English

Length Spectra of Natural Numbers

Number Theory 2007-05-23 v1

Abstract

Two numbers are spectral equivalent if they have the same length spectrum. We show how to compute the equivalence classes of this relation. Moreover, we show that these classes can only have either 1,2 or infinitely many elements.

Keywords

Cite

@article{arxiv.math/0701232,
  title  = {Length Spectra of Natural Numbers},
  author = {Wai Yan Pong},
  journal= {arXiv preprint arXiv:math/0701232},
  year   = {2007}
}

Comments

17 pages; 2 algorithms; 1 table. Related to sums of consecutive integers

R2 v1 2026-07-22T17:49:03.970Z