File Download
There are no files associated with this item.
Supplementary
-
Citations:
- Appears in Collections:
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 | 2018 |
| Citation | International conference on class groups of number fields and related topics, Allahabad, India, 8-11 October 2018 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 positive-definite 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. |
| Description | Invited Talk - Venue: Harish-Chandra Research Institute - Second program in the series `International conference on class groups of number fields and related topics' |
| Persistent Identifier | http://hdl.handle.net/10722/268818 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2019-04-02T01:43:25Z | - |
| dc.date.available | 2019-04-02T01:43:25Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | International conference on class groups of number fields and related topics, Allahabad, India, 8-11 October 2018 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/268818 | - |
| dc.description | Invited Talk - Venue: Harish-Chandra Research Institute - Second program in the series `International conference on class groups of number fields and related topics' | - |
| 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 positive-definite 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 | International conference on class groups of number fields and related topics | - |
| 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.identifier.hkuros | 296089 | - |