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arXiv · 1801.07611

Subconvexity for L-functions of non-spherical cusp forms on GL(3)

Valentin Blomer·Jack Buttcane
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Abstract

Let f be a cusp form for SL(3, Z) associated with a generalized principal series representation of minimal weight d, spectral parameter r and associated L-function L(s, f). For $r \asymp d \asymp T$ the subconvexity bound $L(1/2, f) \ll T^{3/4 - 1/140000}$ is proved.

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BibTeXRIS

Valentin Blomer, Jack Buttcane. 2018-01-23. Subconvexity for L-functions of non-spherical cusp forms on GL(3). https://arxiv.org/abs/1801.07611

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