Arithmetical investigations of a certain infinite product
Compositio Mathematica, Tome 91 (1994) no. 2, pp. 175-199.
@article{CM_1994__91_2_175_0,
     author = {Bundschuh, Peter and V\"a\"an\"anen, Keijo},
     title = {Arithmetical investigations of a certain infinite product},
     journal = {Compositio Mathematica},
     pages = {175--199},
     publisher = {Kluwer Academic Publishers},
     volume = {91},
     number = {2},
     year = {1994},
     mrnumber = {1273648},
     zbl = {0802.11027},
     language = {en},
     url = {http://www.numdam.org/item/CM_1994__91_2_175_0/}
}
TY  - JOUR
AU  - Bundschuh, Peter
AU  - Väänänen, Keijo
TI  - Arithmetical investigations of a certain infinite product
JO  - Compositio Mathematica
PY  - 1994
SP  - 175
EP  - 199
VL  - 91
IS  - 2
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1994__91_2_175_0/
LA  - en
ID  - CM_1994__91_2_175_0
ER  - 
%0 Journal Article
%A Bundschuh, Peter
%A Väänänen, Keijo
%T Arithmetical investigations of a certain infinite product
%J Compositio Mathematica
%D 1994
%P 175-199
%V 91
%N 2
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1994__91_2_175_0/
%G en
%F CM_1994__91_2_175_0
Bundschuh, Peter; Väänänen, Keijo. Arithmetical investigations of a certain infinite product. Compositio Mathematica, Tome 91 (1994) no. 2, pp. 175-199. http://www.numdam.org/item/CM_1994__91_2_175_0/

1 Adams, W.W.: Transcendental numbers in the p-adic domain, Amer. J. Math. 88 (1966) 279-308. | MR | Zbl

2 André-Jeannin, R.: Irrationalité de la somme des inverses de certaines suites récurrentes, C.R. Acad. Sci. Paris, Ser. I Math. 308 (1989) 539-541. | MR | Zbl

3 Bézivin, J.P.: Indépendance linéaire des valeurs des solutions transcendantes de certaines équations fonctionnelles, Manuscripta Math. 61 (1988) 103-129. | MR | Zbl

4 Borwein, P.B.: On the irrationality of Σ(1/(qn + r)), J. Number Theory 37 (1991) 253-259. | Zbl

5 Bundschuh, P., Arithmetische Untersuchungen unendlicher Produkte, Inventiones Math. 6 (1969) 275-295. | MR | Zbl

6 Bundschuh, P. und Töpfer, T.: Über lineare Unabhängigkeit (submitted).

7 Erdös, P.: On arithmetical properties of Lambert series, J. Indian Math. Soc.(N.S.) 12 (1948) 63-66. | MR | Zbl

8 Exton, H.: q-Hypergeometric Functions and Applications, Ellis Horwood Ltd., Chichester (1983). | MR | Zbl

9 Gel'Fond, A.O.: Functions which take on integral values (Russian), Mat. Zametki 1 (1967) 509-513; Engl. transl., Math. Notes 1, 337-340. | MR | Zbl

10 Lototsky, A.V.: Sur l'irrationalité d'un produit infini, Math. Sbornik 12 (54) (1943) 262-272. | MR | Zbl

11 Nesterenko, Yu. V.: On the linear independence of numbers (Russian), Vestnik Moskov. Univ. Ser. I Math Mekh. 1 (1985) 46-49; Engl. transl., Moscow Univ. Math. Bull. 40, 69-74. | MR | Zbl

12 Popov, A. Yu.: Arithmetical properties of values of some infinite products (Russian). In: Diophantine Approximations 2, Collect. Artic., Moskva (1986) pp. 63-78. | MR | Zbl

13 Popov, A. Yu.: Approximation of values of some infinite products (Russian), Vestnik Moskov. Univ. Ser. I Mat. Mekh. 6 (1990) 3-6; Engl. transl., Moscow Univ. Math. Bull. 45, 4-6. | MR | Zbl