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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

9 votes
Accepted

On local Rankin-Selberg L-functions for Steinberg representations

I apologize for answering my own question, but I think that the answer might be of some interest to others. Since I was getting no answers I asked Professor Jacquet directly today. He explained that …
Luis Garcia's user avatar
9 votes
1 answer
732 views

On local Rankin-Selberg L-functions for Steinberg representations

This is a basic question concerning the local Langlands correspondence for $GL_2(\mathbb{Q}_p)$, in particular the compatibility with tensor products . I apologize if this is too basic but I hope some …
Luis Garcia's user avatar
4 votes
Accepted

Characterizing the real analytic Eisenstein series

For $Re(s)>1$, the function $E(z,s)$ is smooth on $\mathbb{H}$ and satisfies $(2)$, $(3)$ and $$ (*) \ E(z,s)-\xi(2s) \cdot y^s=O(y^{1-s}) \ \text { as } y \rightarrow +\infty. $$ (Here $\xi(s)=\pi^{- …
Luis Garcia's user avatar