This question deals with the gamma factor of a primitive function of the Selberg class. Writing the functional equation of such a function $F$ as $\Phi(s)=\overline{\Phi(\overline{ …

Assuming Selberg's orthonormality conjecture and following http://mathoverflow.net/questions/50581/automorphisms-of-the-selberg-class, I define automorphisms of the Selberg class $ …

Let $(F_n)_{n>0}$ be an enumeration of the primitive elements of the Selberg class. Let $F_i$ and $F_j$ be such primitive L-functions. What is known about the group $G(i,j)$ of per …

Around one month ago, I posted on math.stackexchange a draft I wrote in which I define the notion of Galois class of L-functions: see http://math.stackexchange.com/questions/280876 …

The question is in the title: Selberg's orthonormality conjecture has been proved in a more precise form for automorphic L functions under the Generalized Ramanujan Conjecture, so …