[math-fun] sums of seven cubes

arXiv:1009.3983 Date: Tue, 21 Sep 2010 02:24:50 GMT (10kb) Title: Every even number greater than 454 is the sum of seven cubes Authors: Noam D. Elkies Categories: math.NT Comments: 9 pages MSC-class: Primary 11P05 \\ It is conjectured that every integer N>454 is the sum of seven nonnegative cubes. We prove the conjecture when N is congruent to 2 mod 4. This result, together with a recent proof for 4|N, shows that the conjecture is true for all even N. \\ ( http://arxiv.org/abs/1009.3983 , 10kb)