Weierstrass zeta functions and \(p\)-adic linear relations

DOI10.1017/S0004972724000091MaRDI QIDQ6666564

Duc Hiep Pham

Publication date: 20 January 2025

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elliptic curveWeierstrass zeta function\(p\)-adic transcendence

Mathematics Subject Classification ID

Algebraic number theory: local fields (11S99) Transcendence theory of elliptic and abelian functions (11J89) Elliptic curves over local fields (11G07)

Cites Work

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• The \(p\)-adic analytic subgroup theorem revisited
• Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
• One-parametric \(p\)-adic subgroups of a group variety
• Sur les fonctions elliptiques \(p\)-adiques.
• Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.
• Well-approximated points on linear extensions of elliptic curves
• The Transcendence of Linear Forms in ω 1 , ω 2 , η 1 , η 2 , 2πi
• Sur l'équation y² = x³ - Ax - B dans les corps p-adiques.

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