Titlebook: Introduction to Quadratic Forms; O. T. O’Meara Book 1973Latest edition Springer-Verlag Berlin Heidelberg 1973 algebra.group theory.mathema

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0072-7830 Overview: 978-3-662-41922-9Series ISSN 0072-7830 Series E-ISSN 2196-9701

使迷惑

Hilbert’s Reciprocity LawThe Hilbert Reciprocity Law states that ..

EWER

Integral Theory of Quadratic Forms over Local FieldsThis chapter classifies quadratic forms under integral equivalence over local fields..

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Confound

https://doi.org/10.1007/978-3-662-41922-9algebra; group theory; mathematics; quadratic form

BUOY

Quadratic Forms over Dedekind Domainse present chapter is to state the nature of this problem in modern terminology and in the general setting of an arbitrary Dedekind domain. Our second purpose is to develop some technique in this general situation. The more interesting results must wait until we specialize to the fields of number theory.

ventilate

Valuated Fieldsnumber theory, and topology. Strictly speaking the topological considerations are just of a conceptual nature and in fact only the most elementary results on metric spaces and topological groups will be used; nevertheless these considerations are essential to the point of view taken throughout this chapter and indeed throughout the entire book.