On the zeros of certain Poincaré series for $\Gamma^{*}_{0}(2)$ and $\Gamma^{*}_{0}(3)$

Shigezumi, Junichi

Osaka J. Math., Tome 47 (2010) no. 1, p. 487-505 / Harvested from Project Euclid

Résumé

We determine the location of all of the zeros of certain Poincaré series associated with the Fricke groups $\Gamma_{0}^{*}(2)$ and $\Gamma_{0}^{*}(3)$ in their fundamental domains by applying and extending the method of F.K.C. Rankin and H.P.F. Swinnerton-Dyer ([9]).

Publié le : 2010-06-15
Classification: 11F11

@article{1277298914,
     author = {Shigezumi, Junichi},
     title = {On the zeros of certain Poincar\'e series for $\Gamma^{*}\_{0}(2)$ and $\Gamma^{*}\_{0}(3)$},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 487-505},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277298914}
}

Shigezumi, Junichi. On the zeros of certain Poincaré series for $\Gamma^{*}_{0}(2)$ and $\Gamma^{*}_{0}(3)$. Osaka J. Math., Tome 47 (2010) no. 1, pp.  487-505. http://gdmltest.u-ga.fr/item/1277298914/