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Subjects
11-XX Number theory
11Mxx Zeta and $L$ -functions: analytic theory
11M41 Other Dirichlet series and zeta functions

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Twists and resonance of $L$ -functions, I

Jerzy Kaczorowski, Alberto Perelli (2016)

Journal of the European Mathematical Society

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 $\leq 1 / d$ of the $L$ -functions of any degree $d \geq 1$ in the extended Selberg class. In particular, this solves the resonance problem in all such cases.

Two-variable zeta functions and regularized products.

Deninger, Christopher (2003)

Documenta Mathematica

Currently displaying 21 – 22 of 22

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