An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves

zbMath1138.11022arXivmath/0610164MaRDI QIDQ2369737

Shin-ichi Kobayashi

Publication date: 20 June 2007

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610164

zbMATH Keywords

Iwasawa theoryelliptic curveMazur-Tate-Teitelbaum conjectureColeman mapexceptional zero\(p\)-adic function \(L\)-functionKato's element

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (p)-adic theory, local fields (11F85) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40) Elliptic curves over local fields (11G07)

Related Items (4)

p-Adic Analogues of the BSD Conjecture and the $$\mathcal {L}$$ -Invariant ⋮ Derivatives of Beilinson-Flach classes, Gross-Stark formulas and a \(p\)-adic Harris-Venkatesh conjecture ⋮ Algorithms for the arithmetic of elliptic curves using Iwasawa theory ⋮ On the \(p\)-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields

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