On sums of seven cubes

Bertault, F.; Ramaré, O.; Zimmermann, P.

doi:10.1090/S0025-5718-99-01071-6

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.

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