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http://arks.princeton.edu/ark:/88435/dsp016682x689pFull metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Zhang, Shouwu | - |
| dc.contributor.author | Qiu, Congling | - |
| dc.contributor.other | Mathematics Department | - |
| dc.date.accessioned | 2020-07-13T03:33:05Z | - |
| dc.date.available | 2020-07-13T03:33:05Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp016682x689p | - |
| dc.description.abstract | We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It is an explicit formula which relates the Néron-Tate heights of CM points on abelian varieties and central derivatives of associated quadratic base change L-functions. Our proof is based on an arithmetic variant of a relative trace identity of Jacquet. This approach is proposed by W. Zhang. As a byproduct, we prove the Waldspurger formula over global function fields | - |
| dc.language.iso | en | - |
| dc.publisher | Princeton, NJ : Princeton University | - |
| dc.relation.isformatof | The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: <a href=http://catalog.princeton.edu> catalog.princeton.edu </a> | - |
| dc.subject.classification | Mathematics | - |
| dc.title | The Gross-Zagier-Zhang formula over function fields | - |
| dc.type | Academic dissertations (Ph.D.) | - |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Qiu_princeton_0181D_13372.pdf | 1.51 MB | Adobe PDF | View/Download |
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