References
P. Erdős and A. Wintner, Additive arithmetical functions and statistical independence,Amer. J. Math.,61 (1939), 713–721.
P. D. T. A. Elliott,Probabilistic Number Theory I, Springer Verlag (New York, 1979).
P. D. T. A. Elliott,Probabilistic Number Theory III, Springer Verlag (New York, 1980).
J. G. Babu,Probabilistic Methods in the Theory of Arithmetic Functions, Macmillan Lectures in Mathematics (New Delhi, 1978).
A. Hildebrand, An Erdős-Wintner theorem for differences of additive functions (manuscript).
P. D. T. A. Elliott, The value distribution of differences of additive arithmetic functions,J. Number Theory,32 (1989), 339–370.
P. D. T. A. Elliott, High power analogues of Turán-Kubilius inequality and an application to number theory,Canadian J. Math.,32 (1980), 893–907.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Indlekofer, K.H., Kátai, I. On the distribution of translates of additive functions. Acta Math Hung 61, 343–356 (1993). https://doi.org/10.1007/BF01874690
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01874690