Recent Developments on Universal Forms
نویسنده
چکیده
In this article, a brief history and recent developments on universal forms are introduced. Recent developments include Conway-Schneeberger’s fifteen theorem, Bhargava’s finiteness theorem on representability of an infinite set of positive integers by positive definite integral quadratric forms, and their generalizations to higher rank representability. Some interesting corollaries and applications are discussed.
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