Zeros of the combination of the Eisenstein series for \(\Gamma_0^+ (2)\) (Q6536861)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Zeros of the combination of the Eisenstein series for \(\Gamma_0^+ (2)\) |
scientific article; zbMATH DE number 7846619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros of the combination of the Eisenstein series for \(\Gamma_0^+ (2)\) |
scientific article; zbMATH DE number 7846619 |
Statements
Zeros of the combination of the Eisenstein series for \(\Gamma_0^+ (2)\) (English)
0 references
14 May 2024
0 references
The location of the zeros of the Eisenstein series is an important problem and many papers have been written on this topic for decades. In the paper under review, the authors prove that all zeros of some combination of the Eisenstein series for the Fricke group \(\Gamma_0^+(2)\) for the fundamental domain \(\mathfrak{F^+}\) lie on the arc boundary of \(\mathfrak{F^+}\). The proof is based on results by Klangwang, Rankin and Swinnerton-Dyer and some counting methods.
0 references
Eisenstein series
0 references
Hecke group
0 references
Fricke group
0 references
0 references
0 references
0 references
