Remarks on maximum and minimum exponents in factoring

Andrzej Schinzel; Tibor Šalát

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 5, page 505-514
  • ISSN: 0139-9918

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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

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  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

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