A Kronecker-type identity and the representations of a number as a sum of three squares
A Kronecker-type identity and the representations of a number as a sum of three squares
By considering a limiting case of a Kronecker-type identity, we obtain an identity found by both Andrews and Crandall.We then use the Andrews-Crandall identity to give a new proof of a formula of Gauss for the representations of a number as a sum of three squares.From the Kronecker-type identity, we …