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Simultaneous Pell equations

✍ Scribed by Anglin, W. S.

Book ID: 126236995
Publisher: American Mathematical Society
Year: 1996
Tongue: English
Weight: 222 KB
Volume: 65
Category: Article
ISSN: 0025-5718
DOI: 10.1090/S0025-5718-96-00687-4

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📜 SIMILAR VOLUMES

Simultaneous Pell Equations

✍ D.W. Masser; J.H. Rickert 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 307 KB

It is proved that if a and b are different non-zero rational integers then the ``simultaneous Pell equations'' have at most 132 solutions in rational integers x, y, z.

Solving Families of Simultaneous Pell Eq

Solving Families of Simultaneous Pell Equations

✍ Michael A Bennett 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 185 KB

If a and b are distinct positive integers then a previous result of the author implies that the simultaneous Diophantine equations x 2 &az 2 =y 2 &bz 2 =1 possess at most 3 solutions in positive integers (x, y, z). On the other hand, there are infinite families of distinct integers (a, b) for which

Solving families of simultaneous Pell eq

Solving families of simultaneous Pell equations

✍ Bennett. 📂 Library 🌐 English ⚖ 62 KB

Common Solutions of Two Simultaneous Pel

Common Solutions of Two Simultaneous Pell Equations

✍ A. Arwin 📂 Article 📅 1922 🏛 John Hopkins University Press 🌐 English ⚖ 406 KB

On two classes of simultaneous Pell equa

On two classes of simultaneous Pell equations with no solutions

✍ Walsh, P. G. 📂 Article 📅 1999 🏛 American Mathematical Society 🌐 English ⚖ 150 KB

Determination of integer solutions of a

Determination of integer solutions of a system of simultaneous Pell equations

✍ A. Yu. Nesterenko 📂 Article 📅 2009 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 558 KB