English

On gaps between sums of four fourth powers

Number Theory 2019-10-14 v1

Abstract

We prove that for almost all NN there is a sum of four fourth powers in the interval (NNγ,N](N-N^\gamma,N], for all γ>4059/16384=0.24774..\gamma>4059/16384=0.24774...

Cite

@article{arxiv.1910.05079,
  title  = {On gaps between sums of four fourth powers},
  author = {Luca Ghidelli},
  journal= {arXiv preprint arXiv:1910.05079},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-23T11:40:48.262Z