On gaps between sums of four fourth powers
Volume 208 / 2023
Acta Arithmetica 208 (2023), 295-324
MSC: Primary 11P05; Secondary 11P55, 11B05.
DOI: 10.4064/aa191012-2-12
Published online: 8 September 2023
Abstract
We prove that for almost all $N$ there is a sum of four fourth powers in the interval $(N-N^\gamma ,N]$ for any $\gamma \gt 4059/16384=0.24774\ldots .$
