Gross-Zagier Formula for GL(2), II

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L -functions and Galois Representations: Nontriviality of Rankin-Selberg L -functions and CM points (2007, background): “... 1.12 Waldspurger’s theorem does not give a precise formula for the value of L(,, 1/2), and it does not specify a canonical choice of (a test vector in the language of [12]) on which to evaluate the linear functional ‘ . The problem of finding such a test vector and a Gross-Zagier formula relatin”
Central L-Values and Toric Periods for GL(2) (2009, methodology): “is holomorphic of weight 2 and inert prime level, and " is unramified. Then in [ 27 ], Zhang”
Explicit Gross–Zagier and Waldspurger formulae (2014, methodology): “With an approach close to Gross-Zagier’s original one, Shouwu Zhang [43], [44], and [45] obtained explicit formulas with some restrictions on ramification.”
Iwasawa's Main Conjecture for elliptic curves over anticyclotomic Zp-extensions (2005, background): “[ Zh , §1.4]) that the measure µf,K on G∞ satisfies the following”
Equidistribution of CM-points on quaternion Shimura varieties (2005, methodology): “When the conductor c of χ is prime to the relative discriminant d of K, this is proved in [36].”