| Title:
|
Remarks on maximum and minimum exponents in factoring (English) |
| Author:
|
Schinzel, Andrzej |
| Author:
|
Šalát, Tibor |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
1994 |
| Pages:
|
505-514 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A25 |
| MSC:
|
11A51 |
| MSC:
|
11B05 |
| MSC:
|
11N60 |
| idZBL:
|
Zbl 0821.11004 |
| idMR:
|
MR1338424 |
| . |
| Date available:
|
2009-09-25T11:00:48Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136624 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/136651 |
| . |
| Reference:
|
[1] COOPER C. N.-KENNEDY R. E.: Chebyshev's inequality and natural density.Amer. Math. Monthly 96 (1989), 118-124. Zbl 0694.10004, MR 0992072 |
| Reference:
|
[2] ERDOS P.-POMERANCE C.: On a theorem of Besicovitch: values of arithmetical functions that divide their arguments.Indian J. Math. 32 (1990), 279-287. MR 1088609 |
| Reference:
|
[3] DELANGE H.: Sur une theoreme de Renyi.Acta Arith. XI (1965), 241-252. MR 0201398 |
| Reference:
|
[4] FAST H.: Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548 |
| Reference:
|
[5] HARDY G. H.-WRIGHT E. M.: An Introduction to the Theory of Numbers.(3rd edition), Clarendon Press, Oxford, 1954. Zbl 0058.03301, MR 0067125 |
| Reference:
|
[6] KENNEDY R. E.-COOPER O. N.: Tau numbers, natural density and Hardy and Wright's theorem 437.Internat. J. Math. Math. Sci. 13 (1990), 383-386. Zbl 0713.11002, MR 1052540 |
| Reference:
|
[7] NIVEN I.: Averages of exponents in factoring integers.Proc. Amer. Math. Soc. 22 (1969), 356-363. Zbl 0181.05303, MR 0241373 |
| Reference:
|
[8] NIVEN L.-ZUCKERMAN S.: An Introduction to the Theory of Numbers.(2nd edition), John Willey, New York-London-Sydney, 1967. |
| Reference:
|
[9] OSTMANN H. H.: Additive Zahlentheorie I.Springer-Verlag, Berlin-Gotingen-Heidelberg, 1956. Zbl 0072.03101, MR 0098721 |
| Reference:
|
[10] OSTMANN H. H.: Additive Zahlentheorie II.Springer-Verlag, Berlin-Gotingen-Heidelberg, 1956. Zbl 0072.03102, MR 0098721 |
| Reference:
|
[11] RENYI A.: On the density of certain sequences of integers.Publ. Inst. Math. Acad. Serb. Sci. 8 (1955), 157-162. Zbl 0066.03203, MR 0076787 |
| Reference:
|
[12] ŠALÁT T.: On statistically convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. Zbl 0437.40003, MR 0587239 |
| Reference:
|
[13] SURYANARAYANA D.-SITA RAMA CHANDRA RAO R.: On the maximum and minimum exponents in factoring integers.Arch. Math. (Basel) 28 (1977), 261-269. MR 0437438 |
| . |
