**Authors:****Eberhard R. Hilf**Phone: +49-(0)441-798-2542 Fax: +49-(0)441-798-3201**H. P. Baltes****Files:****ebs.130.and.cube.spectrum.pdf**

**Date:**1973**Article:**unpublished**Abstract:**The asymptotic mean degeneracy and spacing of the eigenvalue spectrum of the wave equation for a cube-shaped domain is presented. This could be achieved by realizing the following new property of the number 130. It is conjectured that there exist just 10 numbers, which can neither be represented as (i) a sum of three positive squares, nor as (ii) 4^a ( 8b+7 ), and which (iii) are not multiples of 4. 130 is the largest of these 10 numbers. This conjecture was checked numerically for numbers up to 40,000.

Metadata by Thomas Severiens on 13 April 1999

Supporting work done by Sandra Valeska Bergmann.