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Two Diophantine Birds with One Stone

Two Diophantine Birds with One Stone Integer Solutions are found to the equations t2−3(a2, b2, (a + b)2, (a−b)2) = p2, q2, r2, s2. These lead surprisingly to solutions to the equations u2 + (c2, d2, (c + d)2, (c − d)2) = p2, q2, v2, w2, with the same values of p and q. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Two Diophantine Birds with One Stone

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/13.6.561
Publisher site
See Article on Publisher Site

Abstract

Integer Solutions are found to the equations t2−3(a2, b2, (a + b)2, (a−b)2) = p2, q2, r2, s2. These lead surprisingly to solutions to the equations u2 + (c2, d2, (c + d)2, (c − d)2) = p2, q2, v2, w2, with the same values of p and q.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Nov 1, 1981

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