| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595312 | Journal of Number Theory | 2007 | 16 Pages |
Abstract
The general case of the Nagell–Ljunggren equation isxp−1x−1=pe⋅yq,withx,y∈Z,e∈{0,1}, and p≠qp≠q odd primes. In this paper we derive a new bound q>f(p)q>f(p) for which there are no solutions. For small q the problem is harder and we achieve a conditional result: q∤hp− for q
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Preda Mihăilescu,