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The book delves into the Gross-Zagier formula concerning Shimura curves over totally real fields, exploring the relationship between the heights of Heegner points on abelian varieties and L-series derivatives. It highlights new applications of this formula, particularly in the context of the Birch and Swinnerton-Dyer conjecture and Diophantine equations, making it a significant contribution to the field of number theory.
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The Gross-Zagier Formula on Shimura Curves, Xinyi Yuan, Shou-Wu Zhang, Wei Zhang
- Language
- Released
- 2012
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- (Hardcover)
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