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Journal Articles Mathematics of Computation Year : 1999

On Sums of Seven Cubes

François Bertault
  • Function : Author
  • PersonId : 756532
  • IdRef : 163755442
Olivier Ramaré

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.
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Dates and versions

inria-00108056 , version 1 (19-10-2006)

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  • HAL Id : inria-00108056 , version 1

Cite

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