Work

Interlacing of zeros of the Eisenstein series for $\varGamma_0^+(2)$

Year: 2025

Type: article

Abstract: We prove that for $a=2,4$, if $k\geq 16$ is an even integer, then the non-trivial zeros of $E_{k}^+$ and $E_{k+a}^+$ for $\Gamma_0^+(2)$ interlace on the arc of the fundamental domain for the Fricke group $\Gamma_0^+(2)$ of level $2$, where $E_{k}^+(z)$ i

Source: Acta Arithmetica

DOI: 10.4064/aa240304-15-1

Authors: SoYoung Choi, Bo-Hae Im

Institutions: Gyeongsang National University, Korea Advanced Institute of Science and Technology

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Research Foundation, National Research Foundation of Korea, Ministry of Science and ICT, South Korea

Award: G295362363