JournalsjemsVol. 24, No. 5pp. 1543–1566

Subconvexity for GL(3)×GL(2)GL(3)\times GL(2) LL-functions in tt-aspect

  • Ritabrata Munshi

    Indian Statistical Institute, Kolkata, India
Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

Let π\pi be a HeckeMaass cusp form for SL(3,Z)\operatorname{SL}(3,\mathbb Z) and ff be a holomorphic (or Maass) Hecke cusp form for SL(2,Z)\operatorname{SL}(2,\mathbb{Z}). In this paper we prove the subconvex bound

L(1/2+it,π×f)π,f,ε(1+t)3/21/51+ε.L({1}/{2}+it,\pi\times f)\ll_{\pi,f,\varepsilon} (1+|t|)^{{3}/{2}-{1}/{51}+\varepsilon}.

Cite this article

Ritabrata Munshi, Subconvexity for GL(3)×GL(2)GL(3)\times GL(2) LL-functions in tt-aspect. J. Eur. Math. Soc. 24 (2022), no. 5, pp. 1543–1566

DOI 10.4171/JEMS/1131