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Kaneko Lab
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A lab in analytic number theory that explores uniform distribution and transcendental numbers.
AboutAbout the lab
Exploring uniform distribution and transcendental numbers through number expansions.
The Kaneko Lab studies uniform distribution theory and transcendental number theory within analytic number theory.
The faculty list of the Degree Program in Mathematics lists Prof. Kaneko as an Associate Professor in the Algebra Group.
Its research keywords also include beta expansions.
The titles of its papers include ones that deal with representing numbers by their digits and by beta expansions.
Key terms
- Uniform distribution theory
- The area of mathematics that studies whether a sequence of numbers is spread out evenly, without bias.
- Transcendental number theory
- The area of mathematics that studies the properties of numbers that are not solutions of equations with integer coefficients (transcendental numbers).
- Beta expansion
- A way of representing a real number as a sequence of digits in a real number base β, rather than in a fixed base such as 10.
- Numeration system
- A system for representing numbers, such as the decimal expansion of real numbers.
ResearchResearch themes
The lab focuses on uniform distribution theory and transcendental number theory within analytic number theory. Its listed research topics include analyzing patterns in digits and applying that analysis to transcendence and algebraic independence.
View More ↗MembersFaculty
- Associate ProfessorHajime Kaneko
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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.
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- Related lab (Carnahan Lab): “Math01” MathKnight ✡ (Talk) No machine-readable author provided. MathKnight assumed (based on copyright claims). / CC BY 2.5 (cropped)
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