On p-adic analytic continuation with applications to generating elements

DOI10.1017/S0013091514000376zbMath1335.12007MaRDI QIDQ5743616

Victor Alexandru, Alexandru Zaharescu, Marian Vâjâitu

Publication date: 5 February 2016

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Galois group\(p\)-adic analytic functionsgenerating elements

Mathematics Subject Classification ID

Galois theory (11S20) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25)

Related Items

Continuous automorphisms of transcendental closed subfields of \(\mathbb {C}_p\) ⋮ Galois equivariant functions on Galois orbits in large \(p\)-adic fields ⋮ On the zeros and singularities of p−adic trace functions

Cites Work

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• Integral basis of the field \(\mathbb Q(\root n\of a)\)
• Construction of integral basis. II
• Construction of integral basis. I
• Construction of integral basis. III
• Construction of integral basis. IV
• Completions of r.a.t.-valued fields of rational functions
• On the closed subfields of \(C_p\)
• Metric invariants over Henselian valued fields.
• Rigid analytic geometry and its applications
• On the structure of the irreducible polynomials over local fields
• Generating elements for \(B_{dR}^+\)
• On saturated distinguished chains over a local field
• On automorphisms of local fields
• Zeros of polynomials over local fields. The Galois action
• On saturated distinguished chains over a local field. II
• The Generating Degree of ℂ_p
• On Construction of Saturated Distinguished Chains
• Chains of metric invariants over a local field
• ON SATURATED DISTINGUISHED CHAINS OVER A LOCAL FIELD III: The Case of p-Extensions with Two Proper Higher Ramification Groups
• Trace on \(\mathbb{C}_p\)