Theta series of quaternary quadratic forms over Z and Z[(1 + √p)/2]

This paper classifies the strongly perfect lattices in dimension $10$ . There are up to similarity two such lattices, $K_{10}^{'}$ and its dual lattice.

The Hirzebruch-Mumford volume for the orthogonal group and applications.

Gritsenko, V., Hulek, K., Sankaran, G.K. (2007)

Documenta Mathematica

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Primitive representation of a binary quadratic form as a sum of four squares

John Hunsucker (1971)

Acta Arithmetica

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On the arithmetic of quaternion algebras

Arnold Pizer (1976)

Acta Arithmetica

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On numbers of type $x^{2} + N y^{2}$

Toyokazu Hiramatsu, Yoshio Mimura (1990)

Acta Arithmetica

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An extension of some formulae of Lerch

Andrzej Schinzel (2002)

Acta Mathematica et Informatica Universitatis Ostraviensis

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