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Fingerprint Dive into the research topics where Takaaki Tanaka is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Algebraic Independence Mathematics
Linear Recurrence Mathematics
Algebraic number Mathematics
Infinite product Mathematics
Lame number Mathematics
Transcendence Mathematics
Independence Results Mathematics
Power series Mathematics

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Research Output 1996 2018

  • 41 Citations
  • 4 h-Index
  • 16 Article
  • 2 Conference contribution

Algebraic independence of the values of the Hecke–Mahler series and its derivatives at algebraic numbers

Tanaka, T. & Tanuma, Y., 2018 Jun 26, (Accepted/In press) In : International Journal of Number Theory. p. 1-16 16 p.

Research output: Contribution to journalArticle

Algebraic Independence
Algebraic number
Derivative
Series
Irrational number
Algebraic Independence
Relatively prime
Positive Characteristic
Functional equation
Algebraic number

Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers

Kaneko, H., Tachiya, Y., Kurosawa, T. & Tanaka, T., 2015, In : Acta Arithmetica. 168, 2, p. 161-186 26 p.

Research output: Contribution to journalArticle

Lucas numbers
Infinite product
Lame number

Algebraic independence results for the values of certain Mahler functions and their application to infinite products

Kurosawa, T., Tachiya, Y. & Tanaka, T., 2014, In : Monatshefte fur Mathematik. 174, 1, p. 77-104 28 p.

Research output: Contribution to journalArticle

Independence Results
Algebraic Independence
Infinite product
Linear Recurrence
Entire Function
Functional equation
Algebraic Independence
Independence Results
Several Variables
Linear Combination