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Abelian Quadratic Forms

Published online by Cambridge University Press:  20 November 2018

K. G. Ramanathan
K. G. Ramanathan*
Affiliation:
Tata Institute for Fundamental Research
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Hermite [4] in the course of his investigations on the transformation theory of abelian functions, introduced the notion of abelian quadratic forms. They are quadratic forms whose matrices of orders 2n, satisfy

where k ≠ 0 is a real number, and is the unit matrix of order n. Laguerre [7] and, more systematically, Cotty [3] developed an arithmetical theory of abelian forms in four variables.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 352 - 368
Copyright
Copyright © Canadian Mathematical Society 1952

References

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