Record number :
1564158
Title of article :
Eichler integrals and harmonic weak Maass forms
Author/Authors :
Choi، نويسنده , , Dohoon and Kim، نويسنده , , Byungchan and Lim، نويسنده , , Subong، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
Pages :
13
From page :
429
To page :
441
Abstract :
Recently, K. Bringmann, P. Guerzhoy, Z. Kent and K. Ono studied the connection between Eichler integrals and the holomorphic parts of harmonic weak Maass forms on the full modular group. In this article, we extend their result to more general groups, namely, H-groups by employing the theory of supplementary functions introduced and developed by M.I. Knopp and S.Y. Husseini. In particular, we show that the set of Eichler integrals, which have polynomial period functions, is the same as the set of holomorphic parts of harmonic weak Maass forms of which the non-holomorphic parts are certain period integrals of cusp forms. From this we deduce relations among period functions for harmonic weak Maass forms.
Keywords :
period function , Eichler integral , Period polynomial , Harmonic weak Maass form
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2014
Link To Document :
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