Burgess bounds for short mixed character sums

D. R. Heath‐Brown, Lillian B. Pierce

Type: Article

Publication Date: 2015-04-20

Citations: 13

DOI: https://doi.org/10.1112/jlms/jdv009

Abstract

This paper proves non-trivial bounds for short mixed character sums by introducing estimates for Vinogradov's mean value theorem into a version of the Burgess method.

Locations

Journal of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
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Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	On the order of 𝜁(1/2+𝑖𝑡)	1949	Szu-Hoa Min
+	The cubic case of the main conjecture in Vinogradov's mean value theorem	2016	Trevor D. Wooley
+ PDF Chat	Sur les séries de fonctions orthogonales	1927	D. Menchoff
+	On Character Sums and <i>L</i> -Series. II	1963	D. A. Burgess
+	Einige S�tze �ber Reihen von allgemeinen Orthogonalfunktionen	1922	Hans Rademacher
+	The distribution of quadratic residues and non‐residues	1957	D. A. Burgess
+	SOME PROBLEMS IN THE INTERFACE BETWEEN NUMBER THEORY, HARMONIC ANALYSIS AND GEOMETRY OF EUCLIDEAN SPACE	1995	Per Enflo
+	Partial Gaussian Sums II	1989	D. A. Burgess
+ PDF Chat	Estimates for character sums	1993	John Friedlander Henryk Iwaniec
+ PDF Chat	Burgess’s Bounds for Character Sums	2013	D. R. Heath‐Brown