Determination of GL(3) Hecke-Maass forms from twisted central values

2014/01/30 by Ritabrata Munshi, Munshi, Ritabrata, Jyoti Sengupta +1 · 1 citation
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.1401.7907

Abstract

Suppose π₁ and π₂ are two Hecke-Maass cusp forms for SL(3,ℤ) such that for all primitive character χ we have L(\tfrac12,π₁⊗χ)=L(\tfrac12,π₂⊗χ). Then we show that π₁=π₂.

Citations

• Determination of modular forms by twists of critical L-values

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• Determination of elliptic curves by their adjoint p-adic L-functions

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