Quantum modular forms and Hecke operators
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2017
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| _version_ | 1866914721636024320 |
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| author | Lee, Seewoo |
| author_facet | Lee, Seewoo |
| contents | It is known that there is an one-to-one correspondence among the space of cusp forms, the space of homogeneous period polynomials and the space of Dedekind symbols with polynomial reciprocity laws. We add one more space, the space of quantum modular forms with polynomial period functions, to extend results from Fukuhara. Also, we consider Hecke operators on the space of quantum modular forms and construct new quantum modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_05824 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Quantum modular forms and Hecke operators Lee, Seewoo Number Theory 11F11, 11F20 It is known that there is an one-to-one correspondence among the space of cusp forms, the space of homogeneous period polynomials and the space of Dedekind symbols with polynomial reciprocity laws. We add one more space, the space of quantum modular forms with polynomial period functions, to extend results from Fukuhara. Also, we consider Hecke operators on the space of quantum modular forms and construct new quantum modular forms. |
| title | Quantum modular forms and Hecke operators |
| topic | Number Theory 11F11, 11F20 |
| url | https://arxiv.org/abs/1706.05824 |