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arXiv:1703.01834 [math.NT]AbstractReferencesReviewsResources

A converse theorem without root numbers

Andrew R. Booker

Published 2017-03-06Version 1

We answer a challenge posed in (Math. Ann. 363 (2015), no. 1-2, 423-454) by proving a version of Weil's converse theorem that assumes a functional equation for character twists but allows their root numbers to vary arbitrarily.

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