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Results tagged with automorphic-forms
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user 50886
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.
9
votes
What is the Twisted Trace Formula?
For simplicity assume that $G$ is a reductive $\mathbb{Q}$-group that is anisotropic.
Assume that it admits an automorphism $\theta$.
Let $f \in C_c^\infty(G(\mathbb{A}))$.
One has the usual kernel …
- 412
8
votes
2
answers
464
views
Regularity assumption in the simple trace formula
In the simple trace formula of Deligne Kazhdan one assumes that the test function is supported at the elliptic regular elements at one place and is a supercusp form at another place. Why can't one ju …
- 412
5
votes
What is the relation of the Kuznetsov-Bruggeman trace formula and the Selberg trace formula?
The important point is that the Selberg trace formula includes the contribution of the one-dimensional representations, i.e. the nongeneric spectrum, whereas the Kuznetsov formula does not. Spectrall …
- 412