Enviar artigo por via de e-mail Eisenstein Formula and Dirichlet Correspondence
- Autores: Artyushin D.A.1, Smirnov A.L.2
-
Afiliações:
- St. Petersburg State University
- St. Petersburg Department of the Steklov Mathematical Institute
- Edição: Volume 242, Nº 4 (2019)
- Páginas: 470-486
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242994
- DOI: https://doi.org/10.1007/s10958-019-04491-8
- ID: 242994
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
In the paper, an exact formula for the number of integral points in the system of ellipses related, according to Dirichlet, to an arbitrary imaginary quadratic field is provided. The relation of this formula to an arithmetic Riemann–Roch theorem is discussed. Previously, only nine formulas of such a type have been known. They correspond to the imaginary quadratic fields with the trivial class group.
Sobre autores
D. Artyushin
St. Petersburg State University
Autor responsável pela correspondência
Email: artyushinden@gmail.com
Rússia, St. Petersburg
A. Smirnov
St. Petersburg Department of the Steklov Mathematical Institute
Email: artyushinden@gmail.com
Rússia, St. Petersburg
Arquivos suplementares
