@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://archive.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://archive.numdam.org/item/CM_1994__91_2_175_0/ LA - en ID - CM_1994__91_2_175_0 ER -
Bundschuh, Peter; Väänänen, Keijo. Arithmetical investigations of a certain infinite product. Compositio Mathematica, Tome 91 (1994) no. 2, pp. 175-199. http://archive.numdam.org/item/CM_1994__91_2_175_0/
1 Transcendental numbers in the p-adic domain, Amer. J. Math. 88 (1966) 279-308. | MR | Zbl
:2 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 Indépendance linéaire des valeurs des solutions transcendantes de certaines équations fonctionnelles, Manuscripta Math. 61 (1988) 103-129. | MR | Zbl
:4 On the irrationality of Σ(1/(qn + r)), J. Number Theory 37 (1991) 253-259. | Zbl
:5 Arithmetische Untersuchungen unendlicher Produkte, Inventiones Math. 6 (1969) 275-295. | MR | Zbl
,6 Über lineare Unabhängigkeit (submitted).
und :7 On arithmetical properties of Lambert series, J. Indian Math. Soc.(N.S.) 12 (1948) 63-66. | MR | Zbl
:8 Hypergeometric Functions and Applications, Ellis Horwood Ltd., Chichester (1983). | MR | Zbl
: q-9 Functions which take on integral values (Russian), Mat. Zametki 1 (1967) 509-513; Engl. transl., Math. Notes 1, 337-340. | MR | Zbl
:10 Sur l'irrationalité d'un produit infini, Math. Sbornik 12 (54) (1943) 262-272. | MR | Zbl
:11 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 Arithmetical properties of values of some infinite products (Russian). In: Diophantine Approximations 2, Collect. Artic., Moskva (1986) pp. 63-78. | MR | Zbl
:13 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
: