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arXiv · 1606.06923

Near Counterexamples to Weil's Converse Theorem

Raphael S. Steiner
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Abstract

We show that in Weil's converse theorem the functional equations of multiplicative twists for at least the first $\sqrt{\frac{p-24}{3}}$ moduli are needed in order to prove the modularity for $Γ_0(p)$.

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Raphael S. Steiner. 2017-01-23. Near Counterexamples to Weil's Converse Theorem. https://doi.org/10.5802/jtnb.1082

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