Explicit Gross-Zagier and waldspurger formulae

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Abstract

We give an explicit Gross-Zagier formula which relates the height of an explicitly constructed Heegner point to the derivative central value of a Rankin L-series. An explicit form of the Waldspurger formula is also given.

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Cai, L., Shu, J., & Tian, Y. (2014). Explicit Gross-Zagier and waldspurger formulae. Algebra and Number Theory, 8(10), 2523–2572. https://doi.org/10.2140/ant.2014.8.2523

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