|
Organizers |
On The Diophantine Equation (qn+1) / (q+1)=y
by
Behrooz Khosravi
Amirkabir University of Technology(Tehran PolyTechnic), Tehran, Iran
Coauthors: Amir Khosravi
The theory of finite groups leads to some diophantine equations in which the variables are restricted to be prime or a power of a prime number. One of these equations is the diophantine equation (qn+1)/(q+1)=y, where q be a power of a prime number and 2\not| n. In this paper we solve this diophantine equation where |\pi(y-1)| <= 3. This result finds frequent applications in the theory of finite groups.
Date received: January 12, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # calz-15.