Zagier-lift type arithmetic in harmonic weak Maass forms

JOURNAL OF NUMBER THEORY

卷:169

Article

Jeon, Daeyeol¹  Kang, Soon-Yi²  Kim, Chang Heon³ 

[1] Kongju Natl Univ, Dept Math Educ, Kong Ju 314701, South Korea

[2] Kangwon Natl Univ, Dept Math, Chunchon 200701, South Korea

[3] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

关键词: Zagier lift;    Harmonic weak Maass forms;    Traces of singular moduli;    Cycle integral of a modular function;   

DOI  :  10.1016/j.jnt.2016.05.012

来源: Elsevier

【 摘 要 】

Zagier defined lifts of weakly holomorphic modular functions to weakly holomorphic modular forms of weight 3/2. Duke and Jenkins extended Zagier-lifts for weakly holomorphic modular forms of negative-integral weights. In this paper, we show that half-integral weight harmonic weak Maass forms can be interpreted as Zagier-lifts of negative-integral weight harmonic weak Maass forms. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free