Simple zeros of automorphic L-functions

Andrew Booker; Peter Cho; Myoungil Kim

doi:10.1112/S0010437X19007279

Simple zeros of automorphic L-functions

Andrew Booker, Peter Cho, Myoungil Kim

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We prove that the complete L-function associated to any cuspidal automorphic representation of GL₂(A_q) has infinitely many simple zeros.

Original language	English
Pages (from-to)	1224-1243
Number of pages	20
Journal	Compositio Mathematica
Volume	155
Issue number	6
Early online date	30 May 2019
DOIs	https://doi.org/10.1112/S0010437X19007279
Publication status	Published - Jun 2019

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://www.cambridge.org/core/journals/compositio-mathematica/article/simple-zeros-of-automorphic-l-functions/A379A22A16D45FE607459ACB59F85F87 . Please refer to any applicable terms of use of the publisher.
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Professor Andrew R Booker
- Andrew.Bookerbristol.acuk
- School of Mathematics - Professor of Pure Mathematics
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title = "Simple zeros of automorphic L-functions",

abstract = "We prove that the complete L-function associated to any cuspidal automorphic representation of GL2(Aq) has infinitely many simple zeros.",

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Simple zeros of automorphic L-functions

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