Automorphic forms are an important complex analytic tool in number
theory and modern arithmetic geometry. They played for example a
vital role in Andrew Wiles's proof of Fermat's Last Theorem. This
text provides a concise introduction to the world of automorphic
forms using two approaches: the classic elementary theory and the
modern point of view of adeles and representation theory. The
reader will learn the important aims and results of the theory by
focussing on its essential aspects and restricting it to the 'base
field' of rational numbers. Students interested for example in
arithmetic geometry or number theory will find that this book
provides an optimal and easily accessible introduction into this
topic.
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