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Algebraic independence of the values of power series, Lambert series, and infinite products generated by linear recurrences

机译：幂级数，Lambert级数和线性递归生成的无限乘积的值的代数独立性

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Tanaka Taka-aki;
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年度 2014
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正文语种 eng
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1. Conditions for the algebraic independence of certain seriesinvolving continued fractions and generated by linearrecurrences [J] . Taka-aki Tanaka Journal of Number Theory . 2009,第12期

机译：包含连续分数并由线性递归产生的某些级数的代数独立性的条件
2. Algebraic independence of power series generated by linearly independent positive numbers [J] . Taka-aki Tanaka Results in mathematics . 2004,第3a4期

机译：由线性独立的正数生成的幂级数的代数独立性
3. Linear Independence of Values of a Certain Lambert Series [J] . Peter Bundschuh Results in Mathematics . 2007,第1a2期

机译：某个Lambert级数的值的线性独立性
4. Arithmetical properties of infinite products generated by binary recurrences [C] . Yohei Tachiya Conference on Diophantine Analysis and Related Fields . 2011

机译：二元复发产生无限产物的算术特性
5. On cranks of partitions, generalized Lambert series, and basic hypergeometric series. [D] . Chan, Song Heng. 2005

机译：在分区曲柄上，可以使用广义Lambert级数和基本超几何级数。
6. Multivariate linear recurrences and power series division [O] . Herwig Hauser, Christoph Koutschan -1

机译：多元线性递归和幂级数除法
7. Algebraic independence of the values of power series, Lambert series, and infinite products generated by linear recurrences [O] . Tanaka Taka-aki 2005

机译：幂级数，Lambert级数和线性递归产生的无穷乘积的代数独立性
8. Infinite-Dimensional Carleman Linearization, the Lie Series, and Optimal Controlof Nonlinear PDES [R] . Banks, S. P. 1990

机译：无限维Carleman线性化，Lie系列和非线性pDEs的最优控制

Algebraic independence of the values of power series, Lambert series, and infinite products generated by linear recurrences

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