A NOTE ON ENNOLA RELATION

作者:Kim Jae Moon; Ryu Jado*
来源:Taiwanese Journal of Mathematics, 2014, 18(5): 1653-1661.
DOI:10.11650/tjm.18.2014.3665

摘要

Ennola gives an example of a relation among the cyclotomic units which is not a combination of elementary relations. He also proves that twice any relation among the cyclotomic units is a consequence of elementary relations. In the sense of the distribution, the torsion part of the universal even punctured distribution (A(n)(0))(+) is a 2-torsion group. In particular, when n has three distinct prime divisors, (A(n)(0))(+) has a unique 2-torsion element. The aim of this paper is to find an algorithm to produce the unique 2-torsion element when n has three distinct odd prime divisors.

  • 出版日期2014-10