Construction of Number Fields of Odd Degree with Class Numbers Divisible by Three, Five or by Seven

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概要

• 論文の詳細を見る

• We introduce a simple way to construct a family of number fields of given degree with class numbers divisible by a given integer, by using the arithmetic theory of elliptic curves. In particular, we start with an elliptic curve defined over the rational number field with a rational torsion point of order <I>l</I> ∈ {3,5,7}, and show a way to construct infinitely many number fields of given odd degree <I>d</I> ≥ 3 with class numbers divisible by <I>l</I>.

• Graduate School of Information Sciences, Tohoku Universityの論文

著者

• Sato Atsushi

  Mathematical Institute Faculty Of Science Tohoku University

• SATO Atsushi

  Mathematical Institute, Tohoku University

関連論文

• Distribution of rational points on hyperelliptic surfaces
• Construction of Number Fields of Odd Degree with Class Numbers Divisible by Three, Five or by Seven

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