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  1. No Access

    Chapter and Conference Paper

    Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture

    We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence–Venkatesh and Kim. The latter method, which is usually called the method of Chabau...

    J. S. Balakrishnan, A. J. Best, F. Bianchi… in Arithmetic L-Functions and Differential Ge… (2021)

  2. No Access

    Chapter and Conference Paper

    Shadow Lines in the Arithmetic of Elliptic Curves

    Let \(E/\mathbb{Q}\) be an elliptic curve and p a rational prime of good ordinary reduction. For every imaginary quadratic fi...

    J. S. Balakrishnan, M. Çiperiani, J. Lang, B. Mirza… in Directions in Number Theory (2016)