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Subconvexity bounds for GL(3)×GL(2) L-functions in GL(2) spectral aspect
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Subconvexity bounds for GL(3)×GL(2) L-functions in GL(2) spectral aspect
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Journal Article
Subconvexity bounds for GL(3)×GL(2) L-functions in GL(2) spectral aspect
2025
Overview
Let π be a Hecke–Maass cusp form for SL(3,Z) and f be a holomorphic cusp form for SL(2,Z) of weight k or a Hecke–Maass cusp form corresponding to the Laplacian eigenvalue 1/4+k2, k≥1, for SL(2,Z). In this paper, we prove the following subconvexity bound:L(1/2,π×f)≪π,εk3/2−1/51+ε.
Publisher
European Mathematical Society (EMS)
Subject
