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On the Mazur-Tate conjecture for prime conductor and Mazur's Eisenstein ideal

On the Mazur-Tate conjecture for prime conductor and Mazur's Eisenstein ideal

abstract: In 1995, Ehud de Shalit proved an analogue of a conjecture of Mazur-Tate for the modular Jacobian $J_0(p)$. His main result was valid away from the Eisenstein primes. We complete the work of de Shalit by including the Eisenstein primes, and give some applications such as an elementary combinatorial …