Title:
|
On the product of divisors of a positive integer (English) |
Author:
|
Šalát, Tibor |
Author:
|
Tomanová, Jana |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
52 |
Issue:
|
3 |
Year:
|
2002 |
Pages:
|
271-287 |
. |
Category:
|
math |
. |
MSC:
|
11A25 |
idZBL:
|
Zbl 1005.11002 |
idMR:
|
MR1936333 |
. |
Date available:
|
2009-09-25T14:08:17Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129329 |
. |
Reference:
|
[1] ERDÖS P.: On amicable numbers.Publ. Math. Debrecen 4 (1955), 108-111. Zbl 0065.02706, MR 0069198 |
Reference:
|
[2] FAST H. : Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548 |
Reference:
|
[3] HARDY G. H.-WRIGHT E. M.: An Introduction to the Theory of Numbers.Claredon Press, Oxford, 1954. Zbl 0058.03301, MR 0067125 |
Reference:
|
[4] KOSTYRKO P.-MACAJ M.-ŠALÁT T.: Statistical convergence and $\Cal J$-convergence.(To appear). |
Reference:
|
[5] NIVEN I.-ZUCKERMAN H. S.: An Introduction to the Theory of Numbers.John Willey, New York-London-Sidney, 1967. MR 0195783 |
Reference:
|
[6] OSTMANN H. H.: Additive Zahlentheorie I.Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956. Zbl 0072.03101, MR 0098721 |
Reference:
|
[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 1252159 |
Reference:
|
[8]
: Problem E 1058 [1953, 188].Proposed by Perisastri, M. Solution by Briggs, W, E., Amer. Math. Monthly 60 (1953), 628-629. MR 1528556 |
Reference:
|
[9]
: Problem E 2946 [1982, 333].Proposed by Simion, R. and Schmidt, F. W. Solution by Niven, I., Amer. Math. Monthly 91 (1984), 650. |
Reference:
|
[10] ŠALÁT T.: On ratio sets of sets of natural numbers.Acta Arith. 15 (1969), 273-278. Zbl 0177.07001, MR 0242756 |
Reference:
|
[11] SALAT T.: On statistically convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. Zbl 0437.40003, MR 0587239 |
Reference:
|
[12] SCHINZEL A.-ŠALÁT T.: Remarks on maximum and minimum exponents in factoring.Math. Slovaca 44 (1994), 505-514. Zbl 0821.11004, MR 1338424 |
Reference:
|
[13] SCHOENBERG I. J.: The integrability of certain functions and related summability methods.Amer. Math. Monthly 66 (1959), 361-375. Zbl 0089.04002, MR 0104946 |
Reference:
|
[14] SIERPINSKI W.: Elementary Theory of Numbers.PWN, Warszawa, 1964. Zbl 0122.04402, MR 0175840 |
. |