Geodesic
A note to the rationality of infinite series. I
Communications in Mathematics, Tome 5 (1997) no. 1, pp. 5-11 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11J72 
@article{COMIM_1997_5_1_a0,
     author = {Han\v{c}l, Jaroslav},
     title = {A note to the rationality of infinite series. {I}},
     journal = {Communications in Mathematics},
     pages = {5--11},
     year = {1997},
     volume = {5},
     number = {1},
     mrnumber = {1828546},
     zbl = {0927.11043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_1997_5_1_a0/}
}
TY  - JOUR
AU  - Hančl, Jaroslav
TI  - A note to the rationality of infinite series. I
JO  - Communications in Mathematics
PY  - 1997
SP  - 5
EP  - 11
VL  - 5
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/COMIM_1997_5_1_a0/
LA  - en
ID  - COMIM_1997_5_1_a0
ER  - 
%0 Journal Article
%A Hančl, Jaroslav
%T A note to the rationality of infinite series. I
%J Communications in Mathematics
%D 1997
%P 5-11
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/COMIM_1997_5_1_a0/
%G en
%F COMIM_1997_5_1_a0
Hančl, Jaroslav. A note to the rationality of infinite series. I. Communications in Mathematics, Tome 5 (1997) no. 1, pp. 5-11. http://geodesic.mathdoc.fr/item/COMIM_1997_5_1_a0/

[1] Andre-Jeanin R: A Note of the Irrationality of Certain Lucas Infinite Series. Fibonacci Quart. 29, 1991, 132-136. | MR

[2] Bundschuh P., Pethö A.: Zur Transzendenz gewisser Reihen. Monatsh. Math. 104, 1987, 199-223. | DOI | MR

[3] Erdös P., Graham R. L.: Old and New Problems and Results in Combinatorial Number Theory. In: Monograph. Enseign. Math 38, Enseignement Math. Geneva, 1980, 60-66. | MR

[4] Erdös P., Straus E. G.: Some Number Theoretic Results. Pacific Journal Math., 26, no.3, 1971, 635-646. | MR

[5] Erdös P., Straus E. G.: On the Irrationality of Certain Series. Pacific Journal Math. 55, 1974, 85-92. | DOI | MR

[6] Galambos J.: Representations of Real Numbers by Infinite Series. Lecture Notes in Mathematics 502, 1976, Springer-Verlag. | MR | Zbl

[7] Hančl J., Kiss P.: On Reciprocal Sums of Terms of Linear Recurrences. Math. Slovaca 43, no.1, 1993, 31-37. | MR

[8] Iseki K.: On the Irrationality of the Sum of Some Infinite Series. Mathematics Seminar Notes. 7, 1979, 183-187. | MR | Zbl

[9] Oppenheim A.: Criteria for Irrationality of Certain Classes of Numbers. Amer. Math. Monthly 61, no.4, 1954, 235-241. | DOI | MR | Zbl