Approximate Converse Theorem

Min Lee

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arXiv · 1203.6328

Approximate Converse Theorem

Min Lee

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Abstract

We present an approximate converse theorem which measures how close a given set of irreducible admissible unramified unitary generic local representations of GL(n) is to a genuine cuspidal representation. To get a formula for the measure, we introduce a quasi-Maass form on the generalized upper half plane for a given set of local representations. We also construct an annihilating operator which enables us to write down an explicit cuspidal automorphic function.

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Min Lee. 2012-03-28. Approximate Converse Theorem. https://arxiv.org/abs/1203.6328

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