Number Theory Volume II: Analytic and Modern Tools /

• Κύριος συγγραφέας: Cohen, Henri (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2007.
• Σειρά: Graduate Texts in Mathematics, 240
• Θέματα: Mathematics.; Algebra.; Field theory (Physics).; Ordered algebraic structures.; Computer mathematics.; Algorithms.; Number theory.; Number Theory.; Field Theory and Polynomials.; Computational Mathematics and Numerical Analysis.; Order, Lattices, Ordered Algebraic Structures.

The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation...

Πίνακας περιεχομένων:

• Analytic Tools
• Bernoulli Polynomials and the Gamma Function
• Dirichlet Series and L-Functions
• p-adic Gamma and L-Functions
• Modern Tools
• Applications of Linear Forms in Logarithms
• Rational Points on Higher-Genus Curves
• The Super-Fermat Equation
• The Modular Approach to Diophantine Equations
• Catalan’s Equation.