Uniformizer of the false Tate curve extension of ℚp (II)

DOI10.1142/s1793042124500015arXiv2301.09135OpenAlexW4385606512MaRDI QIDQ6186041

Shan Wen Wang, Yijun Yuan

Publication date: 9 January 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09135

zbMATH Keywords

\(p\)-adic Mal'cev-Neumann fieldexplicit uniformizerfalse Tate curve extension of \(\mathbb{Q}_p\)MacLane's valuation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Partitions; congruences and congruential restrictions (11P83) Algebraic number theory computations (11Y40) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Polynomials (11S05)

Cites Work

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• Maximally complete fields
• The Magma algebra system. I: The user language
• Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\)
• A construction for prime ideals as absolute values of an algebraic field
• Introduction to Berkovich Analytic Spaces
• A Construction for Absolute Values in Polynomial Rings

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