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 | |
| Publication status | Published - 2006 Jan |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Circular distributions of finite order. / Seo, Soogil.
In: Mathematical Research Letters, Vol. 13, No. 1, 01.2006, p. 1-14.Research output: Contribution to journal › Article
TY - JOUR
T1 - Circular distributions of finite order
AU - Seo, Soogil
PY - 2006/1
Y1 - 2006/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33645144413&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645144413&partnerID=8YFLogxK
U2 - 10.4310/MRL.2006.v13.n1.a1
DO - 10.4310/MRL.2006.v13.n1.a1
M3 - Article
AN - SCOPUS:33645144413
VL - 13
SP - 1
EP - 14
JO - Mathematical Research Letters
JF - Mathematical Research Letters
SN - 1073-2780
IS - 1
ER -