Distribution of units of a cubic abelian field modulo prime numbers

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概要

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• 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.

• 社団法人 日本数学会の論文
• 2006-04-01

著者

• Kitaoka Yoshiyuki

  Department Of Mathematics Meijo University

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• Distribution of units of a cubic abelian field modulo prime numbers
• Class numbers of positive definite quinary quadratic forms

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