Artículo
Ryan, N.C.; Sirolli, N.; Skoruppa, N.-P.; Tornaría, G. "Computing Jacobi forms" (2016) LMS Journal of Computation and Mathematics. 19(A):205-219
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Abstract:
We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is based on formulas derived by one of the authors which express Jacobi forms in terms of modular symbols of elliptic modular forms. Since this method allows a Jacobi eigenform to be generated directly from a given modular eigensymbol without reference to the whole ambient space of Jacobi forms, it makes it possible to compute Jacobi Hecke eigenforms of large index. We illustrate our method with several examples. © The Author(s) 2016.
Registro:
| Documento: | Artículo |
| Título: | Computing Jacobi forms |
| Autor: | Ryan, N.C.; Sirolli, N.; Skoruppa, N.-P.; Tornaría, G. |
| Filiación: | Department of Mathematics, Bucknell University, Lewisburg, PA 17387, United States Universidad de la República, Montevideo, Uruguay Departamento de Matemática, Ciudad Universitaria, Pabellón i, Buenos Aires, C1428EGA, Argentina Universität Siegen, Department Mathematik, Siegen, 57068, Germany Centro de Matemática, Facultad de Ciencias, Iguá 4225, Montevideo, 11400, Uruguay |
| Año: | 2016 |
| Volumen: | 19 |
| Número: | A |
| Página de inicio: | 205 |
| Página de fin: | 219 |
| DOI: | http://dx.doi.org/10.1112/S1461157016000346 |
| Título revista: | LMS Journal of Computation and Mathematics |
| Título revista abreviado: | LMS J.Comput.Math. |
| ISSN: | 14611570 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14611570_v19_nA_p205_Ryan |
Referencias:
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Citas:
---------- APA ----------
Ryan, N.C., Sirolli, N., Skoruppa, N.-P. & Tornaría, G. (2016) . Computing Jacobi forms. LMS Journal of Computation and Mathematics, 19(A), 205-219.http://dx.doi.org/10.1112/S1461157016000346
---------- CHICAGO ----------
Ryan, N.C., Sirolli, N., Skoruppa, N.-P., Tornaría, G. "Computing Jacobi forms" . LMS Journal of Computation and Mathematics 19, no. A (2016) : 205-219.http://dx.doi.org/10.1112/S1461157016000346
---------- MLA ----------
Ryan, N.C., Sirolli, N., Skoruppa, N.-P., Tornaría, G. "Computing Jacobi forms" . LMS Journal of Computation and Mathematics, vol. 19, no. A, 2016, pp. 205-219.http://dx.doi.org/10.1112/S1461157016000346
---------- VANCOUVER ----------
Ryan, N.C., Sirolli, N., Skoruppa, N.-P., Tornaría, G. Computing Jacobi forms. LMS J.Comput.Math. 2016;19(A):205-219.http://dx.doi.org/10.1112/S1461157016000346
