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Conference Paper: Sums of class numbers and mixed mock modular forms
| Title | Sums of class numbers and mixed mock modular forms |
|---|---|
| Authors | |
| Issue Date | 2017 |
| Citation | International Conference on Class Groups of Number Fields and Related Topics (ICCGNFRT), Harish-Chandra Research Institute, Allahabad, India, 4-7 September 2017 How to Cite? |
| Abstract | In this talk, we discuss Hurwitz class numbers of integral binary quadratic forms of negative discriminant. The generating function for these is a certain modular object now known as a mock modular form and sums of these turn out to be coefficients of what are now known as mixed mock modular forms. Using the theory of mixed mock modular forms, we obtain explicit formulas for sums of class numbers, proving a conjecture of Brown, Calkin, Flowers, James, Smith, and Stout. This is based on joint work with Kathrin Bringmann. |
| Description | Invited Talk |
| Persistent Identifier | http://hdl.handle.net/10722/252829 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2018-05-08T01:59:39Z | - |
| dc.date.available | 2018-05-08T01:59:39Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | International Conference on Class Groups of Number Fields and Related Topics (ICCGNFRT), Harish-Chandra Research Institute, Allahabad, India, 4-7 September 2017 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/252829 | - |
| dc.description | Invited Talk | - |
| dc.description.abstract | In this talk, we discuss Hurwitz class numbers of integral binary quadratic forms of negative discriminant. The generating function for these is a certain modular object now known as a mock modular form and sums of these turn out to be coefficients of what are now known as mixed mock modular forms. Using the theory of mixed mock modular forms, we obtain explicit formulas for sums of class numbers, proving a conjecture of Brown, Calkin, Flowers, James, Smith, and Stout. This is based on joint work with Kathrin Bringmann. | - |
| dc.language | eng | - |
| dc.relation.ispartof | International Conference on Class Groups of Number Fields & Related Topics (ICCGNFRT) | - |
| dc.title | Sums of class numbers and mixed mock modular forms | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Kane, BR: bkane@hku.hk | - |
| dc.identifier.authority | Kane, BR=rp01820 | - |
| dc.identifier.hkuros | 281048 | - |