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A PAUCITY ESTIMATE RELATED TO NEWTON SUMS OF ODD DEGREE

Part of: Additive number theory; partitions Exponential sums and character sums Diophantine equations

Published online by Cambridge University Press:  27 March 2012

Jörg Brüdern  and
Olivier Robert
Jörg Brüdern
Affiliation:
Mathematisches Institut, Bunsenstrasse 3–5, D 37073 Göttingen, Germany (email: [email protected])
Olivier Robert
Affiliation:
Institut Camille Jordan CNRS UMR 5208, Université de Lyon and Université de Saint-Etienne, 23, rue du Dr P. Michelon, F-42000, Saint-Etienne, France (email: [email protected])
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Abstract

Paucity is established for a system of diagonal diophantine equations, in which the degrees are the odd numbers in ascending order.

MSC classification

Secondary: 11D72: Equations in many variables 11P05: Waring's problem and variants 11L15: Weyl sums
Type
Research Article
Information
Mathematika , Volume 58 , Issue 2 , July 2012 , pp. 225 - 235
Copyright
Copyright © University College London 2012

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References

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