On sums of seven cubes
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- by F. Bertault, O. Ramaré and P. Zimmermann PDF
- Math. Comp. 68 (1999), 1303-1310 Request permission
Abstract:
We show that every integer between 1290741 and $3.375\times 10^{12}$ 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.References
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Additional Information
- F. Bertault
- Affiliation: Département de mathématiques, Université de Lille I, 59 655 Villeneuve d’Ascq, France
- Email: [email protected]
- O. Ramaré
- Affiliation: LORIA, BP 101, 54600 Villers-lès-Nancy Cedex, France
- MR Author ID: 360330
- Email: [email protected]
- P. Zimmermann
- MR Author ID: 273776
- Email: [email protected]
- Received by editor(s): November 4, 1996
- Received by editor(s) in revised form: October 28, 1997
- Published electronically: February 11, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 68 (1999), 1303-1310
- MSC (1991): Primary 11P05, 11Y50; Secondary 11B13, 11D25, 11D72
- DOI: https://doi.org/10.1090/S0025-5718-99-01071-6
- MathSciNet review: 1642805