Aoki, Takashi 1953
Overview
Works:  16 works in 84 publications in 2 languages and 2,480 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Publication Timeline
.
Most widely held works by
Takashi Aoki
Number theory : dreaming in dreams : proceedings of the 5th ChinaJapan Seminar : HigashiOsaka, Japan 2731 August 2008 by
Takashi Aoki(
)
16 editions published between 2009 and 2010 in English and held by 1,437 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
16 editions published between 2009 and 2010 in English and held by 1,437 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
Zeta functions, topology, and quantum physics by
Takashi Aoki(
)
9 editions published between 2005 and 2008 in English and held by 493 WorldCat member libraries worldwide
"This book, primarily intended for researchers in number theory and mathematical physics, is also accessible to graduate students in these fields."Jacket
9 editions published between 2005 and 2008 in English and held by 493 WorldCat member libraries worldwide
"This book, primarily intended for researchers in number theory and mathematical physics, is also accessible to graduate students in these fields."Jacket
Algebraic analysis of differential equations : from microlocal analysis to exponential asymptotics : festschrift in honor
of Takahiro Kawai by
Takashi Aoki(
)
19 editions published between 2007 and 2009 in English and held by 469 WorldCat member libraries worldwide
"This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the international conference "Algebraic Analysis of Differential Equations  from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. The articles contained here present many new results and ideas, providing interested researchers and students with valuable suggestions and instructive guidance for their work."Jacket
19 editions published between 2007 and 2009 in English and held by 469 WorldCat member libraries worldwide
"This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the international conference "Algebraic Analysis of Differential Equations  from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. The articles contained here present many new results and ideas, providing interested researchers and students with valuable suggestions and instructive guidance for their work."Jacket
Zeta functions, topology, and quantum physics by
Takashi Aoki(
Book
)
11 editions published in 2005 in English and held by 41 WorldCat member libraries worldwide
11 editions published in 2005 in English and held by 41 WorldCat member libraries worldwide
Virtual turning points and isomonodromic deformations by
Takashi Aoki(
Book
)
3 editions published in 2006 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 2006 in English and held by 5 WorldCat member libraries worldwide
Virtual turning points by
Naofumi Honda(
Book
)
3 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the NoumiYamada type and to the analysis of nonadiabatic transition probability problems in three levels. As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in the Journal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary
3 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the NoumiYamada type and to the analysis of nonadiabatic transition probability problems in three levels. As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in the Journal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations by
Takashi Aoki(
Book
)
3 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Abstract: "For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understandable by taking into account Stokes curves emanating from virtual turning points, together with those from ordinary turning points. This understanding of the bifurcation of a Stokes curve plays an important role in resolving a paradox recently found in the NoumiYamada system, a system of linear differential equations associated with the fourth Painlevé equation."
3 editions published in 2004 in English and held by 4 WorldCat member libraries worldwide
Abstract: "For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understandable by taking into account Stokes curves emanating from virtual turning points, together with those from ordinary turning points. This understanding of the bifurcation of a Stokes curve plays an important role in resolving a paradox recently found in the NoumiYamada system, a system of linear differential equations associated with the fourth Painlevé equation."
Bibun sekibungaku 28kō(
Book
)
2 editions published in 2009 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 2009 in Japanese and held by 4 WorldCat member libraries worldwide
Chōkansū FBI henkan mugenkai gibibun sayōso by
Takashi Aoki(
Book
)
4 editions published in 2004 in Japanese and held by 4 WorldCat member libraries worldwide
4 editions published in 2004 in Japanese and held by 4 WorldCat member libraries worldwide
A fresh glimpse into the Stokes geometry of the BerkNevinsRoberts equation through a singular coordinate transformation by
Takashi Aoki(
Book
)
3 editions published in 2005 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2005 in English and held by 4 WorldCat member libraries worldwide
A background story and some knowhow of virtual turning points by
Takashi Aoki(
Book
)
3 editions published in 2005 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2005 in English and held by 4 WorldCat member libraries worldwide
Senkei daisugaku sanjikko(
Book
)
2 editions published in 2012 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2012 in Japanese and held by 3 WorldCat member libraries worldwide
Senkei daisūgaku 28kō(
Book
)
2 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
Bibun sekibungaku sanjikko(
Book
)
2 editions published in 2013 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2013 in Japanese and held by 3 WorldCat member libraries worldwide
Microlocal Analysis and Singular Perturbation Theory : October 59, 2015 by Microlocal Analysis and Singular Perturbation Theory (Conference)(
Book
)
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
Zeta Functions, Topology And Quantum Physics. Developments in Mathematics, Volume 14(
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
This volume focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, Lfunctions, polylogarithms, and their interplay with other disciplines. Eleven articles on recent advances are written by outstanding experts in the abovementioned fields. Each article starts with an introductory survey leading to the exciting new research developments accomplished by the contributors. This book will become the major standard reference on the recent advances on zeta functions
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
This volume focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, Lfunctions, polylogarithms, and their interplay with other disciplines. Eleven articles on recent advances are written by outstanding experts in the abovementioned fields. Each article starts with an introductory survey leading to the exciting new research developments accomplished by the contributors. This book will become the major standard reference on the recent advances on zeta functions
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Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kanemitsu, Shigeru Editor
 Liu, Jianya Editor
 Kawai, Takahiro Honoree
 Nakahara, Mikio Editor
 Takei, Yoshitsugu Editor
 Majima, Hideyuki Editor
 Tose, Nobuyuki Editor
 Ohno, Yasuo Editor
 Kinki University
 尾崎, 学
Associated Subjects
Coordinate transformations Differential equations Differential equations, Linear Differential equations, Partial Functions, Special Functions, Zeta Geometry, Differential Integral transforms Isomonodromic deformation method Linear operators Mathematical analysis Mathematical physics Mathematics Microlocal analysis Number theory Painlevé equations Perturbation (Mathematics) Quantum theory Stokes equations