Correlation estimates for sums of three cubes

Jörg Brüdern, Trevor D. Wooley

Type: Article

Publication Date: 2016-09-29

Citations: 6

DOI: https://doi.org/10.2422/2036-2145.201409_013

Abstract

We establish estimates for linear correlation sums involving sums of three positive integral cubes.Under appropriate conditions, the underlying methods permit us to establish the solubility of systems of homogeneous linear equations in sums of three positive cubes whenever these systems have more than twice as many variables as equations.

Locations

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE - View
Bristol Research (University of Bristol) - View - PDF

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+ PDF Chat	Sums of three cubes, II	2015	Trevor D. Wooley
+ PDF Chat	The Hasse Principle for Systems of Quadratic and Cubic Diagonal Equations	2016	Julia Brandes
+ PDF Chat	ON WARING'S PROBLEM IN SUMS OF THREE CUBES	2021	Javier Pliego
+ PDF Chat	Simultaneous Additive Equations: Repeated and Differing Degrees	2016	Julia Brandes Scott T. Parsell
+	On Waring's problem in sums of three cubes.	2020	Javier Pliego
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Works Cited by This (17)

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+ PDF Chat	Breaking classical convexity in Waring's problem: Sums of cubes and quasi-diagonal behaviour	1995	Jörg Brüdern Trevor D. Wooley
+ PDF Chat	The Hasse principle for systems of diagonal cubic forms	2015	Jörg Brüdern Trevor D. Wooley
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+ PDF Chat	Additive representation in thin sequences, I: Waring's problem for cubes	2001	Jörg Brüdern Kiyokazu Kawada Trevor D. Wooley
+ PDF Chat	Correlations of representation functions of binary quadratic forms	2013	Lilian Matthiesen
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+ PDF Chat	The circle method and diagonal cubic forms	1998	D. R. Heath‐Brown