増殖分解
,末尾急増型主要対称部分
,極小型自然数
,極小型実二次体
,連分数
,基本単数
,類数
,ガウス予想
,growth decompositions
,primary symmetric parts with extremely large end
,positive integers of minimal type
,real quadratic fields of minimal type
,continued fractions
,the fundamental uint
,the class number
,Gauss conjecture
研究分野
自然科学一般 / 代数学 /
経歴
2007年
-:学習院大学理学部助教
2007年
- Gakushuin University, Assistant Professor
1986年
-
2006年
:学習院大学理学部助手
1986年
-
2006年
学習院大学
Gakushuin University Faculty of Science, Department of Mathematics Assistant Professor (Gakushuin University)
TOKYO JOURNAL OF MATHEMATICS 35(1) 213-239 2012年6月
The main purpose of this article is to present a numerical data which shows relations between real quadratic fields of class number 1 and a mysterious behavior of the period of simple continued fraction expansion of certain quadratic irrationals. ...
OSAKA JOURNAL OF MATHEMATICS 46(4) 949-993 2009年12月
In a previous paper [4], we introduced the notion of real quadratic fields with period I of minimal type in terms of continued fractions. As a consequence, we have to examine a construction of real quadratic fields with period >= 5 of minimal t...
OSAKA JOURNAL OF MATHEMATICS 46(4) 949-993 2009年12月
In a previous paper [4], we introduced the notion of real quadratic fields with period I of minimal type in terms of continued fractions. As a consequence, we have to examine a construction of real quadratic fields with period >= 5 of minimal t...
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 60(3) 865-903 2008年7月
The main purpose of this article is to introduce the notion of real quadratic fields of minimal type in terms of continued fractions with period e. We show that fundamental units of real quadratic fields that are not of minimal type are relatively...
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 79(9) 139-141 2003年11月
We prove that a number field K satisfies the following property (B) if and only if the ray class group of K defined modulo 4 is trivial. (B): For any tame abelian extensions N-1 and N-2 over K of exponent 2, the composite N1N2/K has a relative nor...