On sums of seven cubes-Reference-Cited by-同舟云学术

On sums of seven cubes

Published:1999-02-11 Issue:227 Volume:68 Page:1303-1310
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Bertault F.,Ramaré O.,Zimmermann P.

Abstract

We show that every integer between 1290741 and 3.375 × 10 12 3.375\times 10^{12} is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 nonnegative cubes.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1999-68-227/S0025-5718-99-01071-6/S0025-5718-99-01071-6.pdf

Reference15 articles.

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3. J.M. Deshouillers, F. Hennecart and B. Landreau, private communication.

4. The 7-15 problem;Venkatarayudu, T.;Proc. Indian Acad. Sci., Sect. A.,1939

5. L. E. Dickson “Theory of numbers”, Vol II, Chelsea Publishing Company (1971).

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