# A Polya-Vinogradov-type inequality on $\mathbb{Z}[i]$

## TL;DR

This paper extends the classical Polya-Vinogradov inequality to the setting of Gaussian integers, providing bounds for character sums over this complex integer domain.

## Contribution

It introduces a Polya-Vinogradov-type inequality specifically for multiplicative characters on the Gaussian integers, a novel extension of classical bounds.

## Key findings

- Established a new bound for character sums over 
- Extended classical inequalities to complex quadratic integer rings
- Provides tools for analytic number theory in 

## Abstract

We establish a Polya-Vinogradov-type bound for finite periodic multipicative characters on the Gaussian integers.

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Source: https://tomesphere.com/paper/1703.06498