Stark points and the Hida-Rankin \(p\)-adic \(L\)-function

DOI10.1007/s11139-016-9824-yzbMath1433.11071arXiv1802.08450OpenAlexW3105671792MaRDI QIDQ682012

Victor Rotger, Daniele Casazza

Publication date: 13 February 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08450

zbMATH Keywords

elliptic curvesspecial values\(p\)-adic modular formsBirch and Swinnerton-Dyer conjectureelliptic units

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Elliptic and modular units (11G16)

Related Items (2)

On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the eigencurve at classical weight 1 points
• \(p\)-adic \(L\)-functions for CM fields
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Serre's modularity conjecture. I
• Heegner points and derivatives of \(L\)-series
• Congruences of cusp forms and special values of their zeta functions
• On the factorization of p-adic L-series
• \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication
• \(p\)-adic interpolation of real analytic Eisenstein series
• \(p\)-adic Rankin \(L\)-series and rational points on CM elliptic curves
• Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
• 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
• Über die Berechnung der Skalarprodukte ganzer Modulformen
• 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
• Computations with classical and p-adic modular forms
• STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
• The special values of the zeta functions associated with cusp forms
• 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
• Binary theta series and modular forms with complex multiplication
• Efficient Computation of Rankin p-Adic L-Functions
• Root numbers of non-abelian twists of elliptic curves

This page was built for publication: Stark points and the Hida-Rankin \(p\)-adic \(L\)-function