A natural extension of the Pythagorean equation to higher dimensions

DOI10.1007/s11139-007-9107-8zbMath1188.11010OpenAlexW1994223622WikidataQ114223588 ScholiaQ114223588MaRDI QIDQ943994

Marc Chamberland

Publication date: 12 September 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9107-8

zbMATH Keywords

theta functionscircular matricesDiophantine equations involving circular matricesPythagorean equation

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41) Diophantine equations (11D99)

Related Items (1)

A cubic surface of revolution

Cites Work

• Cubic and general extensions of the Lorentz transformation
• Generalized Hyperbolic Functions
• Some Cubic Modular Identities of Ramanujan
• A Proof in the Spirit of Zeilberger of an Amazing Identity of Ramanujan
• An Amazing Identity of Ramanujan
• Beyond Sin and Cos
• A Cubic Counterpart of Jacobi's Identity and the AGM
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