This book provides an exposition of function field arithmetic with
emphasis on recent developments concerning Drinfeld modules, the
arithmetic of special values of transcendental functions (such as
zeta and gamma functions and their interpolations), diophantine
approximation and related interesting open problems. While it
covers many topics treated in 'Basic Structures of Function Field
Arithmetic' by David Goss, it complements that book with the
inclusion of recent developments as well as the treatment of new
topics such as diophantine approximation, hypergeometric functions,
modular forms, transcendence, automata and solitons. There is also
new work on multizeta values and logalgebraicity. The author has
included numerous worked-out examples. Many open problems, which
can serve as good thesis problems, are discussed.
General
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