(A) criteion of odd non-nongruent numbers and its linear algebraic simplification홀수인 비합동수의 조건과 조건의 선형대수적 단순화

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We give a criterion on a square-free positive odd integer D which is not a congruent number in terms of matrices in linear algebra. Under this criterion, we compute the probability and show that at least 42% square-free positive odd integers D which is congruent to 3 or 5 modulo 8 with prime factors each of which except one is congruent to 1 modulo 4.
Advisors
Bo-Hae Imresearcher임보해researcher
Description
한국과학기술원 :수리과학과,
Publisher
한국과학기술원
Issue Date
2018
Identifier
325007
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2018.2,[i, 35 p. :]

Keywords

elliptic curve▼acongruent number▼anon-congruent number▼aSelmer group▼aMordell-Weil group; 타원곡선▼a합동수▼a비합동수▼a젤머 군▼a모델-베유 군

URI
http://hdl.handle.net/10203/266411
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=733902&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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