Sums of Four Squares in a Quadratic Ring

DOI10.2307/1993736zbMath0115.26502OpenAlexW4247973370MaRDI QIDQ5724007

Harvey Cohn, Gordon Pall

Publication date: 1962

Full work available at URL: https://doi.org/10.2307/1993736

zbMATH Keywords

number theory

Related Items (11)

Some elementary aspects of modular functions in several variables ⋮ Sums of squares over the Fibonacci ○-ring ⋮ Rotations and units in quaternion algebras ⋮ Lifting problem for universal quadratic forms ⋮ Sums of nonvanishing integral squares in real quadratic fields ⋮ Sums of distinct integral squares in real quadratic fields ⋮ Automorphic forms and automorphy preserving differential operators on products of halfplanes ⋮ A cubic ring of integers with the smallest Pythagoras number ⋮ Sum of squares in imaginary quadratic fields ⋮ Pythagoras numbers of orders in biquadratic fields ⋮ On quadratic Waring’s problem in totally real number fields

Cites Work

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• Numerical study of the representation of a totally positive quadratic integer as the sum of quadratic integral squares
• On the representation of a binary quadratic form as a sum of squares of linear forms
• Sums of two squares in a quadratic field
• Decomposition Into Four Integral Squares in the Fields of 2 ½ and 3½
• Quadratsummen in reell‐quadratischen Zahlkörpern
• The Structure of the Number of Representations Function in a Binary Quadratic Form
• Cusp Forms Arising from Hilbert's Modular Functions for the Field of 3 ½
• On the Arithmetic of Quaternions
• Integers of Quadratic Fields as Sums of Squares
• Representation by Quadratic Forms

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