Linear relations and congruences for the coefficients of Drinfeld modular forms
type: Item
instance of: scholarly article
title: Linear relations and congruences for the coefficients of Drinfeld modular forms
zbMATH Open document ID: 1147.11026
published in: Israel Journal of Mathematics
publication date: 2008-09-03T00:00:00Z
review text: In analogy with a recent result on modular forms for \(\text{SL}_2({\mathbb Z})\) by \textit{Y. Choie, W. Kohnen} and \textit{K. Ono} [Bull. Lond. Math. Soc. 37, 335--341 (2005; Zbl 1155.11325)], the author derives congruences for the \(t\)-expansion coefficients of Drinfeld modular forms for \(\text{GL}_2({\mathbb F}_q[T])\) and all linear relations among the initial coefficients. The precise statements are slightly too technical to be reproduced here.
reviewed by: Andreas Schweizer
Mathematics Subject Classification ID: 11F52
zbMATH DE Number: 5320454
zbMATH Keywords: Drinfeld modular form
zbMATH Keywords: \(t\)-expansion
zbMATH Keywords: coefficient
zbMATH Keywords: congruence
zbMATH Keywords: divisibility
zbMATH Keywords: linear relations
author: SoYoung Choi
MaRDI profile type: Publication
full work available at URL: s11856-008-1005-2
OpenAlex ID: W1972517652
cites work: CONGRUENCES FOR COEFFICIENTS OF DRINFELD MODULAR FORMS
cites work: Some formulas for the coefficients of Drinfeld modular forms
cites work: LINEAR RELATIONS BETWEEN MODULAR FORM COEFFICIENTS AND NON-ORDINARY PRIMES
cites work: ``Weak'' congruences for coefficients of the Eisenstein series for \(\mathbb F_q[T]\) of weight \(q^k-1\)
cites work: Finite modular forms
cites work: Growth order and congruences of coefficients of the Drinfeld discriminant function
cites work: On the coefficients of Drinfeld modular forms
cites work: A congruence for the coefficients of the Drinfeld discriminant function
cites work: Q5579662
DOI: 10.1007/S11856-008-1005-2
description: scientific article; zbMATH DE number 5320454