WorldCat Identities

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
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Most widely held works by Takashi Aoki
Number theory : dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 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 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 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
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
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

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

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 Noumi-Yamada type and to the analysis of non-adiabatic 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 Noumi-Yamada 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

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

A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts 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

A background story and some know-how of virtual turning points by Takashi Aoki( Book )

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

Senkei daisūgaku 28kō( Book )

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

Microlocal Analysis and Singular Perturbation Theory : October 5-9, 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

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, L-functions, polylogarithms, and their interplay with other disciplines. Eleven articles on recent advances are written by outstanding experts in the above-mentioned 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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Number theory : dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008
Covers
Zeta functions, topology, and quantum physicsAlgebraic analysis of differential equations : from microlocal analysis to exponential asymptotics : festschrift in honor of Takahiro KawaiZeta functions, topology, and quantum physics
Alternative Names
Aoki, Takashi

Aoki, Takashi 1953-

Takashi Aoki.

アオキ, タカシ

アオキ, タカシ 1953-

Languages
English (72)

Japanese (12)