functions developed in [4],[5] and [7]. Given an L-function of degree d, we first extend the transformation formula in [5], relating a twist with leading exponent > 1/d to its dual twist. Then we combine the results in [7] with such a transformation formula to obtain the analytic properties of new classes of nonlinear twists. This allows to detect several new cases of resonance of the classical L-functions.<br />Comment: 19 pages