Tanaka, Takaaki
Faculty of Science and Technology Dept. Mathematics Professor
Graduate School of Science and Technology School of Mathematical and Physical Sciences Curriculum of Mathematics and Mathematical Sciences Professor
Research Overview
This laboratory focuses on transcendental number theory to determine transcendence and algebraic independence of values of complex analytic functions, being a significant and difficult problem in mathematics and having many applications to other branches including algebraic number theory. Mainly studied is the theory of the solutions of certain functional equations called Mahler functions, which often appear as generating functions of various sequences representing mathematical phenomena.
Specialty
Transcendental number theory, Analytic number theory
Thesis Guide Qualification
Thesis Guide Qualification in the Graduate School of Science and Technology
Master/Doctor