Now showing items 1-4 of 4

    • On the elliptic Stark conjecture at primes of multiplicative reduction 

      Casazza, Daniele; Rotger Cerdà, Víctor (2019-01-01)
      Article
      Open Access
      In [DLR], Darmon, Lauder, and Rotger formulated a p-adic elliptic Stark conjecture for the twist of an elliptic curve E/Q by the self-dual tensor product ¿ ¿ of two odd and two-dimensional Artin representations. These ...
    • p-adic families of d-th Shintani liftings 

      Casazza, Daniele; Vera Piquero, Carlos de (2019-12-11)
      External research report
      Open Access
      In this note we give a detailed construction of a Lambda-adic d-th Shintani lifting. We derive a p-adic version of Kohnen's formula relating Fourier coefficients of half-integral weight modular forms and special values of ...
    • Stark points and the Hida-Rankin p-adic L-function 

      Casazza, Daniele; Rotger Cerdà, Víctor (2018-02)
      Article
      Open Access
      This article is devoted to the elliptic Stark conjecture formulated by Darmon (Forum Math Pi 3:e8, 2015), which proposes a formula for the transcendental part of a p-adic avatar of the leading term at s=1 of the Hasse–Weil–Artin ...
    • Stark-Heegner points and p-adic L-functions 

      Casazza, Daniele (Universitat Politècnica de Catalunya, 2016-10-28)
      Doctoral thesis
      Open Access
      Covenantee:   Université de Bordeaux
      Let K|Q be a number field and let Z(K,s) be its associated complex L-function. The analytic class number formula relates special values of Z(K,s) with algebraic invariants of the field K itself. It admits a Galois equivariant ...