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Binary quadratic forms representing same multiples of a prime
동일한 소수의 배수들을 표현하는 이변수 이차형식

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Authors
임누리
Advisor
오병권
Major
자연과학대학 수리과학부
Issue Date
2014-02
Publisher
서울대학교 대학원
Keywords
binary quadratic formsrepresentingsame multiples of a prime
Description
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2014. 2. 오병권.
Abstract
For a positive definite binary quadratic form f(x, y) = ax^2+bxy+cy^2 for
a, b, c in Z, the set of integers that are represented by f is denoted by Q(f).
In this thesis, we find all pairs (f, g) of binary quadratic forms such that
Q(f) \cap pZ = Q(g) \cap pZ, where p = 2, 3 or 5 and the binary quadratic forms
f_p(x, y), g_p(x, y) defined over Z_p are isotropic 1/2Z_p-modular. In Chapter 4,
we use the method developed in [4] to find all such pairs.
Language
English
URI
http://hdl.handle.net/10371/131479
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
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