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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp016682x689p
 Title: The Gross-Zagier-Zhang formula over function fields Authors: Qiu, Congling Advisors: Zhang, Shouwu Contributors: Mathematics Department Subjects: Mathematics Issue Date: 2020 Publisher: Princeton, NJ : Princeton University 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 URI: http://arks.princeton.edu/ark:/88435/dsp016682x689p Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: catalog.princeton.edu Type of Material: Academic dissertations (Ph.D.) Language: en Appears in Collections: Mathematics

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