Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903595 | European Journal of Combinatorics | 2018 | 11 Pages |
Abstract
We show that, for every positive integer r, there exists an integer b=b(r) such that the 4-variable quadratic Diophantine equation (x1ây1)(x2ây2)=b is r-regular. Our proof uses Szemerédi's theorem on arithmetic progressions.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
S.D. Adhikari, L. Boza, S. Eliahou, M.P. Revuelta, M.I. Sanz,