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 |
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Pages (from-to) | 1-14 |
Number of pages | 14 |
Journal | Mathematical Research Letters |
Volume | 13 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2006 Jan |
All Science Journal Classification (ASJC) codes
- Mathematics(all)