Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomials

详细信息    查看全文

• 作者：SoYoung Choi^a ; ¹ ; ^{mathsoyoung@gnu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Chang Heon Kim^b ; ² ; ^{chhkim@skku.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 11F11 ; 11F67 ; secondary ; 11F25
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：26 February 2016
• 年：2016
• 卷：290
• 期：Complete
• 页码：144-162
• 全文大小：367 K

文摘

In the work of Bringmann, Guerzhoy, Kent and Ono [2] weakly holomorphic Hecke eigenforms are defined and constructed in the level one case by making use of harmonic weak Maass forms. In this paper we extend their results to higher level cases and give an explicit construction in terms of weakly holomorphic modular forms without relying on the theory of harmonic weak Maass forms. Moreover we find a basis for the space of period polynomials consisting of Hecke eigenpolynomials.