Generalized hypergeometric functions / Dwork, Bernard

Public ISBD Titre : Generalized hypergeometric functions Type de document : texte imprimé Auteurs : Dwork, Bernard Editeur : Oxford : Clarendon Press Année de publication : 1990 Collection : Oxford Mathematical Monographs Importance : 188 p. Langues : Anglais (eng) Catégories : 11-XX Number theory:11SXX Algebraic number theory: local and $p$-adic fields:11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G20 Local ground fields 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33CXX Hypergeometric functions:33C20 Generalized hypergeometric series, $_pF_q$ Mots-clés : differential module  cohomology theory  frobenius matrix  boyarsky principle  p-adic generalized hypergeometric functions  hypergeometric functions Index. décimale : 33C Monographie Generalized hypergeometric functions [texte imprimé] / Dwork, Bernard . - Clarendon Press, 1990 . - 188 p.. - (Oxford Mathematical Monographs) . Langues : Anglais (eng) Catégories : 11-XX Number theory:11SXX Algebraic number theory: local and $p$-adic fields:11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G20 Local ground fields 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33CXX Hypergeometric functions:33C20 Generalized hypergeometric series, $_pF_q$ Mots-clés : differential module  cohomology theory  frobenius matrix  boyarsky principle  p-adic generalized hypergeometric functions  hypergeometric functions Index. décimale : 33C Monographie

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Non-archimedean analysis / Bosch, S.

Public ISBD Titre : Non-archimedean analysis : a systematic approach to rigic analytic geometry Type de document : texte imprimé Auteurs : Bosch, S. ; Reinhold Remmert ; Güntzer, U. Editeur : Springer-Verlag Année de publication : 1984 Collection : Grundlehren der Mathematischen Wissenschaften num. 261 Importance : xii - 436 p. ISBN/ISSN/EAN : 978-3-540-12546-4 Langues : Anglais (eng) Catégories : 12-XX Field theory and polynomials:12JXX Topological fields:12J10 Valued fields 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G20 Local ground fields 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) Mots-clés : finiteness theorem for direct images  coherent modules  tate algebra  affinoid algebras  ultrametric analysis  rigid analytic spaces  rigid analytic geometry Index. décimale : 14C Monographie Non-archimedean analysis : a systematic approach to rigic analytic geometry [texte imprimé] / Bosch, S. ; Reinhold Remmert ; Güntzer, U. . - Springer-Verlag, 1984 . - xii - 436 p.. - (Grundlehren der Mathematischen Wissenschaften; 261) . ISBN : 978-3-540-12546-4 Langues : Anglais (eng) Catégories : 12-XX Field theory and polynomials:12JXX Topological fields:12J10 Valued fields 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G20 Local ground fields 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) Mots-clés : finiteness theorem for direct images  coherent modules  tate algebra  affinoid algebras  ultrametric analysis  rigid analytic spaces  rigid analytic geometry Index. décimale : 14C Monographie

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Rigid analytic geometry and its applications / Fresnel, Jean

Public ISBD Titre : Rigid analytic geometry and its applications Type de document : texte imprimé Auteurs : Fresnel, Jean ; van der Put, Marius Editeur : Birkhäuser Verlag Année de publication : 2004 Collection : Progress in Mathematics num. 218 Importance : xi, 296 p. Format : 24 cm. ISBN/ISSN/EAN : 978-0-8176-4206-8 Langues : Anglais (eng) Catégories : 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G22 Rigid analytic geometry 30-XX Functions of a complex variable :30H05 Spaces and algebras of analytic functions 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) Mots-clés : rigid analytic geometry, algebraic geometry Index. décimale : 14C Monographie Rigid analytic geometry and its applications [texte imprimé] / Fresnel, Jean ; van der Put, Marius . - Birkhäuser Verlag, 2004 . - xi, 296 p. ; 24 cm.. - (Progress in Mathematics; 218) . ISBN : 978-0-8176-4206-8 Langues : Anglais (eng) Catégories : 14-XX Algebraic geometry:14GXX Arithmetic problems. Diophantine geometry :14G22 Rigid analytic geometry 30-XX Functions of a complex variable :30H05 Spaces and algebras of analytic functions 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) Mots-clés : rigid analytic geometry, algebraic geometry Index. décimale : 14C Monographie

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Rings of separated power series and quasi-affinoid geometry / Lipshitz, Leonard; Robinson, Zachary

Public ISBD Titre : Rings of separated power series and quasi-affinoid geometry Type de document : texte imprimé Auteurs : Lipshitz, Leonard; Robinson, Zachary Editeur : Paris : Société Mathématiques de France Année de publication : 2000 Collection : Astérisque, ISSN 0303-1179 num. 264 Importance : 171 p. Langues : Français (fre) Catégories : 32-XX Several complex variables and analytic spaces :32-02 Research exposition (monographs, survey articles) 32-XX Several complex variables and analytic spaces :32BXX Local analytic geometry :32B05 Analytic algebras and generalizations, preparation theorems 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) Mots-clés : separated power series  quantifier elimination  subanalytic sets  rigid analytic geometry Index. décimale : AST Rings of separated power series and quasi-affinoid geometry [texte imprimé] / Lipshitz, Leonard; Robinson, Zachary . - Société Mathématiques de France, 2000 . - 171 p.. - (Astérisque, ISSN 0303-1179; 264) . Langues : Français (fre) Catégories : 32-XX Several complex variables and analytic spaces :32-02 Research exposition (monographs, survey articles) 32-XX Several complex variables and analytic spaces :32BXX Local analytic geometry :32B05 Analytic algebras and generalizations, preparation theorems 32-XX Several complex variables and analytic spaces :32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) Mots-clés : separated power series  quantifier elimination  subanalytic sets  rigid analytic geometry Index. décimale : AST

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