Transformation laws for generalized Dedekind sums associated to Fuchsian groups
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2019
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912156921888768 |
|---|---|
| author | Burrin, Claire Jorgenson, Jay O'Sullivan, Cormac Smajlović, Lejla |
| author_facet | Burrin, Claire Jorgenson, Jay O'Sullivan, Cormac Smajlović, Lejla |
| contents | We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. These results apply to general Fuchsian groups of the first kind, and examples are provided in the cases of the Hecke triangle groups, the Hecke congruence groups $Γ_0(N)$, and the non-congruence arithmetic groups $Γ_0(N)^+$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_11333 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Transformation laws for generalized Dedekind sums associated to Fuchsian groups Burrin, Claire Jorgenson, Jay O'Sullivan, Cormac Smajlović, Lejla Number Theory 11F20, 30F35 We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. These results apply to general Fuchsian groups of the first kind, and examples are provided in the cases of the Hecke triangle groups, the Hecke congruence groups $Γ_0(N)$, and the non-congruence arithmetic groups $Γ_0(N)^+$. |
| title | Transformation laws for generalized Dedekind sums associated to Fuchsian groups |
| topic | Number Theory 11F20, 30F35 |
| url | https://arxiv.org/abs/1904.11333 |