Correlation estimates for sums of three cubes

Joerg Bruedern; Trevor D Wooley

doi:10.2422/2036-2145.201409_013

Correlation estimates for sums of three cubes

Joerg Bruedern, Trevor D Wooley

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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.

Original language	English
Pages (from-to)	789-816
Number of pages	28
Journal	Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Volume	16
Issue number	3
Early online date	29 Sep 2016
DOIs	https://doi.org/10.2422/2036-2145.201409_013
Publication status	Published - Sep 2016

Keywords

math.NT 11D72
11P55
11E76

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10.2422/2036-2145.201409_013

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Scuola normale superiore at http://annaliscienze.sns.it/index.php?page=Article&id=433. Please refer to any applicable terms of use of the publisher.
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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.",

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AU - Bruedern, Joerg

AU - Wooley, Trevor D

PY - 2016/9

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N2 - 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.

AB - 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.

KW - math.NT 11D72

KW - 11P55

KW - 11E76

U2 - 10.2422/2036-2145.201409_013

DO - 10.2422/2036-2145.201409_013

M3 - Article (Academic Journal)

VL - 16

SP - 789

EP - 816

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

JF - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

SN - 0391-173X

IS - 3

ER -

Correlation estimates for sums of three cubes

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Keywords

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