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Questions about Selberg class and the related conjectures such as the analogue of Riemann Hypothesis, Selberg's orthonormality conjecture, degree conjecture, general converse conjecture that says the Selberg class exactly consists of automorphic L-functions, etc.

6 votes

Selberg class definition and Riemann hypothesis

If such an $L$-function with gamma factors whose constants have negative real parts exists, then it will have at most finitely many zeros inside the critical region because of the poles of these gamma …
Joaquin Agatiello's user avatar