Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect

Mohd Harun; Sumit Kumar; Saurabh Kumar Singh

Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect

Number Theory 2024-06-11 v2

Authors: Mohd Harun , Sumit Kumar , Saurabh Kumar Singh

Abstract

\begin{abstract} In this article, we will get non-trivial estimates for the central values of degree six Rankin-Selberg $L$ -functions $L(1/2+it, \pi \times f)$ associated with a ${GL(3)}$ form $\pi$ and a ${GL(2)}$ form $f$ using the delta symbol approach in the hybrid settings i.e. in the level of ${GL(2)}$ form and $t$ -aspect. \end{abstract}

Keywords

subconvexity bound Rankin-Selberg L-functions GL(3) x GL(2) delta symbol approach central values

Cite

@article{arxiv.2306.00775,
  title  = {Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect},
  author = {Mohd Harun and Sumit Kumar and Saurabh Kumar Singh},
  journal= {arXiv preprint arXiv:2306.00775},
  year   = {2024}
}

Comments

31 pages, to be appear in Mathematika

Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect

Abstract

Keywords

Cite

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