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arXiv · 1903.09638

A new subconvex bound for $\rm GL(3)$ $L$-functions in the $t$-aspect

Keshav Aggarwal
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Abstract

We revisit Munshi's proof of the $t$-aspect subconvex bound for $\rm GL(3)$ $L$-functions, and we are able to remove the `conductor lowering' trick. This simplification along with a more careful stationary phase analysis allows us to improve Munshi's bound to, $$ L(1/2+it, π) \ll_{π, ε} (1+|t|)^{3/4-3/40+ε}. $$

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Keshav Aggarwal. 2020-01-29. A new subconvex bound for $\rm GL(3)$ $L$-functions in the $t$-aspect. https://arxiv.org/abs/1903.09638

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