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Byeong Moon Kim, Myung-Hwan Kim, Byeong-Kweon Oh

A finiteness theorem for representability of quadratic forms by forms

In this article, Conway-Schneeberger’s and Bhargava’s results on representability of positive integers by positive definite integral quadratric forms are fully generalized as follows: for any infinite set S of positive definite integral quadratic forms of bounded rank, there is a finite subset S₀ of S such that any positive definite integral quadratic form that represents every element of S₀ represents all elements of S.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 04/2005
Pages: 23 - 30

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