Gauss’s representation number of sum of three squares

Asked Jan 30 '22 at 00:35

Active Jan 30 '22 at 00:35

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It is well known that the representation number of sum of three squares is related to the (form) class number of binary quadratic forms, which was proved by Gauss.

But, I could not find references to explain his motivation for this relation.

I appreciate if you teach me how Gauss recognized the relation.

asked Jan 30 '22 at 00:35

P.-S. Park

see https://mathoverflow.net/questions/3596/is-there-a-simple-way-to-compute-the-number-of-ways-to-write-a-positive-integer/22655#22655 – Will Jagy Jan 30 '22 at 02:34
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seems the reference you want is Grosswald, Representations of Integers as Sums of Squares (1985) – Will Jagy Jan 30 '22 at 02:54
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See also this post here, with many links and the answer by Franz Lemmermeyer. – Dietrich Burde Jan 30 '22 at 12:10

Gauss’s representation number of sum of three squares

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