Masanobu Kaneko's Books

The Conference on L-Functions

Fukuoka, Japan, 18-23 February 2006

By: Lin Weng,Masanobu Kaneko

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The Conference on L-Functions

Fukuoka, Japan, 18-23 February 2006

By: Lin Weng,Masanobu Kaneko

This invaluable volume collects papers written by many of the world's top experts on L-functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole. The contributions reflect the latest, most advanced and most important aspects of L-functions. In particular, it contains Hida's lecture notes at the conference and at the Eigenvariety semester in Harvard University and Weng's detailed account of his works on high rank zeta functions and non-abelian L-functions.

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Page Count

383

Publisher

World Scientific

Published Date

ISBN 10

981270504X

ISBN 13

9789812705044

Bernoulli Numbers and Zeta Functions

By: Tsuneo Arakawa,Tomoyoshi Ibukiyama,Masanobu Kaneko

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Bernoulli Numbers and Zeta Functions

By: Tsuneo Arakawa,Tomoyoshi Ibukiyama,Masanobu Kaneko

Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advanced topics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the sum of powers of consecutive integers; a formula for Bernoulli numbers by Stirling numbers; the Clausen–von Staudt theorem on the denominators of Bernoulli numbers; Kummer's congruence between Bernoulli numbers and a related theory of p-adic measures; the Euler–Maclaurin summation formula; the functional equation of the Riemann zeta function and the Dirichlet L functions, and their special values at suitable integers; various formulas of exponential sums expressed by generalized Bernoulli numbers; the relation between ideal classes of orders of quadratic fields and equivalence classes of binary quadratic forms; class number formula for positive definite binary quadratic forms; congruences between some class numbers and Bernoulli numbers; simple zeta functions of prehomogeneous vector spaces; Hurwitz numbers; Barnes multiple zeta functions and their special values; the functional equation of the doub le zeta functions; and poly-Bernoulli numbers. An appendix by Don Zagier on curious and exotic identities for Bernoulli numbers is also supplied. This book will be enjoyable both for amateurs and for professional researchers. Because the logical relations between the chapters are loosely connected, readers can start with any chapter depending on their interests. The expositions of the topics are not always typical, and some parts are completely new.

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Page Count

278

Publisher

Springer

Published Date

ISBN 10

4431549196

ISBN 13

9784431549192

Singapore: The Japanese Version

By: Col. Masanobu Tsuji

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Singapore: The Japanese Version

By: Col. Masanobu Tsuji

Originally published in 1960, the author of this book is one of the planners of the Imperial Japanese Army’s invasion of Malaya and the capture of Singapore—Colonel Masanobu Tsuji himself. In it, he “unreservedly attributes Japan’s victory in Malaya to the patriotic fervour and self-sacrifice of the frontline officers and men of her 25th Army, which, in advancing six hundred miles and capturing Singapore in seventy days, achieved one of the decisive victories of World War II and accomplished a feat unparalleled in military history. [...] For the first time in history an army carried out “a blitzkrieg on bicycles”, astounding the world by the sureness and rapidity of its advance, and exploding the myth of the impregnability of Singapore—which, as Colonel Tsuji emphasizes, had no rear defences, a fact he states was unknown to Winston Churchill at the time. [...] Colonel Tsuji’s career proves him a master planner and an outstanding field officer. He now appears as an excellent writer and is to be congratulated upon his book, and also upon the motives which led to his escape from the Allied forces after the national surrender [...].”

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Page Count

480

Publisher

Pickle Partners Publishing

Published Date

ISBN 10

1787200981

ISBN 13

9781787200982

Clans and Genealogy in Ancient Japan

Legends of Ancestor Worship

By: Masanobu Suzuki

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Clans and Genealogy in Ancient Japan

Legends of Ancestor Worship

By: Masanobu Suzuki

In recent years, there has been a noticeable and enthusiastic increase of interest in Buddhist temples and Shintō shrines in Japan. The legends of these temples and shrines are recorded in many historical manuscripts and these genealogies have such great significance that some of them have been registered as national treasures of Japan. They are indispensable to elucidate the history of these temples and shrines, in addition to the formation process of the ancient Japanese nation. This book provides a comprehensive examination of the genealogies and legends of ancient Japanese clans. It advances the study of ancient Japanese history by utilizing new analytical perspective from not only the well-known historical manuscripts relied upon by previous researchers, but also valuable genealogies and legends that previous researchers largely neglected.

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Page Count

302

Publisher

Routledge

Published Date

ISBN 10

1351983318

ISBN 13

9781351983310

ANOVA with Dependent Errors

By: Yuichi Goto,Hideaki Nagahata,Masanobu Taniguchi,Anna Clara Monti,Xiaofei Xu

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ANOVA with Dependent Errors

By: Yuichi Goto,Hideaki Nagahata,Masanobu Taniguchi,Anna Clara Monti,Xiaofei Xu

This book presents the latest results related to one- and two-way models for time series data. Analysis of variance (ANOVA) is a classical statistical method for IID data proposed by R.A. Fisher to investigate factors and interactions of phenomena. In contrast, the methods developed in this book apply to time series data. Testing theory of the homogeneity of groups is presented under a wide variety of situations including uncorrelated and correlated groups, fixed and random effects, multi- and high-dimension, parametric and nonparametric spectral densities. These methods have applications in several scientific fields. A test for the existence of interactions is also proposed. The book deals with asymptotics when the number of groups is fixed and sample size diverges. This framework distinguishes the approach of the book from panel data and longitudinal analyses, which mostly deal with cases in which the number of groups is large. The usefulness of the theory in this book is illustrated by numerical simulation and real data analysis. This book is suitable for theoretical statisticians and economists as well as psychologists and data analysts.

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Page Count

100

Publisher

Springer Nature

Published Date

ISBN 10

9819941725

ISBN 13

9789819941728

Book's by Masanobu Kaneko

The Conference on L-Functions

The Conference on L-Functions

Bernoulli Numbers and Zeta Functions

Bernoulli Numbers and Zeta Functions

Singapore: The Japanese Version

Singapore: The Japanese Version

Clans and Genealogy in Ancient Japan

Clans and Genealogy in Ancient Japan

ANOVA with Dependent Errors

ANOVA with Dependent Errors

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