@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://archive.numdam.org/item/RSMUP_2012__127__193_0/} }
TY - JOUR AU - Achimescu, S. 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 UR - http://archive.numdam.org/item/RSMUP_2012__127__193_0/ LA - en ID - RSMUP_2012__127__193_0 ER -
%0 Journal Article %A Achimescu, S. %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 %U http://archive.numdam.org/item/RSMUP_2012__127__193_0/ %G en %F RSMUP_2012__127__193_0
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://archive.numdam.org/item/RSMUP_2012__127__193_0/
[A] On the transcendence of the trace function, Proceedings of the Romanian Academy, vol. 6, no. 1 (2005), pp. 11-16. | MR | Zbl
,[APP] On the continuity of the trace, Proceedings of the Romanian Academy, Series A, vol. 5, no. 2 (2004), pp. 117-122. | MR | Zbl
- - ,
[APVZ1] The p-adic measure on the orbit of an elementof
[APZ1] On the closed subfields of
[APZ2] Trace on
[APZ3] 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] Les nombres
[Ar] Algebraic Numbers and Algebraic Functions, Gordon and Breach, N. Y. 1967. | MR | Zbl
,[Ax] Zeros of polynomials over local fields - The Galois action, J. Algebra, 15 (1970), pp. 417-428. | MR | Zbl
,
[B] Transformation de Cauchy
[Br] Integration
[FP] Géométrie Analytique Rigide et Applications, Birkhauser, Basel, 1981. | MR | Zbl
- ,
[Ka]
[L] 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] Arithmetic of Weil curves, Invent. Math., 25 (1974), pp. 1-61. | MR | Zbl
- ,
[AR] A course in
[R] Functional Analysis, Mc. Graw Hill Book Company, N. Y., 1973. | MR | Zbl
,[Sch] Ultrametric calculus 1984. | MR | Zbl
,[VZ] Lipschitzian Distributions, Rev. Roumaine Math. Pures Appl., 53, no. 1 (2008), pp. 79-88. | MR | Zbl
- ,