The spaces of new forms for harmonic weak Maalss forms and their level raising properties modulo ℓ

Dohoon Choi, Subong Lim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Bringmann et al. (Math. Ann., 355(3):1085–1121, 2013) and Guerzhoy (Proc. Am. Math. Soc., 136:3051–3059, 2008) studied the multiplicity two Hecke theory for weakly holomorphic modular forms on the full modular group. In this note, we consider a generalization of these results to congruence subgroups $$\Gamma _1(N)$$Γ1(N) with a new form theory. Using this, we define new forms for harmonic weak Maass forms and study a level raising property modulo $$\ell$$ℓ for them.

Original language English 65-77 13 Ramanujan Journal 37 1 https://doi.org/10.1007/s11139-014-9557-8 Published - 2015 May 1 Yes

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Modulo
Harmonic
Congruence Subgroups
Modular Group
Modular Forms
Multiplicity
Form
Generalization

Keywords

• Harmonic weak Maass forms
• Hecke operator

ASJC Scopus subject areas

• Algebra and Number Theory

Cite this

In: Ramanujan Journal, Vol. 37, No. 1, 01.05.2015, p. 65-77.

Research output: Contribution to journalArticle

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