Open Access
March 2012 On Weyl sums for smaller exponents
Kent D. Boklan, Trevor D. Wooley
Funct. Approx. Comment. Math. 46(1): 91-107 (March 2012). DOI: 10.7169/facm/2012.46.1.7

Abstract

We present a hybrid approach to bounding exponential sums over $k$th powers via Vinogradov's mean value theorem, and derive estimates of utility for exponents $k$ of intermediate size.

Citation

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Kent D. Boklan. Trevor D. Wooley. "On Weyl sums for smaller exponents." Funct. Approx. Comment. Math. 46 (1) 91 - 107, March 2012. https://doi.org/10.7169/facm/2012.46.1.7

Information

Published: March 2012
First available in Project Euclid: 30 March 2012

zbMATH: 1328.11085
MathSciNet: MR2951731
Digital Object Identifier: 10.7169/facm/2012.46.1.7

Subjects:
Primary: 11L15
Secondary: 11L07 , 11P05 , 11P55

Keywords: exponential sums , Hardy-Littlewood method , Waring's Problem

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.46 • No. 1 • March 2012
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