Skip to Main content Skip to Navigation
New interface
Journal articles

On Sums of Seven Cubes

François Bertault 1 Olivier Ramaré Paul Zimmermann 1 
1 POLKA - Polynomials, Combinatorics, Arithmetic
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We show that every integer between 1290741 and $3.375\,10^{12}$ is a sum of 5 non negative 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 non negative cubes.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/inria-00108056
Contributor : Publications Loria Connect in order to contact the contributor
Submitted on : Thursday, October 19, 2006 - 3:40:31 PM
Last modification on : Friday, February 4, 2022 - 3:30:56 AM

Identifiers

  • HAL Id : inria-00108056, version 1

Collections

Citation

François Bertault, Olivier Ramaré, Paul Zimmermann. On Sums of Seven Cubes. Mathematics of Computation, 1999, 68 (227), pp.1303-1310. ⟨inria-00108056⟩

Share

Metrics

Record views

58