Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect

Ritabrata Munshi

doi:10.4171/jems/1131

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

Subconvexity for $G L (3) \times G L (2)$ $L$ -functions in $t$ -aspect

Ritabrata Munshi
Indian Statistical Institute, Kolkata, India

$Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect cover$

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Abstract

Let $π$ be a HeckeMaass cusp form for $SL (3, Z)$ and $f$ be a holomorphic (or Maass) Hecke cusp form for $SL (2, Z)$ . In this paper we prove the subconvex bound

L (1 / 2 + i t, π \times f) ≪_{π, f, ε} (1 + ∣ t ∣)^{3 / 2 - 1 / 51 + ε} .

Cite this article

Ritabrata Munshi, Subconvexity for $G L (3) \times G L (2)$ $L$ -functions in $t$ -aspect. J. Eur. Math. Soc. 24 (2022), no. 5, pp. 1543–1566

DOI 10.4171/JEMS/1131