Hilbert modular and quasimodular forms
type: Item
instance of: scholarly article
title: Hilbert modular and quasimodular forms
zbMATH Open document ID: 1395.11077
author: Min Ho Lee
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2018-04-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1434650876
review text: Modular forms has been a very popular subject in the last century as they have been used in proving many long standing conjectures. Their variants are also important in many areas such as number theory, algebraic number theory, discrete group theory and hyperbolic geometry. In this paper, the author considers the fact that quasimodular forms being a general case of classical modular forms correspond to finite sequences of modular forms of certain types, and he generalizes this correspondence to Hilbert quasimodular forms. As an application of this new correspondence, the authors constructs Poincaré series for these forms.
Mathematics Subject Classification ID: 11F41
zbMATH DE Number: 6862257
zbMATH Keywords: modular form
zbMATH Keywords: Hilbert modular form
zbMATH Keywords: quasimodular form
zbMATH Keywords: Hilbert quasimodular form
zbMATH Keywords: Poincaré series
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
OpenAlex ID: W1486500530
cites work: Q4718264
cites work: Q5439604
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cites work: Q4858409
cites work: Vector-valued Jacobi-like forms
cites work: Quasimodular forms and Poincaré series
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cites work: The ring of quasimodular forms for a cocompact group
cites work: On stable ideals in certain differential rings of Hilbert quasi-modular forms
DOI: 10.7169/FACM/2015.52.2.1
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description: scientific article; zbMATH DE number 6862257