Some applications of Franel-Kluyver's integral. II
Mathematica slovaca, Tome 39 (1989) no. 2, pp. 127-140
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11A05, 11J71
@article{MASLO_1989_39_2_a1,
     author = {Strauch, Oto},
     title = {Some applications of {Franel-Kluyver's} integral. {II}},
     journal = {Mathematica slovaca},
     pages = {127--140},
     year = {1989},
     volume = {39},
     number = {2},
     mrnumber = {1018254},
     zbl = {0671.10002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1989_39_2_a1/}
}
TY  - JOUR
AU  - Strauch, Oto
TI  - Some applications of Franel-Kluyver's integral. II
JO  - Mathematica slovaca
PY  - 1989
SP  - 127
EP  - 140
VL  - 39
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_1989_39_2_a1/
LA  - en
ID  - MASLO_1989_39_2_a1
ER  - 
%0 Journal Article
%A Strauch, Oto
%T Some applications of Franel-Kluyver's integral. II
%J Mathematica slovaca
%D 1989
%P 127-140
%V 39
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_1989_39_2_a1/
%G en
%F MASLO_1989_39_2_a1
Strauch, Oto. Some applications of Franel-Kluyver's integral. II. Mathematica slovaca, Tome 39 (1989) no. 2, pp. 127-140. http://geodesic.mathdoc.fr/item/MASLO_1989_39_2_a1/

[1] FRANEL J.: Les suites de Farey et le problème des nombres premiers. Göttinger Nachrichten, 1924, 198-201.

[2] LANDAU E.: Bemerkungen zu der vorstehenden Abhandlung von Herrn Franel. Göttinger Nachrichten, 1924, 202-206.

[3] LANDAU E.: Vorlesung über Zahlentheoгie. Band 2. Verlag von S. Hirzel in Leipzig 1927.

[4] KLUYVER J. C.: An analytical expression for the greatest common divisor of two integers. Proceedings Royal Acad. Amsterdam, Vol. V, II, 1903, 658-662.

[5] GÁL I. S.: A theorem concerning diophantine approximations. Nieuw Arch. Wisk. 23, 1949, 13-38. | MR | Zbl

[6] KOKSMA J. F.: On a certain integral in the theory of uniform distribution. Indag. Math. 13, 1951, 285-287. | MR | Zbl

[7] LE VEQUE W. J.: On the frequency of small fractional parts in certain real sequences III. J. Reine Angew. Math. 202, 1959, 215-220. | MR

[8] STRAUCH O.: Some new criterions for sequences which satisfy Duffin - Schacffer conjecture I. Acta Math. Univ. Comenian. 42-43, 1983, 87-95. | MR

[9] DYER T., HARMAN G.: Sums involving common divisors. J. London Math. Soc. (2) 34, 1986, 1-11. | MR | Zbl

[10] KUIPERS L., NIEDERREITER H.: Uniform Distribution of Sequences. J. Wiley New York 1974. | MR | Zbl

[11] KOKSMA J. F.: A general theorem from the theory of uniform distribution modulo 1. Mathematica, Zutphen B11, 1942, 7-11. | MR

[12] KOKSMA J. F.: Some integrals in the theory of uniform distribution modulo 1. Mathematica, Zutphen B11, 1942,49-52. | MR