Geodesic
On the product of divisors of a positive integer
Mathematica slovaca, Tome 52 (2002) no. 3, pp. 271-287
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11A25 
@article{MASLO_2002_52_3_a2,
     author = {\v{S}al\'at, Tibor and Tomanov\'a, Jana},
     title = {On the product of divisors of a positive integer},
     journal = {Mathematica slovaca},
     pages = {271--287},
     year = {2002},
     volume = {52},
     number = {3},
     mrnumber = {1936333},
     zbl = {1005.11002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2002_52_3_a2/}
}
TY  - JOUR
AU  - Šalát, Tibor
AU  - Tomanová, Jana
TI  - On the product of divisors of a positive integer
JO  - Mathematica slovaca
PY  - 2002
SP  - 271
EP  - 287
VL  - 52
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_2002_52_3_a2/
LA  - en
ID  - MASLO_2002_52_3_a2
ER  - 
%0 Journal Article
%A Šalát, Tibor
%A Tomanová, Jana
%T On the product of divisors of a positive integer
%J Mathematica slovaca
%D 2002
%P 271-287
%V 52
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_2002_52_3_a2/
%G en
%F MASLO_2002_52_3_a2
Šalát, Tibor; Tomanová, Jana. On the product of divisors of a positive integer. Mathematica slovaca, Tome 52 (2002) no. 3, pp. 271-287. http://geodesic.mathdoc.fr/item/MASLO_2002_52_3_a2/

[1] ERDÖS P.: On amicable numbers. Publ. Math. Debrecen 4 (1955), 108-111. | MR | Zbl

[2] FAST H. : Sur la convergence statistique. Colloq. Math. 2 (1951), 241-244. | MR | Zbl

[3] HARDY G. H.-WRIGHT E. M.: An Introduction to the Theory of Numbers. Claredon Press, Oxford, 1954. | MR | Zbl

[4] KOSTYRKO P.-MACAJ M.-ŠALÁT T.: Statistical convergence and $\Cal J$-convergence. (To appear).

[5] NIVEN I.-ZUCKERMAN H. S.: An Introduction to the Theory of Numbers. John Willey, New York-London-Sidney, 1967. | MR

[6] OSTMANN H. H.: Additive Zahlentheorie I. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956. | MR | Zbl

[7] POWEL B. J.-ŠALÁT T.: Convergence of subseries of the harmonic series and asymptotic densities of sets of positive integers. Publ. Inst. Math. (Beograd) (N.S.) 50 (1991), 60-70. | MR

[8] Problem E 1058 [1953, 188]. Proposed by Perisastri, M. Solution by Briggs, W, E., Amer. Math. Monthly 60 (1953), 628-629. | MR

[9] Problem E 2946 [1982, 333]. Proposed by Simion, R. and Schmidt, F. W. Solution by Niven, I., Amer. Math. Monthly 91 (1984), 650.

[10] ŠALÁT T.: On ratio sets of sets of natural numbers. Acta Arith. 15 (1969), 273-278. | MR | Zbl

[11] SALAT T.: On statistically convergent sequences of real numbers. Math. Slovaca 30 (1980), 139-150. | MR | Zbl

[12] SCHINZEL A.-ŠALÁT T.: Remarks on maximum and minimum exponents in factoring. Math. Slovaca 44 (1994), 505-514. | MR | Zbl

[13] SCHOENBERG I. J.: The integrability of certain functions and related summability methods. Amer. Math. Monthly 66 (1959), 361-375. | MR | Zbl

[14] SIERPINSKI W.: Elementary Theory of Numbers. PWN, Warszawa, 1964. | MR | Zbl