4.2 Article

Explicit Gross-Zagier and Waldspurger formulae

Journal

ALGEBRA & NUMBER THEORY
Volume 8, Issue 10, Pages 2523-2572

Publisher

MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/ant.2014.8.2523

Keywords

Gross-Zagier formula; Waldspurger formula; Heegner points; periods

Categories

Funding

  1. China Postdoctoral Science Foundation [2014T70067]
  2. NSFC [11325106, 11321101]

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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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