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

Authors
Brudern, J Kawada, K Wooley, TD
Citation
J. Brudern et al., Additive representation in thin sequences, I: Waring's problem for cubes, ANN SCI EC, 34(4), 2001, pp. 471-501
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
ISSN journal
00129593 → ACNP
Volume
34
Issue
4
Year of publication
2001
Pages
471 - 501
Database
ISI
SICI code
0012-9593(200107/08)34:4<471:ARITSI>2.0.ZU;2-W
Abstract
In this paper we investigate representation of numbers from certain thin se quences like the squares or cubes by sums of cubes. It is shown, in particu lar, 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 pr oblems. (C) 2001 Editions scientifiques et medicales Elsevier SAS.