Large sieve inequalities for quartic characters

TL;DR

This paper establishes a large sieve inequality specifically for quartic Dirichlet characters, extending the known inequalities for quadratic and cubic characters to the quartic case.

Contribution

It introduces a novel large sieve inequality for quartic characters, filling a gap in the existing theory for higher-order Dirichlet characters.

Findings

Proves a large sieve inequality for quartic Dirichlet characters

Extends the framework of large sieve inequalities to quartic case

Provides tools for further research in analytic number theory

Abstract

In this paper, we prove a large sieve inequality for quartic Dirichlet characters. The result is analogous to large sieve inequalities for the quadratic and cubic Dirichlet characters.