Takashi Aoki
Kindai University
59 Papers
280 Citations
Takashi Aoki is an academic researcher from Kindai University. The author has contributed to research in topics: WKB approximation & Differential equation. The author has an hindex of 15, co-authored 57 publications.
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Papers
Zeta Functions, Topology and Quantum Physics
Takashi Aoki
- 01 Jan 2005
TL;DR: In this paper, the authors focus on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, L-functions, polylogarithms, and their interplay with other disciplines.
42
Sum Relations for Multiple Zeta Values and Connection Formulas for the Gauss Hypergeometric Functions
Takashi Aoki,Yasuo Ohno +1 more
TL;DR: In this article, the sum of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values is given as a function of the number of zeta stars.
34
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
TL;DR: For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P as mentioned in this paper, and this phenomenon is most neatly understandable by taking into account Stokes curves emanating from virtual turning points, together with those from ordinary turning points.
33
On the exact WKB analysis for the third order ordinary differential equations with a large parameter
TL;DR: In this article, the validity of Ansatz concerning the Stokes geometry is examined through the study of particular di erential equations whose solutions can be explicitly given in the form of integrals.
31
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
TL;DR: For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P as mentioned in this paper, and this phenomenon is most neatly understandable by taking into account Stokes curves emanating from virtual turning points, together with those from ordinary turning points.