Research keywords (2)：
transcendental numbers
, algebraic independence
Research theme for competitive and other funds (10)：
2020 - 2024 完全代数的独立性の拡張と高次元化
2015 - 2019 非アルキメデス付値体における完全代数的独立性
2013 - 2018 Development of Iwasawsa theory
2010 - 2014 Analytic, Algebraic and Combinatorial studies on continued fractions
2009 - 2014 New development of Iwasawa theory and its applications
2010 - 2013 Mahler関数の特殊値による超越数の構造解明
2006 - 2009 p進数体及び関数体上のMahler関数の超越性と代数的独立性及びその応用
2006 - 2008 Ergodic theory and metric number theory
2005 - 2008 Refined Iwasawa theory and the zeta functions
2005 - 2007 Arithmetic of cohomological automorphic representations of orthogonal groups and theta series for indefinite quadratic forms
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Papers (36)：
TANAKA TAKA-AKI. Algebraic independence of the values of a certain map defined on the set of orbits of the action of Klein four-group. RIMS Kôkyûroku. 2019. 2131. 177-187
TANAKA TAKA-AKI. Algebraic independence of the values of power series generated by linear recurrences(Analytic Number Theory). RIMS Kokyuroku. 1996. 961. 137-149
Lectures and oral presentations (37)：
On power series generated by simpler sequences and having strong algebraic independence properties
(Analytic Number Theory and Related Topics 2021)
Algebraic independence properties of a certain map defined on the set of orbits of the action of Klein four-group
(Keio-Yonsei Number Theory Workshop 2018)
Algebraic independence of the values of a certain map defined on the set of orbits of the action of Klein four-group
(Analytic Number Theory and Related Topics 2018)
On the functions having `perfect' algebraic independence property at algebraic numbers
(Diophantine Analysis and Related Fields 2017 2017)
