Additive representation in thin sequences, I: Waring's problem for cubes

J Brüdern; K Kawada; TD Wooley

doi:10.1016/S0012-9593(01)01067-9

Additive representation in thin sequences, I: Waring's problem for cubes

J Brüdern, K Kawada, TD Wooley

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Abstract

In this paper we investigate representation of numbers from certain thin sequences like the squares or cubes by sums of cubes. It is shown, in particular, that almost all values of an integral cubic polynomial are sums of six cubes. The methods are very flexible and may be applied to many related problems. (C) 2001 Editions scientifiques et medicales Elsevier SAS.

Translated title of the contribution	Additive representation in thin sequences, I: Waring's problem for cubes
Original language	English
Pages (from-to)	471 - 501
Number of pages	31
Journal	Annales Scientifiques de l'École Normale Supérieure
Volume	34 (4)
DOIs	https://doi.org/10.1016/S0012-9593(01)01067-9
Publication status	Published - Jul 2001

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Publisher: Elsevier

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title = "Additive representation in thin sequences, I: Waring's problem for cubes",

abstract = "In this paper we investigate representation of numbers from certain thin sequences like the squares or cubes by sums of cubes. It is shown, in particular, that almost all values of an integral cubic polynomial are sums of six cubes. The methods are very flexible and may be applied to many related problems. (C) 2001 Editions scientifiques et medicales Elsevier SAS.",

author = "J Br{\"u}dern and K Kawada and TD Wooley",

note = "Publisher: Elsevier",

year = "2001",

month = jul,

doi = "10.1016/S0012-9593(01)01067-9",

language = "English",

volume = "34 (4)",

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T1 - Additive representation in thin sequences, I: Waring's problem for cubes

AU - Brüdern, J

AU - Kawada, K

AU - Wooley, TD

N1 - Publisher: Elsevier

PY - 2001/7

Y1 - 2001/7

N2 - In this paper we investigate representation of numbers from certain thin sequences like the squares or cubes by sums of cubes. It is shown, in particular, that almost all values of an integral cubic polynomial are sums of six cubes. The methods are very flexible and may be applied to many related problems. (C) 2001 Editions scientifiques et medicales Elsevier SAS.

AB - In this paper we investigate representation of numbers from certain thin sequences like the squares or cubes by sums of cubes. It is shown, in particular, that almost all values of an integral cubic polynomial are sums of six cubes. The methods are very flexible and may be applied to many related problems. (C) 2001 Editions scientifiques et medicales Elsevier SAS.

U2 - 10.1016/S0012-9593(01)01067-9

DO - 10.1016/S0012-9593(01)01067-9

M3 - Article (Academic Journal)

VL - 34 (4)

SP - 471

EP - 501

JO - Annales Scientifiques de l'École Normale Supérieure

JF - Annales Scientifiques de l'École Normale Supérieure

ER -

Additive representation in thin sequences, I: Waring's problem for cubes

Abstract

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