45 search results - page 1 / 9 » Solving constrained Pell equations |
MOC
1998
13 years 5 months ago
1998
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...
MOC
2010
13 years 8 days ago
2010
We consider a parameterized family of Thue equations of degree 16. By reducing this family to a system of Pell equations and linear relations, we are able to solve this family.
MOC
2010
13 years 8 days ago
2010
We derive midpoint criteria for solving Pell's equation x2 -Dy2 =
STOC
2002
ACM
14 years 5 months ago
2002
ACM
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
AMC
2004
13 years 5 months ago
2004
This paper presents the solution of a general constrained matrix equation using generalized inverses and gives an explicit expression for the elements of the solution matrix using...