SU\G(𝔸)/K·U

Abelian Quadratic Forms

K. G. Ramanathan

Type: Article

Publication Date: 1952-01-01

Citations: 1

DOI: https://doi.org/10.4153/cjm-1952-031-8

Abstract

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 2 n , 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.

Locations

  • Canadian Journal of Mathematics - View - PDF

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Works Cited by This (6)

Action Title Year Authors
+ Réduction de formes quadratiques dans un corps algébrique fini 1949 Pierre Humbert
+ PDF Chat Les fonctions abéliennes et la théorie des nombres 1911 Gaston Cotty
+ The Theory of Units of Quadratic and Hermitian Forms 1951 K. G. Ramanathan
+ Some Remarks on Discontinuous Groups 1945 Carl Ludwig Siegel
+ Hermitian Modular Functions. III: The Hermitian Modular Group 1951 Hel Braun
+ Symplectic Geometry 1943 Carl Ludwig Siegel