Circular distributions of finite order

Soogil Seo

doi:10.4310/MRL.2006.v13.n1.a1

Circular distributions of finite order

Soogil Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Mathematical Research Letters
Volume	13
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2006.v13.n1.a1
Publication status	Published - 2006 Jan

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "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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