Trace on \(\mathbb{C}_p\)

DOI10.1006/JNTH.2000.2610zbMath0965.11049OpenAlexW2017741021WikidataQ105439777 ScholiaQ105439777MaRDI QIDQ5933393

Nicolae Popescu, Victor Alexandru, Alexandru Zaharescu

Publication date: 20 May 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2610

zbMATH Keywords

\(p\)-adic integration\(p\)-adic numberspower series over a local fieldrigid analytic functiontrace map

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Transcendental field extensions (12F20)

Related Items (17)

AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS ⋮ Integral representations and the behavior of Krasner analytic functions around singular points ⋮ Continuous automorphisms of transcendental closed subfields of \(\mathbb {C}_p\) ⋮ Relative spectral norm on algebraic numbers ⋮ Galois equivariant functions on Galois orbits in large \(p\)-adic fields ⋮ Trace series on \(\tilde {\mathbb Q}_k\) ⋮ Representation results for equivariant rigid analytic functions ⋮ On the zeros of Krasner analytic functions ⋮ Analytic normal basis theorem ⋮ The \(p\)-adic measure on the orbit of an element of \(\mathbb{C}_p\) ⋮ On the Iwasawa algebra associated to a normal element of \(\mathbb C_p\) ⋮ On p-adic analytic continuation with applications to generating elements ⋮ A representation theorem for a class of rigid analytic functions ⋮ On the existence of trace for elements of \(\mathbb{C}_p\) ⋮ Generating sets of Galois equivariant Krasner analytic functions ⋮ On the zeros and singularities of p−adic trace functions ⋮ On the norm of Krasner analytic functions with applications to transcendence results

Cites Work

• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• Transformation de Cauchy \(p\)-adique et algèbre d'Iwasawa. (\(p\)-adic Cauchy transformation and Iwasawa algebra)
• Completions of r.a.t.-valued fields of rational functions
• On the closed subfields of \(C_p\)
• On the structure of the irreducible polynomials over local fields
• Completion of r.t. extensions of local fields. I
• Zeros of polynomials over local fields. The Galois action
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