Representation of a binary quadratic form as a sum of two squares

Author:
Kenneth S. Williams

Journal:
Proc. Amer. Math. Soc. **32** (1972), 368-370

MSC:
Primary 10C05; Secondary 10B35

DOI:
https://doi.org/10.1090/S0002-9939-1972-0325536-6

MathSciNet review:
0325536

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an integral binary quadratic form. A short proof is given of Pall's formula for the number of representations of as the sum of squares of two integral linear forms.

**[1]**L. J. Mordell,*On the representation of a binary quadratic form as a sum of squares of linear forms*, Math. Z.**35**(1932), no. 1, 1–15. MR**1545284**, https://doi.org/10.1007/BF01186544**[2]**Gordon Pall,*Sums of two squares in a quadratic field*, Duke Math. J.**18**(1951), 399–409. MR**0040337**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1972-0325536-6

Keywords:
Binary quadratic form,
sum of squares

Article copyright:
© Copyright 1972
American Mathematical Society