Partial Gaussian sums III

D. A. Burgess

Type: Article

Publication Date: 1992-05-01

Citations: 7

DOI: https://doi.org/10.1017/s001708950000879x

Abstract

For integers a, N and H > 0 write where ϰ denotes a non-principal Dirichlet character modulo the positive integer k and e(y) denotes e 2πiy . By a well-known generalisation of the Póya–Vinogradov inequality

Locations

Glasgow Mathematical Journal - View - PDF

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+ PDF Chat	On general partial Gaussian sums	2016	Ren Gang-lian Dingding He Tianping Zhang
+	Bounds of incomplete multiple Kloosterman sums	2006	Igor E. Shparlinski
+	An explicit Pólya-Vinogradov inequality via Partial Gaussian sums	2020	Matteo Bordignon Bryce Kerr
+	Prime Numbers	2012	Olivier Bordellès
+	An explicit P\'{o}lya-Vinogradov inequality via Partial Gaussian sums	2019	Matteo Bordignon Bryce Kerr
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Works Cited by This (4)

Action	Title	Year	Authors
+	Estimation of Character Sums Modulo a Power of a Prime	1986	D. A. Burgess
+	On Character Sums and <i>L</i> -Series. II	1963	D. A. Burgess
+	On a Set of Congruences Related to Character Sums	1988	D. A. Burgess
+	Partial Gaussian Sums II	1989	D. A. Burgess