The behaviour of rigid analytic functions around orbits of elements of \(\mathbb C_p\)

DOI10.4171/RSMUP/127-10zbMath1271.11110MaRDI QIDQ442637

Alexandru Zaharescu, Sever Achimescu, Victor Alexandru, Marian Vâjâitu, Nicolae Popescu

Publication date: 3 August 2012

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://rendiconti.math.unipd.it/volumes/vol127.php?lan=english

zbMATH Keywords

local fieldsCauchy transformsrigid analytic functions\(p\)-adic distributions

Mathematics Subject Classification ID

Galois theory (11S20) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Diophantine inequalities (11J25) Algebraic number theory: local fields (11S99)

Related Items (2)

Integral representations and the behavior of Krasner analytic functions around singular points ⋮ On the zeros of Krasner analytic functions

Cites Work

• A representation theorem for a class of rigid analytic functions
• \(p\)-adic \(L\)-functions for CM fields
• The \(p\)-adic measure on the orbit of an element of \(\mathbb{C}_p\)
• Transformation de Cauchy \(p\)-adique et algèbre d'Iwasawa. (\(p\)-adic Cauchy transformation and Iwasawa algebra)
• On the closed subfields of \(C_p\)
• Arithmetic of Weil curves
• Zeros of polynomials over local fields. The Galois action
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