| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582413 | Expositiones Mathematicae | 2013 | 8 Pages |
Abstract
Let n,p and qq be odd primes. In this paper, using some arithmetical properties of Lucas numbers, we prove that if n>3n>3 and p≡3(mod4), then the equation x4−q4=pynx4−q4=pyn has no positive integer solution (x,y) satisfying gcd (x,y)=1 and 2∤y2∤y.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Liu Yanyan,