Remarks on maximum and minimum exponents in factoring

Andrzej Schinzel; Tibor Šalát

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 5, page 505-514
  • ISSN: 0232-0525

How to cite

top

Schinzel, Andrzej, and Šalát, Tibor. "Remarks on maximum and minimum exponents in factoring." Mathematica Slovaca 44.5 (1994): 505-514. <http://eudml.org/doc/34394>.

@article{Schinzel1994,
author = {Schinzel, Andrzej, Šalát, Tibor},
journal = {Mathematica Slovaca},
keywords = {asymptotic density; normal order},
language = {eng},
number = {5},
pages = {505-514},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Remarks on maximum and minimum exponents in factoring},
url = {http://eudml.org/doc/34394},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Schinzel, Andrzej
AU - Šalát, Tibor
TI - Remarks on maximum and minimum exponents in factoring
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 5
SP - 505
EP - 514
LA - eng
KW - asymptotic density; normal order
UR - http://eudml.org/doc/34394
ER -

References

top
  1. COOPER C. N.-KENNEDY R. E., Chebyshev's inequality and natural density, Amer. Math. Monthly 96 (1989), 118-124. (1989) Zbl0694.10004MR0992072
  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. (1990) MR1088609
  3. DELANGE H., Sur une theoreme de Renyi, Acta Arith. XI (1965), 241-252. (1965) MR0201398
  4. FAST H., Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244. (1951) Zbl0044.33605MR0048548
  5. HARDY G. H.-WRIGHT E. M., An Introduction to the Theory of Numbers, (3rd edition), Clarendon Press, Oxford, 1954. (1954) Zbl0058.03301MR0067125
  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. (1990) Zbl0713.11002MR1052540
  7. NIVEN I., Averages of exponents in factoring integers, Proc. Amer. Math. Soc. 22 (1969), 356-363. (1969) Zbl0181.05303MR0241373
  8. NIVEN L.-ZUCKERMAN S., An Introduction to the Theory of Numbers, (2nd edition), John Willey, New York-London-Sydney, 1967. (1967) 
  9. OSTMANN H. H., Additive Zahlentheorie I, Springer-Verlag, Berlin-Gotingen-Heidelberg, 1956. (1956) Zbl0072.03101MR0098721
  10. OSTMANN H. H., Additive Zahlentheorie II, Springer-Verlag, Berlin-Gotingen-Heidelberg, 1956. (1956) Zbl0072.03102MR0098721
  11. RENYI A., On the density of certain sequences of integers, Publ. Inst. Math. Acad. Serb. Sci. 8 (1955), 157-162. (1955) Zbl0066.03203MR0076787
  12. ŠALÁT T., On statistically convergent sequences of real numbers, Math. Slovaca 30 (1980), 139-150. (1980) Zbl0437.40003MR0587239
  13. SURYANARAYANA D.-SITA RAMA CHANDRA RAO R., On the maximum and minimum exponents in factoring integers, Arch. Math. (Basel) 28 (1977), 261-269. (1977) MR0437438

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.