Eisenstein series over complex quadratic fields when the class number exceeds one
type: Item
instance of: scholarly article
title: Eisenstein series over complex quadratic fields when the class number exceeds one
zbMATH Open document ID: 0628.10027
DOI: 10.1016/0022-314X(87)90064-3
author: Robert Styer
published in: Journal of Number Theory
publication date: 1987-01-01T00:00:00Z
review text: \textit{D. Goldfeld}, \textit{J. Hoffstein} and \textit{S. J. Patterson} [Prog. Math. 26, 153-193 (1982; Zbl 0499.10029)] described, among others, Eisenstein series over totally complex fields with the simplifying assumption that the class number h is equal to one. In the paper render review the author develops a theory of Eisenstein series over complex quadratic fields with \(h>1\), by using more classical (Hecke-)methods.
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 4021241
zbMATH Keywords: Hecke theory
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: matrices of Bessel functions
zbMATH Keywords: Eisenstein series over complex quadratic fields
reviewed by: Jannis A. Antoniadis
MaRDI profile type: Publication
cites work: Selberg's Zeta-, L-, and Eisenstein-series
cites work: Q3964659
cites work: Q3671491
cites work: Über Hilbertsche Modulfunktionen und die Dirichletschen Reihen mit Eulerschen Produktenentwicklung
cites work: Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
cites work: Hecke theory over arbitrary number fields
full work available at URL: 0022-314x(87)90064-3
OpenAlex ID: W2088660553
description: scientific article; zbMATH DE number 4021241