45 search results - page 1 / 9 » Solving constrained Pell equations |
MOC
1998
13 years 4 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
12 years 11 months 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
12 years 11 months 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 4 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...