Publication

ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS

Philippe Michel, Yongxiao Lin
2023
Journal Articles

Abstract

We prove that the coefficients of a GL3 x GL2 Rankin-Selberg L-function do not correlate with a wide class of trace functions of small conductor modulo primes, generalizing the corresponding result of Fouvry, Kowalski, and Michel for GL2 and of Kowalski, Lin, Michel, and Sawin for GL3. This result is inspired by a recent work of P. Sharma who discussed the case of a Dirichlet character of prime modulus.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS

Chat with Graph Search

Toroidal families and averages of L-functions, I

Non-planarity of Markoff graphs mod p

Algebraic twists of GL(2) automorphic forms