Gross-Stark units and \(p\)-adic iterated integrals attached to modular forms of weight one

DOI10.1007/s40316-015-0042-6zbMath1417.11115OpenAlexW2200985995MaRDI QIDQ317525

Victor Rotger, Henri Darmon, Alan G. B. Lauder

Publication date: 30 September 2016

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-015-0042-6

zbMATH Keywords

Eisenstein series\(p\)-adic modular forms\(p\)-adic iterated integralsGross-Stark units

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Elliptic and modular units (11G16)

Related Items (7)

Generalized Kato classes and exceptional zero conjectures ⋮ A computation of modular forms of weight one and small level ⋮ Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture ⋮ \(\mathscr{L}\)-invariants of Artin motives ⋮ Beilinson-Flach elements, Stark units and \(p\)-adic iterated integrals ⋮ Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form ⋮ On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the eigencurve at classical weight 1 points
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Arguments for the Stark units and periods of Eisenstein series
• On the factorization of p-adic L-series
• \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
• \(p\)-adic interpolation of real analytic Eisenstein series
• Kato's Euler system and rational points on elliptic curves. I: A \(p\)-adic Beilinson formula
• Efficient calculation of Stark-Heegner points via overconvergent modular symbols
• Elliptic units for real quadratic fields
• Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
• Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions
• STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
• The Cuspidal Group and Special Values of L-Functions
• Formes modulaires de poids $1$
• Beilinson-Flach elements and Euler systems I: Syntomic regulators and 𝑝-adic Rankin 𝐿-series
• Beilinson-Flach elements and Euler systems II: The Birch-Swinnerton-Dyer conjecture for Hasse-Weil-Artin 𝐿-series
• Efficient Computation of Rankin p-Adic L-Functions
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.

This page was built for publication: Gross-Stark units and \(p\)-adic iterated integrals attached to modular forms of weight one