Distribution of units of a cubic abelian field modulo prime numbers
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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 <i>p</i>, 2(<i>p</i>-1)<sup>2</sup> is an upper bound of the order of the unit group modulo <i>p</i>, and we show that the conjectural density of primes which attain it is really positive.
- Tokyo Sugaku Kaisya Zasshi
Tokyo Sugaku Kaisya Zasshi 58(2), 563-584, 2006-04-01
The Mathematical Society of Japan