Critical points of the Eisenstein series for the Fricke group of level 2

In this paper, we study the distribution of critical points — that is, zeros of the derivative — of the Eisenstein series for the Fricke group of level two, providing an analog of the result of Gun and Oesterlé [Critical points of Eisenstein series, Mathematika 68(1) (2022) 259–298, https://doi.org/10.1112/mtk.12124 ].

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Publication Details

Journal
International Journal of Number Theory
Published
2025-10-08
DOI
https://doi.org/10.1142/s1793042126500296
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

Critical points of the Eisenstein series for the Fricke group of level 2

Naoki Sugibayashi
International Journal of Number Theory
Advanced Algebra and Geometry
article

Critical points of the Eisenstein series for the Fricke group of level 2

Naoki Sugibayashi
article en

Abstract

In this paper, we study the distribution of critical points — that is, zeros of the derivative — of the Eisenstein series for the Fricke group of level two, providing an analog of the result of Gun and Oesterlé [Critical points of Eisenstein series, Mathematika 68(1) (2022) 259–298, https://doi.org/10.1112/mtk.12124 ].

International Journal of Number TheoryVol. 22(03)
Kyushu University (JP)
Openalex Percentile: Top 65%
Advanced Algebra and Geometry
DOISourceOpenAlex
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Critical points of the Eisenstein series for the Fricke group of level 2 — Naoki Sugibayashi · International Journal of Number Theory (2025) | TGRS Research Map | TGRS