Functiones et Approximatio Commentarii Mathematici

Hilbert modular and quasimodular forms

Min Ho Lee

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Abstract

Quasimodular forms generalize modular forms and have been studied actively in recent years in connection with various topics in number theory and geometry. One of their interesting properties is that they correspond to finite sequences of modular forms of certain types. We extend such a correspondence to the case of Hilbert quasimodular forms. As an application we construct Poincaré series for Hilbert quasimodular forms.

Article information

Source
Funct. Approx. Comment. Math., Volume 52, Number 2 (2015), 177-192.

Dates
First available in Project Euclid: 18 June 2015

Permanent link to this document
https://projecteuclid.org/euclid.facm/1434650876

Digital Object Identifier
doi:10.7169/facm/2015.52.2.1

Mathematical Reviews number (MathSciNet)
MR3358315

Zentralblatt MATH identifier
06862257

Subjects
Primary: 11F41: Automorphic forms on GL(2); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20]

Keywords
quasimodular forms Hilbert modular forms Poincaré series

Citation

Lee, Min Ho. Hilbert modular and quasimodular forms. Funct. Approx. Comment. Math. 52 (2015), no. 2, 177--192. doi:10.7169/facm/2015.52.2.1. https://projecteuclid.org/euclid.facm/1434650876


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