Explicit Gross–Zagier and Waldspurger formulae

Li Cai; Jie Shu; Ye Tian

doi:10.2140/ant.2014.8.2523

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Home > Journals > Algebra Number Theory > Volume 8 > Issue 10 > Article

2014 Explicit Gross–Zagier and Waldspurger formulae

Li Cai, Jie Shu, Ye Tian

Algebra Number Theory 8(10): 2523-2572 (2014). DOI: 10.2140/ant.2014.8.2523

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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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Li Cai. Jie Shu. Ye Tian. "Explicit Gross–Zagier and Waldspurger formulae." Algebra Number Theory 8 (10) 2523 - 2572, 2014. https://doi.org/10.2140/ant.2014.8.2523