The Behavior of Rigid Analytic Functions Around Orbits of Elements of $\mathbb {C}_p$

Achimescu, S.; Alexandru, V.; Popescu, N.; Vâjâitu, M.; Zaharescu, A.

The Behavior of Rigid Analytic Functions Around Orbits of Elements of

ℂ_{p}

Achimescu, S. ; Alexandru, V. ; Popescu, N. ; Vâjâitu, M. ; Zaharescu, A.

Rendiconti del Seminario Matematico della Università di Padova, Tome 127 (2012), pp. 193-212.

MR Zbl

@article{RSMUP_2012__127__193_0,
     author = {Achimescu, S. and Alexandru, V. and Popescu, N. and V\^aj\^aitu, M. and Zaharescu, A.},
     title = {The {Behavior} of {Rigid} {Analytic} {Functions} {Around} {Orbits} of {Elements} of $\mathbb {C}_p$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {193--212},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {127},
     year = {2012},
     mrnumber = {2978005},
     zbl = {1271.11110},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2012__127__193_0/}
}

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AU  - Alexandru, V.
AU  - Popescu, N.
AU  - Vâjâitu, M.
AU  - Zaharescu, A.
TI  - The Behavior of Rigid Analytic Functions Around Orbits of Elements of $\mathbb {C}_p$
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2012
SP  - 193
EP  - 212
VL  - 127
PB  - Seminario Matematico of the University of Padua
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%A Alexandru, V.
%A Popescu, N.
%A Vâjâitu, M.
%A Zaharescu, A.
%T The Behavior of Rigid Analytic Functions Around Orbits of Elements of $\mathbb {C}_p$
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2012
%P 193-212
%V 127
%I Seminario Matematico of the University of Padua
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%G en
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Achimescu, S.; Alexandru, V.; Popescu, N.; Vâjâitu, M.; Zaharescu, A. The Behavior of Rigid Analytic Functions Around Orbits of Elements of $\mathbb {C}_p$. Rendiconti del Seminario Matematico della Università di Padova, Tome 127 (2012), pp. 193-212. http://www.numdam.org/item/RSMUP_2012__127__193_0/

Bibliographie
Cité par

[A] V. Alexandru, On the transcendence of the trace function, Proceedings of the Romanian Academy, vol. 6, no. 1 (2005), pp. 11-16. | MR | Zbl

[APP] V. Alexandru - E. L. Popescu - N. Popescu, On the continuity of the trace, Proceedings of the Romanian Academy, Series A, vol. 5, no. 2 (2004), pp. 117-122. | MR | Zbl

[APVZ1] V. Alexandru - N. Popescu - M. Vajaitu - A. Zaharescu, The p-adic measure on the orbit of an elementof $ℂ_{p}$ , Rend. Sem. Mat. Univ. Padova, Vol. 118 (2007), pp. 197-216. | Numdam | MR | Zbl

[APZ1] V. Alexandru - N. Popescu - A. Zaharescu, On the closed subfields of $𝐂_{p}$ , J. Number Theory, 68, 2 (1998), pp. 131-150. | MR | Zbl

[APZ2] V. Alexandru - N. Popescu - A. Zaharescu, Trace on $ℂ_{p}$ , J. Number Theory, 88, 1 (2001), pp. 13-48. | MR | Zbl

[APZ3] V. Alexandru - N. Popescu - A. Zaharescu, A representation theorem for a class of rigid analytic functions, Journal de Theories des Nombres de Bordeaux, 15 (2003), pp. 639-650. | Numdam | MR | Zbl

[Am] Y. Amice, Les nombres $p$ -adiques, Presse Univ. de France, Collection Sup., 1975. | MR | Zbl

[Ar] E. Artin, Algebraic Numbers and Algebraic Functions, Gordon and Breach, N. Y. 1967. | MR | Zbl

[Ax] J. Ax, Zeros of polynomials over local fields - The Galois action, J. Algebra, 15 (1970), pp. 417-428. | MR | Zbl

[B] D. Barsky, Transformation de Cauchy $p$ -adique et algebre d’Iwasawa, Math. Ann., 232 (1978), pp. 255-266. | MR | Zbl

[Br] F. Bruhat, Integration $p$ -adique, Seminaire Bourbaki, 14e annee, 1961/62, no. 229. | Numdam | Zbl

[FP] J. Fresnel - M. Van Der Put, Géométrie Analytique Rigide et Applications, Birkhauser, Basel, 1981. | MR | Zbl

[Ka] N. M. Katz, $p$ -adic $L$ -functions for CM-fields, Invent. Math., 48 (1978), pp. 199-297. | MR | Zbl

[L] M. Lazard, Les zéros d'une fonction analytique d'une variable sur un corps valué complet, Publications Mathématiques de l'IHÉS, 14 (1962), pp. 47-75. | Numdam | MR | Zbl

[MS] B. Mazur - P. Swinnerton-Dyer, Arithmetic of Weil curves, Invent. Math., 25 (1974), pp. 1-61. | MR | Zbl

[AR] A. M. Robert, A course in $p$ -adic analysis, 2000 Springer-Verlag New-York, Inc. | MR | Zbl

[R] W. Rudin, Functional Analysis, Mc. Graw Hill Book Company, N. Y., 1973. | MR | Zbl

[Sch] W. H. Schikhof, Ultrametric calculus 1984. | MR | Zbl

[VZ] M. Vâjâitu - A. Zaharescu, Lipschitzian Distributions, Rev. Roumaine Math. Pures Appl., 53, no. 1 (2008), pp. 79-88. | MR | Zbl