Geodesic
Elliptic Zeta Functions and Equivariant Functions
Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 376-389

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DOI

In this paper we establish a close connection between three notions attached to a modular subgroup, namely, the set of weight two meromorphic modular forms, the set of equivariant functions on the upper half-plane commuting with the action of the modular subgroup, and the set of elliptic zeta functions generalizing the Weierstrass zeta functions. In particular, we show that the equivariant functions can be parameterized by modular objects as well as by elliptic objects.
DOI : 10.4153/CMB-2017-034-7
Mots-clés : 11F12, 35Q15, 32L10, modular form, equivariant function, elliptic zeta function 
Sebbar, Abdellah; Al-Shbeil, Isra. Elliptic Zeta Functions and Equivariant Functions. Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 376-389. doi: 10.4153/CMB-2017-034-7
@article{10_4153_CMB_2017_034_7,
     author = {Sebbar, Abdellah and Al-Shbeil, Isra},
     title = {Elliptic {Zeta} {Functions} and {Equivariant} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {376--389},
     year = {2018},
     volume = {61},
     number = {2},
     doi = {10.4153/CMB-2017-034-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-034-7/}
}
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