On the lower bound of the discrepancy of (t; s) sequences: I

TL;DR

This paper establishes the precise lower bound for the discrepancy of shifted Niedereiter's sequences, contributing to the understanding of their uniformity properties in discrepancy theory.

Contribution

It determines the exact lower bound of discrepancy for a specific class of (t; s) sequences, advancing theoretical knowledge in discrepancy bounds.

Findings

Exact lower bound of discrepancy for shifted Niedereiter's sequences.

Improved understanding of uniformity in (t; s) sequences.

Theoretical advancement in discrepancy bounds.

Abstract

We find the exact lower bound of the discrepancy of shifted Niedereiter's sequences.