On the Zeros of the Eisenstein Series
نویسنده
چکیده
We locate almost all the zeros of the Eisenstein series associated with the Fricke groups of level 5 and 7 in their fundamental domains by applying and extending the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (1970). We also use the arguments of some terms of the Eisenstein series in order to improve existing error bounds.
منابع مشابه
A Detailed Note on the Zeros of Eisenstein
The present paper is a detailed paper for the paper “On the zeros of Eisenstein series for Γ0(5) and Γ ∗ 0(7).” We locate almost all the zeros of the Eisenstein series associated with the Fricke groups Γ0(5) and Γ ∗ 0(7) in their fundamental domains by applying and expanding the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (“On the zeros of Eisenstein series”, 1970). We also use the a...
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تاریخ انتشار 2007