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 languageEnglish
Pages (from-to)65-77
Number of pages13
JournalRamanujan Journal
Volume37
Issue number1
DOIs
Publication statusPublished - 2015 May 1
Externally publishedYes

Keywords

  • Harmonic weak Maass forms
  • Hecke operator

ASJC Scopus subject areas

  • Algebra and Number Theory

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