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On the sum of four cubes

Part of:Additive number theory; partitions

Published online by Cambridge University Press:  26 February 2010

Koichi Kawada
Koichi Kawada
Affiliation:
Department of Mathematics, Faculty of Education, Iwate University, Morioka 020, Japan.
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Extract

On Waring's problem for cubes, it is conjectured that every sufficiently large natural number can be represented as a sum of four cubes of natural numbers. Denoting by E(N) the number of the natural numbers up to N that cannot be written as a sum of four cubes, we may express the conjecture as E(N)≪1.

MSC classification

Secondary:11P05: Waring's problem and variants

Information

Type
Research Article
Information
Mathematika , Volume 43 , Issue 2 , December 1996, pp. 323 - 348
Copyright
Copyright © University College London 1996

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