On the zeros of Eisenstein series for Γ*0(2) and Γ*0(3)

Tsuyoshi Miezaki, Hiroshi Nozaki, Junichi Shigezumi

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

We locate all of the zeros of the Eisenstein series associated with the Fricke groups Γ*0(2) and Γ*0(3) 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).

Original languageEnglish
Pages (from-to)693-706
Number of pages14
JournalJournal of the Mathematical Society of Japan
Volume59
Issue number3
DOIs
Publication statusPublished - 2007 Jul
Externally publishedYes

Keywords

  • Eisenstein series
  • Fricke group
  • Locating zeros
  • Modular forms

ASJC Scopus subject areas

  • Mathematics(all)

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