A weak Néron model with applications to -adic dynamical systems
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Liang-Chung Hsia (1996)
Compositio Mathematica
Youngho Jang (1997)
Annales mathématiques Blaise Pascal
Charles Helou (1988)
Journal für die reine und angewandte Mathematik
Michel Mendès France, Alfred van der Poorten (1986)
Acta Arithmetica
Wen-Ch'ing Winnie Li (1983)
Journal für die reine und angewandte Mathematik
A. Popescu, N. Popescu, M. Vajaitu, A. Zaharescu (2002)
Acta Arithmetica
Kurt Girstmair (1987)
Monatshefte für Mathematik
L. Bélair, L. Van den Dries (1988)
Manuscripta mathematica
Azzeddine Fekak, Ahmed Srhir (2002)
Annales Polonici Mathematici
We prove the rationality of the Łojasiewicz exponent for p-adic semi-algebraic functions without compactness hypothesis. In the parametric case, we show that the parameter space can be divided into a finite number of semi-algebraic sets on each of which the Łojasiewicz exponent is constant.
Charles Pisot (1962/1963)
Séminaire Dubreil. Algèbre et théorie des nombres
Biswaranjan Behera (2014)
Colloquium Mathematicae
We construct the Haar wavelets on a local field K of positive characteristic and show that the Haar wavelet system forms an unconditional basis for , 1 < p < ∞. We also prove that this system, normalized in , is a democratic basis of . This also proves that the Haar system is a greedy basis of for 1 < p < ∞.
Stanley J. Gurak (2009)
Journal de Théorie des Nombres de Bordeaux
Let be a field of degree over , the field of rational -adic numbers, say with residue degree , ramification index and differential exponent . Let be the ring of integers of and its unique prime ideal. The trace and norm maps for are denoted and , respectively. Fix , a power of a prime , and let be a numerical character defined modulo and of order . The character extends to the ring of -adic integers in the natural way; namely , where denotes the residue class...
Jeffrey Vaaler (1981)
Acta Arithmetica
Daniel Barsky (1977)
Journal für die reine und angewandte Mathematik
S. Evrard (2008)
Acta Arithmetica
Kim, Taekyun, Kim, Young-Hee, Jang, Lee-Chae, Rim, Seog-Hoon, Lee, Byungje (2010)
Journal of Inequalities and Applications [electronic only]
Kenneth H. Rosen, William M. Snyder (1985)
Journal für die reine und angewandte Mathematik
B.M.M. de Weger (1988)
Elemente der Mathematik
P.G. Becker (1990)
Elemente der Mathematik
F. LAUBIE (1977/1978)
Seminaire de Théorie des Nombres de Bordeaux
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