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Results tagged with automorphic-forms
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user 8857
An automorphic form is a well-behaved function from a topological group $G$ to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup $\Gamma \subset G$ of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
2
votes
a question about the proof of analytic continuation of Eisenstein series for GL(2)
I will post it as an answer because it's a bit long, although just technical.
We're looking at the Taylor series -
$$ \sum_{n} \frac{1}{n!}E^{Y}_{n}(z,s_0)(s-s_0)^{n} $$
notice that the capital $Y$ …
- 2,459
4
votes
Accepted
Looking for concise books on automorphic L-functions, Eisenstein series on adelic homogeneou...
This is not exactly what you've asked for, but I'll address this article directly, because it is not related to automorphic L-functions "directly" but more to homogeneous dynamics.
You can actually re …
- 2,459
2
votes
Decay of matrix coefficients of non-tempered representation
There is some confusion here, as literally the construction of complementary series in $SL_{2}$ will give you unitary representations with arbitrary slow decay.
For any homogeneous space $G/\Gamma$, t …
- 2,459