Parametrization of the Quadratic Fields Whose Class Numbers are Divisible by Three

✍ Scribed by Yasuhiro Kishi; Katsuya Miyake

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 132 KB
Volume: 80
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2455

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A Note on the Divisibility of Class Numb

A Note on the Divisibility of Class Numbers of Real Quadratic Fields

✍ Gang Yu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

Suppose g > 2 is an odd integer. For real number X > 2, define S g ðX Þ the number of squarefree integers d4X with the class number of the real quadratic field Qð ffiffiffi d p Þ being divisible by g. By constructing the discriminants based on the work of Yamamoto, we prove that a lower bound S g ðX