Mathematical Research Letters

Volume 13, Issue 1, January 2006 pp. 1-14.

Circular distributions of finite order

Authors: Soogil Seo
Author institution: Yonsei University

Summary: Motivated by the theory of circular distributions, we introduced a filtration on the global units attached to the maximal real subfield of a cyclotomic field and conjectured that the associated gradation is isomorphic, (as a Galois module) to the ideal class group. This conjecture depends on circular distributions of Coleman and a guess made by him. In this paper we show that the circular distributions of finite order cannot be constructed from cyclotomic p-units and their Galois conjugates.

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