Sub-convexity bound for $GL(3) \times GL(2)$ $L$-functions: Hybrid level aspect

Sumit Kumar; Ritabrata Munshi; Saurabh Kumar Singh

Sub-convexity bound for $GL(3) \times GL(2)$ $L$-functions: Hybrid level aspect

Number Theory 2023-03-14 v3

Authors: Sumit Kumar , Ritabrata Munshi , Saurabh Kumar Singh

Abstract

Let $F$ be a $G L(3)$ Hecke-Maass cusp form of prime level $P_1$ and let $f$ be a $G L(2)$ Hecke-Maass cuspform of prime level $P_2$ . In this article, we will prove a subconvex bound for the $G L(3) \times G L(2)$ Rankin-Selberg $L$ -function $L(s,F\times f)$ in the level aspect for certain ranges of the parameters $P_1$ and $P_2$ .

Keywords

subconvexity bound gl(3) x gl(2) l-function rankin-selberg l-function hecke-maass cusp form level aspect prime level

Cite

@article{arxiv.2103.03552,
  title  = {Sub-convexity bound for $GL(3) \times GL(2)$ $L$-functions: Hybrid level aspect},
  author = {Sumit Kumar and Ritabrata Munshi and Saurabh Kumar Singh},
  journal= {arXiv preprint arXiv:2103.03552},
  year   = {2023}
}

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18 pages

Sub-convexity bound for $GL(3) \times GL(2)$ $L$-functions: Hybrid level aspect

Abstract

Keywords

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