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

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概要

• 論文の詳細を見る

• We locate all of the zeros of the Eisenstein series associated with the Fricke groups $\Gamma_0^{*}(2)$ and $\Gamma_0^{*}(3)$ 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)

• 2007-07-01

著者

• Nozaki Hiroshi

  Graduate School Of Mathematics Kyushu University

• Miezaki Tsuyoshi

  Faculty Of Mathematics Kyushu University

• Miezaki Tsuyoshi

  Graduate School Of Mathematics Kyushu University

• Shigezumi Junichi

  Graduate School Of Mathematics Kyushu University

関連論文

• ON THE ZEROS OF EISENSTEIN SERIES ASSOCIATED WITH $\Gamma_0^\ast(2)$, $\Gamma_0^\ast(3)$ AND SOME GROUPS(Algebraic combinatorics and the related areas of research)
• ON THE ZEROS OF HECKE-TYPE FABER POLYNOMIALS
• Toy models for D. H. Lehmer's conjecture
• On the zeros of Eisenstein series for $\Gamma_0^{*}(2)$ and $\Gamma_0^{*}(3)$

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