-adic cycles
Bernard Dwork (1969)
Publications Mathématiques de l'IHÉS
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Bernard Dwork (1969)
Publications Mathématiques de l'IHÉS
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Alan Adolphson, Steven Sperber (1996)
Annales scientifiques de l'École Normale Supérieure
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A. Libgober, S. Sperber (1995)
Compositio Mathematica
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Nicholas M. Katz (1968)
Publications Mathématiques de l'IHÉS
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M.M. Marjanovic (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Umberto Zannier (2004)
Annales de l’institut Fourier
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This paper is concerned with the estimation of the number of integer solutions to exponential equations in several variables, over function fields. We develop a method which sometimes allows to replace known exponential bounds with polynomial ones. More generally, we prove a counting result (Thm. 1) on the integer points where given exponential terms become linearly dependent over the constant field. Several applications are given to equations (Cor. 1) and to the estimation of the number...
Andrzej Schinzel (2002)
Journal de théorie des nombres de Bordeaux
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One considers representation of a polynomial in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.
Ben Lichtin (1984-1985)
Groupe de travail d'analyse ultramétrique
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Makoto Nagata (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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