p-Adic Analogues of the BSD Conjecture and the $$\mathcal {L}$$ -Invariant

DOI10.1007/978-981-13-6664-2_3zbMath1496.11091OpenAlexW2946735015MaRDI QIDQ5038251

Chandrakant Aribam, Narasimha Kumar

Publication date: 30 September 2022

Published in: Mathematical Lectures from Peking University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-13-6664-2_3

zbMATH Keywords

\(p\)-adic \(L\)-functionsBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions (11S40)

Cites Work

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• On the Iwasawa invariants of elliptic curves
• Arithmetic of Weil curves
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• An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• A generalization of Greenberg's <i>L</i>-invariant
• ℒ-invariant of the adjoint Galois representation of modular forms of finite slope
• A formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form
• Elliptic Curves and Arithmetic Invariants

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