Kohji Matsumoto's Books

The Theory of Zeta-Functions of Root Systems

By: Yasushi Komori,Kohji Matsumoto,Hirofumi Tsumura

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The Theory of Zeta-Functions of Root Systems

By: Yasushi Komori,Kohji Matsumoto,Hirofumi Tsumura

The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, Mordell–Tornheim multiple zeta-functions, and Euler–Zagier multiple zeta-functions. Zeta-functions of root systems are defined by certain multiple series, given in terms of root systems. Therefore, they intrinsically have the action of associated Weyl groups. The exposition begins with a brief introduction to the theory of Lie algebras and root systems and then provides the definition of zeta-functions of root systems, explicit examples associated with various simple Lie algebras, meromorphic continuation and recursive analytic structure described by Dynkin diagrams, special values at integer points, functional relations, and the background given by the action of Weyl groups. In particular, an explicit form of Witten’s volume formula is provided. It is shown that various relations among special values of Euler–Zagier multiple zeta-functions—which usually are called multiple zeta values (MZVs) and are quite important in connection with Zagier’s conjecture—are just special cases of various functional relations among zeta-functions of root systems. The authors further provide other applications to the theory of MZVs and also introduce generalizations with Dirichlet characters, and with certain congruence conditions. The book concludes with a brief description of other relevant topics.

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Page Count

419

Publisher

Springer Nature

Published Date

ISBN 10

9819909104

ISBN 13

9789819909100

Structural Science of Crystalline Polymers

Basic Concepts and Practices

By: Kohji Tashiro

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Structural Science of Crystalline Polymers

Basic Concepts and Practices

By: Kohji Tashiro

This book focuses on the modern development of techniques for analysis of the hierarchical structure of polymers from both the experimental and theoretical points of view. Starting with molecular and crystal symmetry, the author explains fundamental and professional methods, such as wide- and small-angle X-ray scattering, neutron diffraction, electron diffraction, FTIR and Raman spectroscopy, NMR, and synchrotron radiation. In addition, the author explains another indispensable method, computer simulation, which includes energy calculation, lattice dynamics, molecular dynamics, and quantum chemistry. These various methods are described in a systematic way so that the reader can utilize them for the purpose of 3D structure analysis of polymers. Not only such analytical knowledge but also the preparation techniques of samples necessary for these measurements and the methods of analyzing the experimental data collected in this way are given in a concrete manner. Examples are offered to help master the principles of how to clarify the static structures and dynamic structural changes in the phase transitions of various kinds of crystalline polymers that are revealed by these novel methods. The examples are quite useful for readers who want to apply these techniques in finding practical solutions to concrete problems that are encountered in their own research. The principal audience for this book is made up of young professional researchers including those working in industry, but it can also be used as an excellent reference for graduate-level students. This book is the first volume of a two-volume set with Structural Science of Crystalline Polymers: A Microscopically Viewed Structure–Property Relationship being the second volume by the same author.

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Page Count

837

Publisher

Springer Nature

Published Date

ISBN 10

9811595623

ISBN 13

9789811595622

The Theory of Zeta-Functions of Root Systems

By: Yasushi Komori,Kohji Matsumoto,Hirofumi Tsumura

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The Theory of Zeta-Functions of Root Systems

By: Yasushi Komori,Kohji Matsumoto,Hirofumi Tsumura

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N/A

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Solve jigsaw puzzle

Age

Page Count

419

Publisher

Springer Nature

Published Date

ISBN 10

9819909104

ISBN 13

9789819909100

Book's by Kohji Matsumoto

The Theory of Zeta-Functions of Root Systems

The Theory of Zeta-Functions of Root Systems

Structural Science of Crystalline Polymers

Structural Science of Crystalline Polymers

The Theory of Zeta-Functions of Root Systems

The Theory of Zeta-Functions of Root Systems

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