Formal groups and Dirichlet \(L\)-functions. II
type: Item
instance of: scholarly article
title: Formal groups and Dirichlet \(L\)-functions. II
zbMATH Open document ID: 0762.11046
DOI: 10.1016/0022-314X(92)90128-C
author: Nancy Childress
author: Jeffrey Stopple
published in: Journal of Number Theory
publication date: 1993-01-17T00:00:00Z
review text: The authors discuss a generalisation of Honda's theorem, cited in the paper reviewed below, to characters of odd prime conductor \(p\). Here the \((p-2)\)-dimensional analogues of Honda's groups over \(\mathbb{Z}\) are constructed from a subrepresentation of the regular representation of \(\text{Gal}\bigl(\mathbb{Q}\bigl(\exp{2\pi i\over p}\bigr)/\mathbb{Q}\bigr)\).
Mathematics Subject Classification ID: 11R33
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11L05
Mathematics Subject Classification ID: 14L05
Mathematics Subject Classification ID: 11S31
zbMATH DE Number: 96565
zbMATH Keywords: global generalization of Honda's result
zbMATH Keywords: formal groups
zbMATH Keywords: Gauss sums
zbMATH Keywords: integral representations
zbMATH Keywords: characters of odd prime conductor
reviewed by: B. Z. Moroz
MaRDI profile type: Publication
cites work: Formal groups and Dirichlet \(L\)-functions. I
cites work: Q3901604
cites work: Formal groups and zeta-functions
cites work: Invariant differentials and L-functions. Reciprocity law for quadratic fields and elliptic curves over Q
cites work: Q5628326
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description: scientific article; zbMATH DE number 96565