Functiones et Approximatio Commentarii Mathematici

On Weyl sums for smaller exponents

Kent D. Boklan and Trevor D. Wooley

Full-text: Open access

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.

Article information

Source
Funct. Approx. Comment. Math., Volume 46, Number 1 (2012), 91-107.

Dates
First available in Project Euclid: 30 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.facm/1333112936

Digital Object Identifier
doi:10.7169/facm/2012.46.1.7

Mathematical Reviews number (MathSciNet)
MR2951731

Zentralblatt MATH identifier
1328.11085

Subjects
Primary: 11L15: Weyl sums
Secondary: 11L07: Estimates on exponential sums 11P05: Waring's problem and variants 11P55: Applications of the Hardy-Littlewood method [See also 11D85]

Keywords
Exponential sums Waring's problem Hardy-Littlewood method

Citation

Boklan, Kent D.; Wooley, Trevor D. On Weyl sums for smaller exponents. Funct. Approx. Comment. Math. 46 (2012), no. 1, 91--107. doi:10.7169/facm/2012.46.1.7. https://projecteuclid.org/euclid.facm/1333112936


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References

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