Everything You Wanted To Know About ax2+by2+cz2+dt2 But Were Afraid To Ask

DOI10.1080/00029890.2018.1503003zbMath1440.11047OpenAlexW2899563407MaRDI QIDQ4554680

Kenneth S. Williams

Publication date: 9 November 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2018.1503003

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20)

Related Items (1)

Integral quadratic forms avoiding arithmetic progressions

Uses Software

• QFLib

Cites Work

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• Refining Lagrange's four-square theorem
• Quadratic forms representing all integers coprime to 3
• Almost-universal quadratic forms: an effective solution of a problem of Ramanujan
• Quadratic forms over \(\mathbb Z\) from Diophantus to the 290 theorem
• Local densities and explicit bounds for representability by a quadratic form
• Quadratic Forms Representing All Odd Positive Integers
• A “Four Integers” Theorem and a “Five Integers” Theorem
• A Simple Proof of the Four-Squares Theorem
• Quadratic Forms and Their Applications
• Classically integral quadratic forms excepting at most two values
• Note on almost-universal forms
• The Completion of a Problem of Kloosterman

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