Number Theory: Tradition and Modernization is a collection of
survey and research papers on various topics in number theory.
Though the topics and descriptive details appear varied, they are
unified by two underlying principles: first, making everything
readable as a book, and second, making a smooth transition from
traditional approaches to modern ones by providing a rich array of
examples.
The chapters are presented in quite different in depth and cover
a variety of descriptive details, but the underlying editorial
principle enables the reader to have a unified glimpse of the
developments of number theory. Thus, on the one hand, the
traditional approach is presented in great detail, and on the
other, the modernization of the methods in number theory is
elaborated. The book emphasizes a few common features such as
functional equations for various zeta-functions, modular forms,
congruence conditions, exponential sums, and algorithmic
aspects.
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