Distribution of units of a cubic abelian field modulo prime numbers

• Kitaoka Yoshiyuki

  Department of Mathematics, Meijo University

Abstract

We studied the distribution of units of an algebraic number field modulo prime ideals. Here we study the distribution of units of a cubic abelian field modulo rational prime numbers. For a decomposable prime number p, 2(p-1)² is an upper bound of the order of the unit group modulo p, and we show that the conjectural density of primes which attain it is really positive.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 58 (2), 563-584, 2006

  The Mathematical Society of Japan

Keywords

• Distribution of units
• cubic abelian field

Details

• CRID: 1390282680093216896
• NII Article ID: 10018381452
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/1149166789
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2228573
• NDL BIB ID: 7892171
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7892171
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed