GROSS-ZAGIER FORMULA FOR GL2

By Shou-wu Zhang. 2001

185 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/36027c50902fdf5e3172a1b94aa23c57d83775f1

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Citations in the corpus

STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE (2015, methodology): “The Gross-Zagier formula and its extension to ring class characters given in [Zh] shows that the”
Special values of anticyclotomic $L$-functions (2003, methodology): “On the other hand, the Gross-Zagier formula has recently been generalized by Zhang to give a formula for L ′ (g , χ, 1), if χ is a ramified character satisfying some very mild conditions (see [Zha01] for a very general statement, valid for automorphic forms over totally real fields).”
On arithmetic fundamental lemmas (2012, background): “Ever since the publication of [10], it has inspired a large amount of works in number theory (for example, [18, 25, 26, 30, 31], etc.”
Automorphic period and the central value of Rankin--Selberg L-function (2012, background): “Zhang ([16], [45],[46],[43]) play an important role in the spectacular development in application to the Birch and Swinnerton-Dyer conjecture for elliptic curves in the past thirty years.”
Gross-Zagier Formula for GL(2), II (2004, methodology): “This is the main result in our Asia Journal paper [16].”
Iwasawa theory of Heegner points on abelian varieties of GL2 type (2004, background): “In Section 1 we summarize some of the work of Shimura and Zhang, closely following [25] and [26], to which we refer the reader for proofs.”
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.”
Central L-Values and Toric Periods for GL(2) (2009, methodology): “These results use, respectively, the explicit central-value formulas in [27] and [19] when F = Q and E/F is imaginary quadratic and real quadratic.”