Character sums over unions of intervals

2013/02/02 by Xuancheng Shao, Shao, Xuancheng · 2 citations
Computer Science · Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1302.0348

8 pages

arxiv created 2013/02/02 · openalex publication_date 2013/02/02 · arxiv updated 2013/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a Burgess-type bound for character sums over unions of intervals. The result follows from the argument of Heath-Brown, with an improvement in one of the steps.

Cited by

• Burgess-type character sum estimates over generalized arithmetic progressions of rank 2
• Shortest Distance in Modular Cubic Polynomials

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