A large sieve inequality of Elliott--Montgomery--Vaughan type for Maass forms on GL(n,R) with applications

TL;DR

This paper develops a large sieve inequality for Maass forms on GL(n, R), extending classical results and demonstrating its usefulness through three applications in the field.

Contribution

It introduces a new large sieve inequality of Elliott-Montgomery-Vaughan type specifically for Maass forms on GL(n, R), expanding the analytical toolkit.

Findings

Established a large sieve inequality for Maass forms on GL(n, R)

Demonstrated three applications of the inequality in number theory

Extended classical sieve methods to higher-rank groups

Abstract

In this paper, we establish a large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on GL(n, R) and explore three applications.