Kanemitsu, Shigeru
Overview
Works:  40 works in 184 publications in 3 languages and 8,177 library holdings 

Genres:  Conference papers and proceedings Textbooks 
Roles:  Author, Translator, Editor, Other 
Publication Timeline
.
Most widely held works by
Shigeru Kanemitsu
Vistas of special functions II by
Kalyan Chakraborty(
)
23 editions published between 2007 and 2010 in English and held by 1,630 WorldCat member libraries worldwide
"This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zetafunctions. In Vista II, which maintains the spirit of the theory of special functions through zetafunctions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations  avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing."Jacket
23 editions published between 2007 and 2010 in English and held by 1,630 WorldCat member libraries worldwide
"This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zetafunctions. In Vista II, which maintains the spirit of the theory of special functions through zetafunctions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations  avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing."Jacket
Vistas of special functions by
Shigeru Kanemitsu(
)
17 editions published in 2007 in English and held by 1,482 WorldCat member libraries worldwide
This is a unique book for studying special functions through zetafunctions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zetafunctions (the Hurwitz, the Lerch, and the Epstein zetafunction), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet Lfunctions, the rudiments of complex functions and summation formulas. The Fourier series for the (first) periodic Bernoulli polynomial is effectively used, familiarizing the reader with the relationship between special functions and zetafunctions
17 editions published in 2007 in English and held by 1,482 WorldCat member libraries worldwide
This is a unique book for studying special functions through zetafunctions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zetafunctions (the Hurwitz, the Lerch, and the Epstein zetafunction), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet Lfunctions, the rudiments of complex functions and summation formulas. The Fourier series for the (first) periodic Bernoulli polynomial is effectively used, familiarizing the reader with the relationship between special functions and zetafunctions
Number theory : dreaming in dreams : proceedings of the 5th ChinaJapan Seminar : HigashiOsaka, Japan 2731 August 2008 by
Takashi Aoki(
)
14 editions published between 2009 and 2010 in English and held by 1,433 WorldCat member libraries worldwide
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 stateoftheart 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 fi
14 editions published between 2009 and 2010 in English and held by 1,433 WorldCat member libraries worldwide
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 stateoftheart 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 fi
Number theory arithmetic in ShangriLa : proceedings of the 6th ChinaJapan seminar by
Shigeru Kanemitsu(
)
10 editions published in 2013 in English and held by 1,409 WorldCat member libraries worldwide
This volume is based on the successful 6th ChinaJapan Seminar on Number Theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory  additive problems, divisor problems, Diophantine equations  to elliptic curves and automorphic Lfunctions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series
10 editions published in 2013 in English and held by 1,409 WorldCat member libraries worldwide
This volume is based on the successful 6th ChinaJapan Seminar on Number Theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory  additive problems, divisor problems, Diophantine equations  to elliptic curves and automorphic Lfunctions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series
Number theory : sailing on the sea of number theory : proceedings of the 4th ChinaJapan Seminar, Weihai, China Aug. 30Sept
3, 2006 by ChinaJapan Seminar(
)
4 editions published in 2007 in English and held by 826 WorldCat member libraries worldwide
This volume is not an ordinary proceedings volume assembling papers submitted but a collection of prestigious survey papers on various subjects studied enthusiastically by experts all over the world. The reader will uncover profound, new research problems as well as numerous signposts for future direction
4 editions published in 2007 in English and held by 826 WorldCat member libraries worldwide
This volume is not an ordinary proceedings volume assembling papers submitted but a collection of prestigious survey papers on various subjects studied enthusiastically by experts all over the world. The reader will uncover profound, new research problems as well as numerous signposts for future direction
Physical realizations of quantum computing : are the DiVincenzo criteria fulfilled in 2004? : Osaka, Japan, 78 May 2004 by
Mikio Nakahara(
)
1 edition published in 2006 in English and held by 356 WorldCat member libraries worldwide
The contributors of this volume are working at the forefront of various realizations of quantum computers. They survey the recent developments in each realization, in the context of the DiVincenzo criteria, including nuclear magnetic resonance, Josephson junctions, quantum dots, and trapped ions. There are also some theoretical contributions which have relevance in the physical realizations of a quantum computer. This book fills the gap between elementary introductions to the subject and highly specialized research papers to allow beginning graduate students to understand the cuttingedge of r
1 edition published in 2006 in English and held by 356 WorldCat member libraries worldwide
The contributors of this volume are working at the forefront of various realizations of quantum computers. They survey the recent developments in each realization, in the context of the DiVincenzo criteria, including nuclear magnetic resonance, Josephson junctions, quantum dots, and trapped ions. There are also some theoretical contributions which have relevance in the physical realizations of a quantum computer. This book fills the gap between elementary introductions to the subject and highly specialized research papers to allow beginning graduate students to understand the cuttingedge of r
Number theory by
Władysław Narkiewicz(
Book
)
6 editions published between 1977 and 1984 in English and Italian and held by 290 WorldCat member libraries worldwide
6 editions published between 1977 and 1984 in English and Italian and held by 290 WorldCat member libraries worldwide
Number theory and its applications by
Fuhuo Li(
Book
)
21 editions published between 1998 and 2018 in English and held by 217 WorldCat member libraries worldwide
"The contents of this volume range from readable expository papers in several aspects of number theory intended for general readers (Steinhaus property of planar regions; experiments of computers; Diophantine approximation; number field sieve), to a collection of research papers devoted to specialists, which are of prestigious journal level. Thus the book leads the reader, in many ways, not only to the state of the art of, but also to the rich garden of number theory." "Audience: Researchers and graduate students interested in recent developments of number theory."Jacket
21 editions published between 1998 and 2018 in English and held by 217 WorldCat member libraries worldwide
"The contents of this volume range from readable expository papers in several aspects of number theory intended for general readers (Steinhaus property of planar regions; experiments of computers; Diophantine approximation; number field sieve), to a collection of research papers devoted to specialists, which are of prestigious journal level. Thus the book leads the reader, in many ways, not only to the state of the art of, but also to the rich garden of number theory." "Audience: Researchers and graduate students interested in recent developments of number theory."Jacket
Number theoretic methods : future trends by
Shigeru Kanemitsu(
)
10 editions published between 2002 and 2011 in English and held by 146 WorldCat member libraries worldwide
This book contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field. Audience: Researchers and graduate students in number theory, enthusiastic amateurs and undergraduate students who have some basic knowledge in mathematics
10 editions published between 2002 and 2011 in English and held by 146 WorldCat member libraries worldwide
This book contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field. Audience: Researchers and graduate students in number theory, enthusiastic amateurs and undergraduate students who have some basic knowledge in mathematics
Contributions to the theory of zetafunctions : the modular relation supremacy by
Shigeru Kanemitsu(
Book
)
12 editions published between 2013 and 2015 in English and held by 108 WorldCat member libraries worldwide
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations  zeta symmetry  which zetafunctions satisfy, thus streamlining previously published results on zetafunctions. The equivalent relations are given in the form of modular relations in Fox Hfunction series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zetafunctions. This volume aims to keep a record of the 150yearold heritage starting from Riemann on zetafunctions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zetafunctions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zetafunctions
12 editions published between 2013 and 2015 in English and held by 108 WorldCat member libraries worldwide
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations  zeta symmetry  which zetafunctions satisfy, thus streamlining previously published results on zetafunctions. The equivalent relations are given in the form of modular relations in Fox Hfunction series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zetafunctions. This volume aims to keep a record of the 150yearold heritage starting from Riemann on zetafunctions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zetafunctions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zetafunctions
Number theory : sailing on the sea of number theory : proceedings of the 4th ChinaJapan Seminar, Weihai, China, 30 August
 3 September, 2006 by ChinaJapan Seminar on Number Theory(
Book
)
6 editions published in 2007 in English and held by 79 WorldCat member libraries worldwide
6 editions published in 2007 in English and held by 79 WorldCat member libraries worldwide
Number theory : plowing and starring through high wave forms : proceedings of the 7th ChinaJapan seminar, Fukuoka, Japan
28 October1 November 2013 by
Masanobu Kaneko(
)
11 editions published between 2013 and 2015 in English and held by 68 WorldCat member libraries worldwide
Based on the successful 7th China?Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semisurvey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the stateoftheart affairs in the fields of their research interests
11 editions published between 2013 and 2015 in English and held by 68 WorldCat member libraries worldwide
Based on the successful 7th China?Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semisurvey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the stateoftheart affairs in the fields of their research interests
A quick introduction to complex analysis by
Kalyan Chakraborty(
Book
)
9 editions published between 2016 and 2017 in English and held by 52 WorldCat member libraries worldwide
9 editions published between 2016 and 2017 in English and held by 52 WorldCat member libraries worldwide
Zeta functions, topology, and quantum physics by
Takashi Aoki(
)
4 editions published between 2005 and 2008 in English and held by 27 WorldCat member libraries worldwide
Focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, Lfunctions, polylogarithms, and their interplay with other disciplines. Each article starts with an introductory survey leading to the research developments accomplished by the contributors
4 editions published between 2005 and 2008 in English and held by 27 WorldCat member libraries worldwide
Focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, Lfunctions, polylogarithms, and their interplay with other disciplines. Each article starts with an introductory survey leading to the research developments accomplished by the contributors
Zeta functions, topology, and quantum physics by
Takashi Aoki(
)
6 editions published in 2005 in English and held by 21 WorldCat member libraries worldwide
6 editions published in 2005 in English and held by 21 WorldCat member libraries worldwide
Senkei daisūgaku(
Book
)
2 editions published in 1993 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 1993 in Japanese and held by 4 WorldCat member libraries worldwide
Gendai kaisekigaku(
Book
)
3 editions published in 1995 in Japanese and held by 3 WorldCat member libraries worldwide
3 editions published in 1995 in Japanese and held by 3 WorldCat member libraries worldwide
Sūron mikaiketsu mondai no jiten by
Richard K Guy(
Book
)
2 editions published in 2010 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2010 in Japanese and held by 3 WorldCat member libraries worldwide
Number theory : sailing on the sea of number theory : proceedings of the 4th ChinaJapan Seminar, Weihai, China Aug. 30Sept
3, 2006 by China) ChinaJapan Seminar ( 2006(
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
On some new congruences for generalized Bernoulli numbers by
Shigeru Kanemitsu(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Tsukada, Haruo 1961 Author
 Chakraborty, Kalyan Author
 Aoki, Takashi 1953 Author Editor
 Liu, Jianya Editor
 Liu, Jianya Editor
 Li, Hongze Author Editor
 Liu, J. Y. Other Editor
 Nakahara, Mikio Other Author
 Salomaa, Martti M.
 Takagi, Shin