Algebraic independence of the numbers ∏ K=0 ∞ (1-p -2 K ) with p prime
Séminaire Delange-Pisot-Poitou. Théorie des nombres, Tome 17 (1975-1976) no. 1, Exposé no. 15, 9 p. 
@article{SDPP_1975-1976__17_1_A14_0,
     author = {Kubota, Kenneth K.},
     title = {Algebraic independence of the numbers $\prod ^ \infty _ {K = 0} (1-p^{-2^{K}})$ with $p$ prime},
     journal = {S\'eminaire Delange-Pisot-Poitou. Th\'eorie des nombres},
     note = {talk:15},
     pages = {1--9},
     publisher = {Secr\'etariat math\'ematique},
     volume = {17},
     number = {1},
     year = {1975-1976},
     zbl = {0356.10029},
     language = {en},
     url = {http://archive.numdam.org/item/SDPP_1975-1976__17_1_A14_0/}
}
TY  - JOUR
AU  - Kubota, Kenneth K.
TI  - Algebraic independence of the numbers $\prod ^ \infty _ {K = 0} (1-p^{-2^{K}})$ with $p$ prime
JO  - Séminaire Delange-Pisot-Poitou. Théorie des nombres
N1  - talk:15
PY  - 1975-1976
SP  - 1
EP  - 9
VL  - 17
IS  - 1
PB  - Secrétariat mathématique
UR  - http://archive.numdam.org/item/SDPP_1975-1976__17_1_A14_0/
LA  - en
ID  - SDPP_1975-1976__17_1_A14_0
ER  - 
%0 Journal Article
%A Kubota, Kenneth K.
%T Algebraic independence of the numbers $\prod ^ \infty _ {K = 0} (1-p^{-2^{K}})$ with $p$ prime
%J Séminaire Delange-Pisot-Poitou. Théorie des nombres
%Z talk:15
%D 1975-1976
%P 1-9
%V 17
%N 1
%I Secrétariat mathématique
%U http://archive.numdam.org/item/SDPP_1975-1976__17_1_A14_0/
%G en
%F SDPP_1975-1976__17_1_A14_0
Kubota, Kenneth K. Algebraic independence of the numbers $\prod ^ \infty _ {K = 0} (1-p^{-2^{K}})$ with $p$ prime. Séminaire Delange-Pisot-Poitou. Théorie des nombres, Tome 17 (1975-1976) no. 1, Exposé no. 15, 9 p. http://archive.numdam.org/item/SDPP_1975-1976__17_1_A14_0/

[1] Baker (A.). - Linear forms in the logarithms of algebraic numbers, I., Mathematika, London, t. 13, 1966, p. 204-216. | MR | Zbl

[2] Frobenius (F.G.). - Über Matrizen aus nicht negativen Elementen, Sitzungsber. preuss. Akad. Wiss., Berlin, 1912, p. 456-477. | JFM

[3] Kubota (K.K.). - On the algebraic independence of holomorphic solutions of certain functional equations and their values (to appear). | MR | Zbl

[4] Kubota (K.K.). - On a transcendence problem of K. Mahler (to appear). | MR | Zbl

[5] Lang (S.). - Introduction to transcendental numbers. - Reading, Addison-Wesley publishing Company, 1966 (Addison-Wesley Series in Mathematics). | MR | Zbl

[6] Lech (C.). - A note on recurring sequences, Ark. Mat., t. 2, 1953, p. 417- 421. | MR | Zbl

[7] Lewis (D.J.). - Diophantine equations : p-adic methods, "Studies in number theory", p. 25-75. - Englewood Cliffs, Mathematical Association of America, 1969 (Studies in Mathematics, 6). | MR | Zbl

[8] Mahler (K.). - Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Annalen, t. 101, 1929, p. 342-366. | JFM | MR

[9] Mahler (K.). - Über das Verschwinden von Potenzreihen mehrerer Veränderlichen im speziellen Punktfolgen, Math. Annalen, t. 103, 1930, p. 573-587. | JFM | MR

[10] Mahler (K.). - Arithmetische Eigenschaften einer Klasse tranzendental-Tranzendenter Funktionen, Math. Z., t. 32, 1932, p. 545-585. | JFM | MR

[11] Mahler (K.). - Remarks on a paper of W. Schwarz, J. Number Theory, t. 1, 1969, p. 512-521. | MR | Zbl

[12] Mahler (K.). - Lectures on transcendental numbers, "1969 Number theory institute", p. 248-274. - Providence, American mathematical Society, 1971 (Proceedings of Symposia in pure Mathematics, 20). | MR | Zbl

[13] Turan (P.). - Eine neue Methode in der Analysis und deren Anwendungen. - Budapest, Akademai Kiado, 1953. | MR | Zbl