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Theoretical issues and applications of the Selberg, Arthur and relative trace formulas
17
votes
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Using the Eichler-Selberg Trace formula to compute class numbers?
Generally speaking, formulas like the trace formula admit an uncertainty principle: To obtain an identity where one side is highly concentrated (e.g. a sum over a small number of class numbers, or eve …
16
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Accepted
What is the matter with Hecke operators?
If $K$ is a local field and $\mathcal O$ is its ring of integers, we say an irreducible representation of $G(K)$ is unramified if it contains a vector invariant under $G(\mathcal O)$. It is known that …