𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solving Some Quadratic Diophantine Equations with Clifford Algebra

✍ Scribed by G. Aragón-González; J. L. Aragón; M. A. Rodríguez-Andrade

Publisher
Springer
Year
2010
Tongue
English
Weight
263 KB
Volume
21
Category
Article
ISSN
0188-7009

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Solutions of some quadratic Diophantine
Solutions of some quadratic Diophantine equations
✍ Refik Keskin 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 249 KB

In this study, we investigate positive integer solutions of the Diophantine equations x 2 -kxy∓y 2 ∓x = 0 and x 2 -kxy-y 2 ∓y = 0. It is shown that when k > 3, x 2 -kxy+y 2 +x = 0 has no positive integer solutions but the equation x 2 -kxy + y 2 -x = 0 has positive integer solutions. Moreover, it is

Solving Genus Zero Diophantine Equations
Solving Genus Zero Diophantine Equations with at Most Two Infinite Valuations
✍ Dimitrios Poulakis; Evaggelos Voskos 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 249 KB

Let f (X, Y ) be an absolutely irreducible polynomial with integer coefficients such that the curve defined by the equation f (X, Y ) = 0 is of genus 0 having at most two infinite valuations. This paper describes a practical general method for the explicit determination of all integer solutions of t

An optimization method for solving some
An optimization method for solving some differential algebraic equations
✍ M.A. El-Khateb; H.S. Hussien 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 199 KB

## a b s t r a c t In this paper, the problem of differential algebraic equations has been solved via Chebyshev integral method combined with an optimization method. Two approaches are used based on the index of the problem: in the first, the proposed method is applied on the original problem and i