Art

J-GLOBAL ID：201002268638586296   Reference number：10A0379338

On the Density of Real Quadratic Fields with λ₂=μ₂=ν₂=0

λ₂=μ₂=ν₂=0の実数二次体の密度

Author (2)： TAYA Hisao (Miyagi Univ. of Education, Dep. of Mathematics) ,  YAMAMOTO Gen (Tokyo Denki Univ., School of Sci. and Technol. for Future Life)
Material： Interdisciplinary Information Sciences  (Interdiscip Inf Sci)
Volume： 16  Issue： 1  Page： 87-92 (J-STAGE)  Publication year： 2010 
JST Material Number： L2559A  ISSN： 1340-9050  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： prime number ,  group(mathematics) ,  subset ,  density ,  invariant ,  *number theory ,  residue class ,  quadratic form ,  imaginary number ,  number ,  upper limit ,  field(mathematics)
Semi thesaurus term： field(mathematics) ,  数体 ,  subgroup ,  合同

JST classification (1)： Code theory  (ND02030R)

Reference (20)：

• [1] Byeon, D., “Indivisibility of class numbers and Iwasawa λ-invariants of real quadratic fields,” Compositio Math., 126: 249–256 (2001).
• [2] Byeon, D., “Existence of certain fundamental discriminants and class numbers of real quadratic fields,” J. Number Theory, 98: 432–437 (2003).
• [3] Ferrero, B., and Washington, L. C., “The Iwasawa invariant μ_p vanishes for abelian number fields,” Ann. of Math., 109: 377–395 (1979).
• [4] Fukuda, T., “Remarks on {\\\\mathbb Z}_p-extensions of Number fields,” Proc. Japan Acad., 70: 264–266 (1994).
• [5] Greenberg, R., “On the Iwasawa invariants of totally real number fields,” Amer. J. Math., 98: 263–284 (1976).

Terms in the title (2)： 実数 ,  密度