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Conference Paper: An algebraic approach to the Siegel-Weil average for binary quadratic forms
| Title | An algebraic approach to the Siegel-Weil average for binary quadratic forms |
|---|---|
| Authors | |
| Issue Date | 2019 |
| Citation | Conference on the Arithmetic Theory of Quadratic Forms, Seoul National University, South Korea, 7-11 January 2019 How to Cite? |
| Abstract | In this talk, we will consider the celebrated results of Siegel and Weil about the number of representations by the genus of a given positivedefinite integral quadratic form. By restricting to the (very special) case of binary quadratic forms representing integers and investigating the question via the associated algebraic theory of quadratic fields and Gauss’s composition law, we obtain a new proof that these are coefficients of certain Eisenstein series and obtain nice explicit formulas for their evaluations. This is based on joint work with Pavel Guerzhoy. |
| Persistent Identifier | http://hdl.handle.net/10722/268076 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2019-03-14T02:49:37Z | - |
| dc.date.available | 2019-03-14T02:49:37Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | Conference on the Arithmetic Theory of Quadratic Forms, Seoul National University, South Korea, 7-11 January 2019 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/268076 | - |
| dc.description.abstract | In this talk, we will consider the celebrated results of Siegel and Weil about the number of representations by the genus of a given positivedefinite integral quadratic form. By restricting to the (very special) case of binary quadratic forms representing integers and investigating the question via the associated algebraic theory of quadratic fields and Gauss’s composition law, we obtain a new proof that these are coefficients of certain Eisenstein series and obtain nice explicit formulas for their evaluations. This is based on joint work with Pavel Guerzhoy. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Conference on the Arithmetic Theory of Quadratic Forms | - |
| dc.title | An algebraic approach to the Siegel-Weil average for binary quadratic forms | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Kane, BR: bkane@hku.hk | - |
| dc.identifier.authority | Kane, BR=rp01820 | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.hkuros | 296677 | - |