Browse

Watson transformations and class numbers of ternary quadratic forms

Cited 0 time in Web of Science Cited 0 time in Scopus
Authors
Toshiya Kawakubo
Advisor
오병권
Major
자연과학대학 수리과학부
Issue Date
2017-02
Publisher
서울대학교 대학원
Keywords
ternary quadratic formsclass numberWatson transformation
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2017. 2. 오병권.
Abstract
The class number of an integral quadratic form is defined by the number of
inequivalent classes in its genus. Recently, Chan and Oh gave an explicit
relation between the class number of a (positive definite integral) ternary
quadratic form and the class number of its Watson transformation at an odd
prime. In this thesis, we consider the case when the Watson transformation
is taken at the prime 2 or 4 on arbitrary ternary quadratic forms and give an
explicit relation under this situation. We finally give an effective inductive
method on the computation of the class number of an arbitrary ternary
quadratic form. As an example, we provide the class number formula for any
Bell ternary quadratic form.
Language
English
URI
http://hdl.handle.net/10371/121323
Files in This Item:
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse