On quasi-modular forms, almost holomorphic modular forms, and the vector-valued modular forms of Shimura

被引：0
作者：
Shaul Zemel
机构：
[1] Technische Universität Darmstadt,Fachbereich Mathematik, AG 5
来源：
The Ramanujan Journal | 2015年 / 37卷
关键词：
Modular forms; Quasi-modular forms; Vector-valued modular forms; 11F12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend the relation between quasi-modular forms and modular forms to a wider class of functions. We then relate both forms to vector-valued modular forms with symmetric power representations, and prove a general structure theorem for these vector-valued forms.
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页码：165 / 180
页数：15
相关论文
共 12 条
  • [1] Azaiez NO(2008)The Ring of Quasimodular Forms for a Cocompact Group J. Number Theory 128 1966-1988
  • [2] Eichler M(1957)Eine Verallgemeinerung der Abelschen Integrale Math. Zeitschr. 67 267-298
  • [3] Kuga M(1960)On vector differential forms attached to automorphic forms J. Math. Soc. Jpn. 12 258-270
  • [4] Shimura G(1995)A generalized Jacobi theta function and quasimodular forms. The moduli space of curves (Texel Island, 1994) Progr. Math. 129 165-172
  • [5] Kaneko M(2003)Generalized modular forms J. Number Theory 99 1-28
  • [6] Zagier D(2005)Formes modulaires et périodes, formes modulaires et transcendance Sémin. Congr. Soc. Math. France, Paris 12 1-117
  • [7] Knopp M(1959)Sur les intégrales attachées aux formes automorphes J. Math. Soc. Jpn. 11 291-311
  • [8] Mason G(1961)Sur les intégrales attachées aux formes automorphes (d’après Goro SHIMURA) Sém. Bourbaki 13 216-undefined
  • [9] Martin F(undefined)undefined undefined undefined undefined-undefined
  • [10] Royer E(undefined)undefined undefined undefined undefined-undefined
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