Decomposition Into Four Integral Squares in the Fields of 2 ½ and 3½

DOI10.2307/2372737zbMath0097.03103OpenAlexW2327176798MaRDI QIDQ3275903

Harvey Cohn

Publication date: 1960

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2372737

zbMATH Keywords

quadratic fieldsrepresentation of integerssums of four squares

Mathematics Subject Classification ID

Quadratic extensions (11R11) Waring's problem and variants (11P05)

Related Items (9)

Some elementary aspects of modular functions in several variables ⋮ Applications of the theory of modular forms to number theory ⋮ The sum of four squares over real quadratic number fields ⋮ Lifting problem for universal quadratic forms ⋮ An alternate proof of Cohn's four squares theorem. ⋮ Sums of Four Squares in a Quadratic Ring ⋮ Automorphic forms and automorphy preserving differential operators on products of halfplanes ⋮ SUMS OF DISTINCT INTEGRAL SQUARES IN , AND ⋮ Geometry of numbers proof of Götzky's four-squares theorem.

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