On some modifications of two theorems of Erdős

Katalin Kovács

Acta Mathematica et Informatica Universitatis Ostraviensis (1998)

  • Volume: 06, Issue: 1, page 145-148
  • ISSN: 1804-1388

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Kovács, Katalin. "On some modifications of two theorems of Erdős." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 145-148. <http://eudml.org/doc/23805>.

@article{Kovács1998,
author = {Kovács, Katalin},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {completely additive functions},
language = {eng},
number = {1},
pages = {145-148},
publisher = {University of Ostrava},
title = {On some modifications of two theorems of Erdős},
url = {http://eudml.org/doc/23805},
volume = {06},
year = {1998},
}

TY - JOUR
AU - Kovács, Katalin
TI - On some modifications of two theorems of Erdős
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 145
EP - 148
LA - eng
KW - completely additive functions
UR - http://eudml.org/doc/23805
ER -

References

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  1. Elliott P.D.T.A., Arithmetic functions and integer products, Grundlehren der mathematischen Wissenschaften, Bd. 272, Springer Verlag, New York-Berlin, 1985 MR 86j:11095. (1985) Zbl0559.10032MR0766558
  2. Erdős P., On the distribution function of additive functions, Ann. of Math. (2) 47 (1946,1-20 MR 7-416). (1946) MR0015424
  3. Kátai L, Characterization of log n, Studies in Pure Mathematics, Birkhäuser- Verlag, BaseLBoston, Mass., 1983, 415-421 MR 86m:11073. (1983) MR0820239
  4. Kovács K., On a conjecture of Kátai, Studia Sci. Math. Hungar. 28 (1993 237-242). (1993) MR1266806
  5. Kovács K., On a conjecture concerning aditive number theoretical functions II, (1997 (1-2), 177-179), Math. Debrecen., 50. (1997) MR1436398
  6. Wirsing E., Additive and completely additive functions with restricted growth, Recent Progress in Analytic Number Theory (Proc. Sympos. Durham, 1979), Vol.2, (York, 1981 , 231-280 MR 83a:10096), Academic Press, London-New. (1979) MR0637365

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