This volume aims at collecting survey papers which give broad and
enlightening perspectives of various aspects of number
theory.Kitaoka's paper is a continuation of his earlier paper
published in the last proceedings and pushes the research forward.
Browning's paper introduces a new direction of research on analytic
number theory - quantitative theory of some surfaces and Bruedern
et al's paper details state-of-the-art affairs of additive number
theory. There are two papers on modular forms - Kohnen's paper
describes generalized modular forms (GMF) which has some
applications in conformal field theory, while Liu's paper is very
useful for readers who want to have a quick introduction to Maass
forms and some analytic-number-theoretic problems related to them.
Matsumoto et al's paper gives a very thorough survey on functional
relations of root system zeta-functions, Hoshi-Miyake's paper is a
continuation of Miyake's long and fruitful research on generic
polynomials and gives rise to related Diophantine problems, and
Jia's paper surveys some dynamical aspects of a special arithmetic
function connected with the distribution of prime numbers. There
are two papers of collections of problems by Shparlinski on
exponential and character sums and Schinzel on polynomials which
will serve as an aid for finding suitable research problems.
Yamamura's paper is a complete bibliography on determinant
expressions for a certain class number and will be useful to
researchers.Thus the book gives a good-balance of classical and
modern aspects in number theory and will be useful to researchers
including enthusiastic graduate students.
General
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