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p-adic numbers --- Galois theory --- p-adic groups --- Nombres p-adiques --- Galois, Théorie de --- Groupes p-adiques --- Nombres p-adiques. --- Galois, Théorie de. --- Groupes p-adiques.
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Algebra --- Algebra. --- Algèbre --- Algèbre. --- Polynômes. --- Polynomials --- Galois, Théorie de. --- Galois theory
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Algebra --- 512.5 --- Mathematics --- Mathematical analysis --- General algebra --- Algebra. --- 512.5 General algebra --- Galois, Théorie de --- Galois theory --- Algèbre --- Groupes, Théorie des --- Group theory --- Algèbre linéaire --- Algebras, Linear
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Galois theory. --- Unitary groups. --- p-adic groups. --- Representations of groups. --- Automorphic forms. --- Galois, Théorie de. --- Groupes unitaires. --- Groupes p-adiques. --- Représentations de groupes. --- Formes automorphes.
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This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.
Group theory --- Functional analysis --- Difference equations --- Galois theory --- Mathematical Theory --- Operations Research --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Equations aux differences --- Galois [Theorie de ] --- Galois [Theorie van ] --- Vergelijkingen met differenties --- Mathematical analysis. --- Analysis (Mathematics). --- Algebra. --- Analysis. --- Mathematical analysis --- 517.1 Mathematical analysis --- Difference equations. --- Galois theory. --- Equations, Theory of --- Number theory --- Calculus of differences --- Differences, Calculus of --- Equations, Difference
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512.62 --- 512.62 Fields. Polynomials --- Fields. Polynomials --- Equations, Théorie des --- Equations, Theory of. --- Équations algébriques --- Galois, Théorie de --- Equations, Théorie des --- Théorie de Galois --- Equations, Theory of --- Galois theory --- Group theory --- Number theory --- Galois theory. --- Équations algébriques. --- Galois, Théorie de.
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Class field theory --- Brauer groups --- Galois theory --- Galois cohomology --- Brauer groups. --- Class field theory. --- Galois cohomology. --- Galois theory. --- Brauer-Gruppe --- Galois-Kohomologie --- Galois-Theorie --- Lokale Klasse --- Théorie du corps de classes --- Groupes de Brauer --- Théorie de Galois --- Cohomologie galoisienne
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512.5 --- 512.622 --- 512.622 Polynomials, including binomials and prime factors --- Polynomials, including binomials and prime factors --- 512.5 General algebra --- General algebra --- Algebra --- Mathematics --- Mathematical analysis --- Equations, Theory of --- Équations algébriques --- Galois theory --- Galois, Théorie de --- Algèbre --- Groupes, Théorie des --- Group theory
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