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Takeyama Lab
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A mathematics lab that investigates q-analogues of multiple zeta values using techniques from the theory of special functions.

AboutAbout the lab
Approaching multiple zeta values with the techniques of special function theory.
The Takeyama Lab specializes in mathematical physics and the theory of special functions, and studies multiple zeta values and their q-analogues.
An earlier profile describes interests in difference equations related to quantum integrable systems, special functions, representation theory, and combinatorics.
Roughly speaking, an integrable system is a problem described by differential or difference equations that has good properties, such as solutions that can be constructed explicitly.
Because the lab works with many concrete examples, it needs algebraic tools such as representation theory and combinatorics in addition to analytic methods.
Key terms
- Multiple zeta values
- Numbers defined by extending zeta values to series with multiple indices
- q-analogue
- A deformation of an original object obtained by adding one parameter q (a one-parameter deformation)
- Integrable system
- A problem involving differential or difference equations that has good properties, such as solutions that can be constructed explicitly
- Special functions
- Named functions, such as hypergeometric functions, that appear repeatedly in problems in mathematics and physics
NewsLab news
A paper by Prof. Takeyama is published in The Ramanujan Journal
Prof. Takeyama publishes "What Does It Mean to Be Good at Mathematics?" (in Japanese; Chikuma Shobo)
A revised and expanded edition of Prof. Takeyama's "Mathematical Thinking for Everyday Life" (in Japanese) is published by Kagaku-Dojin
ResearchResearch themes
This lab studies multiple zeta values and their q-analogues using techniques from the theory of special functions that are used to analyze quantum integrable systems. Its areas of expertise are mathematical physics, solvable models, and the theory of special functions.
View More ↗MembersFaculty
- ProfessorYoshihiro Takeyama
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Portal Math Banner Background ka” User:Alsandro / CC0 (cropped)
- Multiple zeta values and their q-analogues: “Pure-mathematics-formulæ-blackboard” Wallpoper / Public domain (cropped)
- Related lab (桑原 敏郎 研究室): “Matematička gimnazija - Mathematical Gymnasium Belgrade - MGB - Physics Laboratory 1” MGB / Public domain (cropped)
- Related lab (筧 知之 研究室): “Wave Interference” Cubitt Robert / CC BY-SA 4.0 (cropped)
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