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Weil's converse theorem with poles
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Weil's converse theorem with poles

Ar Booker and M Krishnamurthy
International mathematics research notices, Vol.2014(19), pp.Booker , AR & Krishnamurthy , M 2013 , ' Weil's converse theorem with poles ' , International Mathematics Research Notices , vol. 2014 , no. 19 , pp. 5328–5339 . https://doi.org/10.1093/imrn/rnt127-Booker , AR & Krishnamurthy , M 2013 , ' Weil's converse theorem with poles ' , International Mathematics Research Notices , vol. 2014 , no. 19 , pp. 5328–5339 . https://doi.org/10.1093/imrn/rnt127
01/01/2013
DOI: 10.1093/imrn/rnt127
url
https://doi.org/10.1093/imrn/rnt127View
Published (Version of record) Open Access

Abstract

We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles. We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.

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