An Introduction to "G"-Functions. (AM-133) (Q4297862)
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scientific article; zbMATH DE number 599742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An Introduction to "G"-Functions. (AM-133) |
scientific article; zbMATH DE number 599742 |
Statements
An Introduction to "G"-Functions. (AM-133) (English)
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4 July 1994
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\(G\)-functions
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formal power series
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linear differential equation
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\(p\)- adic differential equations
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Padé approximants
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general introduction to \(p\)-adic analysis
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Dwork's theorem
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rationality of the zeta function of a hypersurface over a finite field
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\(D\)-modules
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Honda's theory of differential equations in finite characteristics
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applications to Katz' theorem
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Dwork-Robba theorem
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Dwork's transfer principles
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Chudnovsky's theorem
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Dwork-Robba type estimates
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growth of solutions at the boundary of a singular disk
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nilpotent monodromy
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diophantine nature of the exponents
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equivalence of Bombieri's and Galochkin's conditions
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