Modular \(p\)-adic \(L\)-functions attached to real quadratic fields and arithmetic applications

DOI10.1515/crelle-2014-0088zbMath1368.11052OpenAlexW2328973974MaRDI QIDQ346748

Shahab Shahabi, Marco Adamo Seveso, Matthew Greenberg

Publication date: 30 November 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2014-0088

zbMATH Keywords

\(p\)-adic \(L\)-functionsHeegner cyclesDarmon cyclesMazur-Kitagawa factors

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Zeta functions and (L)-functions (11S40)

Related Items

\(p\)-adic families of modular forms and \(p\)-adic Abel-Jacobi maps ⋮ Kohnen’s formula and a conjecture of Darmon and Tornaría ⋮ Darmon cycles and the Kohnen-Shintani lifting ⋮ Rationality of Darmon points over genus fields of non-maximal orders ⋮ Dirac operators in tensor categories and the motive of quaternionic modular forms ⋮ Stark–Heegner cycles attached to Bianchi modular forms ⋮ The \(p\)-adic variation of the Gross-Kohnen-Zagier theorem

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