On the derivative of anticyclotomic p-adic L-functions for Hilbert modular forms

DOI10.1142/S1793042118500379zbMath1440.11221MaRDI QIDQ4609563

Pin-Chi Hung

Publication date: 4 April 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curve\(p\)-adic \(L\)-functionexceptional zero conjecture

Mathematics Subject Classification ID

Zeta functions and (L)-functions (11S40)

Related Items (4)

Integral period relations and congruences ⋮ Anticyclotomic 𝑝-adic 𝐿-functions and the exceptional zero phenomenon ⋮ On the \(p\)-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields ⋮ The universal \(p\)-adic Gross-Zagier formula

Cites Work

• Unnamed Item
• On Teitelbaum type \(\mathcal{L}\)-invariants of Hilbert modular forms attached to definite quaternions
• Explicit Gross-Zagier and Waldspurger formulae
• Heegner points and \(p\)-adic \(L\)-functions for elliptic curves over certain totally real fields
• On the non-vanishing mod \(\ell\) of central \(L\)-values with anticyclotomic twists for Hilbert modular forms
• Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
• Hida families and rational points on elliptic curves
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Arithmétique des algèbres de quaternions
• Derivatives of \(p\)-adic \(L\)-functions, Heegner cycles and monodromy modules attached to modular forms
• Special values of anticyclotomic \(L\)-functions for modular forms
• A proof of the Mahler-Manin conjecture
• \(p\)-adic periods, \(p\)-adic \(L\)-functions, and the \(p\)-adic uniformization of Shimura curves.
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• Elliptic curves over real quadratic fields are modular
• Teitelbaum's exceptional zero conjecture in the anticyclotomic setting
• Heegner points on Mumford-Tate curves

This page was built for publication: On the derivative of anticyclotomic p-adic L-functions for Hilbert modular forms