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This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems.

Algebraic fields. --- Arithmetic functions. --- Drinfeld modules. --- Modules (Algebra) --- Functions, Arithmetic --- Functions of complex variables --- Number theory --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Algebra

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Arithmetical algebraic geometry --- Geometry, Algebraic --- p-adic analysis