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Questions about generalizations of the Riemann Zeta function of arithmetic interest whose definition relies on meromorphic continuation of special kinds of Dirichlet series, such as Dirichlet L-functions, Artin L-functions, elements of the Selberg class, automorphic L-functions, Shimizu L-functions, p-adic L-functions, etc.

5 votes
0 answers
516 views

Non-vanishing of twists of L functions for GL(4)

Hello, This is a question in the spirit of Nonvanishing of central L-values of quadratic twists? and the application I have in mind is to p-adic L-functions a la Ash-Ginzburg. The question is thi …
Ramin's user avatar
  • 1,362
9 votes

Definition of L-function attached to automorphic representation

This question was posted a while back but I just saw it. Here are some thoughts. In practice there are a couple of methods to construct L functions for local ramified representations. The first one is …
Ramin's user avatar
  • 1,362