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arXiv · 1709.05615

Subconvexity for symmetric square $L$-functions

Ritabrata Munshi
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Abstract

Let $f$ be a holomorphic modular form of prime level $p$ and trivial nebentypus. We show that there exists a computable $\delta>0$, such that $$ L\left(\tfrac{1}{2},\mathrm{Sym}^2 f\right)\ll p^{\tfrac{1}{2}-\delta}, $$ with the implied constant depending only on $\delta$ and the weight of $f$.

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Ritabrata Munshi. 2017-09-17. Subconvexity for symmetric square $L$-functions. https://arxiv.org/abs/1709.05615

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