Zagier-lift type arithmetic in harmonic weak Maass forms

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• 作者：Daeyeol Jeon^a ; ^{dyjeon@kongju.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Soon-Yi Kang^b ; ^{sy2kang@kangwon.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Chang Heon Kim^c ; ^{chhkim@skku.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11F03 ; 11F12 ; 11F30 ; 11F37
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：169
• 期：Complete
• 页码：227-249
• 全文大小：459 K

文摘

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.