Trivial Zeros of $p$-adic $L$-Functions at Near-Central Points
Langue
en
Article de revue
Ce document a été publié dans
Journal of the Institute of Mathematics of Jussieu. 2014-07-01, vol. 13, n° 3, p. 561-598
Cambridge University Press (CUP)
Résumé en anglais
Using the L-invariant constructed in our previous paper we prove a Mazur-Tate-Teitelbaum-style formula for derivatives of p-adic L-functions of modular forms at trivial zeros. The novelty of this result is to cover the ...Lire la suite >
Using the L-invariant constructed in our previous paper we prove a Mazur-Tate-Teitelbaum-style formula for derivatives of p-adic L-functions of modular forms at trivial zeros. The novelty of this result is to cover the near-central point case. In the central point case our formula coincides with the Mazur-Tate-Teitelbaum conjecture proved by Greenberg and Stevens and by Kato, Kurihara and Tsuji at the end of the 1990s.< Réduire
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