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Conference Paper: Central L-values of elliptic curves, Tunnell's Theorem, and locally harmonic Maass forms
| Title | Central L-values of elliptic curves, Tunnell's Theorem, and locally harmonic Maass forms |
|---|---|
| Authors | |
| Issue Date | 2018 |
| Publisher | The Institute of Mathematical Research, Mathematics Department, The University of Hong Kong. |
| Citation | 2018 HKU Number Theory Days, Hong Kong, 16-23 July 2018 How to Cite? |
| Abstract | In this talk, we will discuss a way to study the vanishing of central L-values of elliptic curves via locally harmonic Maass forms. In particular, we will discuss some combinatorial applications, such as an alternative formula for Tunnell's resolution of the congruent number problem (assuming BSD) and for representations of primes as the sum of two cubes. This talk is based on joint work with Stephan Ehlen, Pavel Guerzhoy, and Larry Rolen. |
| Persistent Identifier | http://hdl.handle.net/10722/267952 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2019-03-08T07:22:37Z | - |
| dc.date.available | 2019-03-08T07:22:37Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | 2018 HKU Number Theory Days, Hong Kong, 16-23 July 2018 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/267952 | - |
| dc.description.abstract | In this talk, we will discuss a way to study the vanishing of central L-values of elliptic curves via locally harmonic Maass forms. In particular, we will discuss some combinatorial applications, such as an alternative formula for Tunnell's resolution of the congruent number problem (assuming BSD) and for representations of primes as the sum of two cubes. This talk is based on joint work with Stephan Ehlen, Pavel Guerzhoy, and Larry Rolen. | - |
| dc.language | eng | - |
| dc.publisher | The Institute of Mathematical Research, Mathematics Department, The University of Hong Kong. | - |
| dc.relation.ispartof | HKU Number Theory Days 2018 | - |
| dc.title | Central L-values of elliptic curves, Tunnell's Theorem, and locally harmonic Maass forms | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Kane, BR: bkane@hku.hk | - |
| dc.identifier.authority | Kane, BR=rp01820 | - |
| dc.identifier.hkuros | 286530 | - |
| dc.publisher.place | Hong Kong | - |