Shtukas and the Taylor expansion of \(L\)-functions. II

DOI10.4007/annals.2019.189.2.2zbMath1442.11079arXiv1712.08026OpenAlexW3151228875MaRDI QIDQ1732985

Zhiwei Yun, Wei Zhang

Publication date: 26 March 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08026

zbMATH Keywords

\(L\)-functionsGross-Zagier formulaDrinfeld ShtukasWaldspurger formula

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (8)

The Gross-Zagier-Zhang formula over function fields ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ The geometric distribution of Selmer groups of elliptic curves over function fields ⋮ Compactification of level maps of moduli spaces of Drinfeld shtukas ⋮ Higher Siegel-Weil formula for unitary groups: the non-singular terms ⋮ A Gross-Kohnen-Zagier formula for Heegner-Drinfeld cycles ⋮ Product formulas for periods of CM abelian varieties and the function field analog ⋮ Super-positivity of a family of L-functions

Cites Work

• Heegner points and derivatives of \(L\)-series
• Shtukas and the Taylor expansion of \(L\)-functions
• Moduli spaces of principal \(F\)-bundles
• Sur un résultat de Waldspurger
• ELLIPTIC MODULES
• Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
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