English

On the zeros of Eisenstein series for $\Gamma_0^* (2)$ and $\Gamma_0^* (3)$

Number Theory 2009-05-20 v1

Abstract

We locate all of the zeros of the Eisenstein series associated with the Fricke groups Γ0(2)\Gamma_0^{*}(2) and Γ0(3)\Gamma_0^{*}(3) in their fundamental domains by applying and expanding the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (``{\it On the zeros of Eisenstein series}'', 1970).

Keywords

Cite

@article{arxiv.math/0607408,
  title  = {On the zeros of Eisenstein series for $\Gamma_0^* (2)$ and $\Gamma_0^* (3)$},
  author = {Tsuyoshi Miezaki and Hiroshi Nozaki and Junichi Shigezumi},
  journal= {arXiv preprint arXiv:math/0607408},
  year   = {2009}
}

Comments

9 pages, no figure