On the diophantine equation 𝑥²=4𝑞^{𝑚}-4𝑞ⁿ+1
Author:
Abstract
In this note, we find all positive integer solutions ( x , q , m , n ) (x,q,m,n) of the diophantine equation from the title with q q a prime power.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/2003-131-05/S0002-9939-02-06921-6/S0002-9939-02-06921-6.pdf
Reference5 articles.
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3. On the Diophantine equation 𝑥^{𝑝}-𝑥=𝑦^{𝑞}-𝑦;Mignotte, M.;Publ. Mat.,1999
4. The Diophantine equation 𝑥²=4𝑞ⁿ-4𝑞+1;Skinner, Chris;Pacific J. Math.,1989
5. The Diophantine equation 𝑥²=4𝑞^{𝑎/2}+4𝑞+1, with an application to coding theory;Tzanakis, Nikos;J. Number Theory,1987
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