Subconvexity bounds for -functions in spectral aspect
Sumit Kumar
Alfréd Rényi Institute of Mathematics,Budapest 1053, Hungary
![Subconvexity bounds for $\textrm{GL(3)}\times \textrm{GL(2)}$ $L$-functions in $\textrm{GL(2)}$ spectral aspect cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-jems.png&w=3840&q=90)
Abstract
Let be a Hecke–Maass cusp form for and be a holomorphic cusp form for of weight or a Hecke–Maass cusp form corresponding to the Laplacian eigenvalue , , for . In this paper, we prove the following subconvexity bound:
Cite this article
Sumit Kumar, Subconvexity bounds for -functions in spectral aspect. J. Eur. Math. Soc. (2023), published online first
DOI 10.4171/JEMS/1383