Selected publications

  1. On the convergence rate of value distribution of additive functions to a non-normal limit law, Liet. Matem. Rink., 1982, 21(3), p. 102-104 (Russian).
  2. An integral limit theorem of large deviations of integer-valued additive functions, Liet. Matem. Rink., 1982, 22(3), p. 135-145 (Russian).
  3. A lemma on large deviations of arithmetic functions, Liet. Matem. Rink., 1983, 23(1), p. 141-151 (Russian).
  4. Some applications of mean value of multiplicative functions, In: Proc. of Allunion Conf. on Theory of Transcendental Number and its Appl., Moscow, 1983, p. 89-90 (Russian).
  5. Sums of multiplicative functions and large deviations, Liet. Matem. Rink., 1983, 23(2), p.127-140 (Russian).
  6. On convergence rate in the CLT for additive functions, In:Proc. of 4th International Vilnius Conf. on Probability Th. and Math. Stat., Vilnius, 1985, p. 156.
  7. On the mean value of multiplicative functions, Liet. Matem. Rink., 1988, 28(3), p. 495-506 (Russian).
  8. The mean values of multiplicative functions defined on a semigroup, In: New Trends in Probability and Statistics, vol. 2: Analytic and Probabilistic Methods in Number Theory, F. Schweiger and E. Manstavičius (Eds), VSP/TEV, Utrecht/Vilnius, 1992, p. 121-133.
  9. The exact order of the convergence rate in the central limit theorem for additive functions, Liet. Matem. Rink., 1993, 33(3), p. 314-329 (Russian).
  10. The asymptotical expansion in the mean value theorem for multiplicative functions, In: New Trends in Probability and Statistics, vol. 4: Analytic and Probabilistic Methods in Number Theory, A. Laurinčikas, E. Manstavičius and V. Stakėnas (Eds), VSP/TEV, Utrecht/Vilnius, 1997, p. 151-155.
  11. Some estimates of Lp metric in the central limit theorem for additive functions, Liet. Matem. Rink., 1999, 39(1), p. 74-80 (Russian).
  12. A non-uniform estimate in the central limit theorem for sequencies of strongly additive functions, The Ramanujan Journal, 1999, 3(4), p. 389-404.
  13. On the limits for distributions of additive functions, Liet. matem. rink., 2000, 40, p. 49-54 (with J.Šiaulys).
  14. Some formulas for the moments of arithmetic functions,  8th International Vilnius Conference of Probability Theory and Mathematical Statistics, June 23--29, 2002. Abstracts of Communications, Vilnius: TEV, 2002, p. 184-185.
  15. Some formulas for the moments of additive functions, In:  Analytic and Probabilistic Methods in Number Theory. Proceedings on the Third Intern. Conf. in Honour of J.Kubilius, Palanga, Lithuania, 24-28 September 2001. Eds. A.Dubickas, A.Laurinčikas and E.Manstavičius, Vilnius: TEV, 2002, p.169-174.
  16. On the local distance between arithmetical distributions, Lithuanian Mathematical Journal, 2005, 45(4), p. 487 - 492 (with J. J.Šiaulys).
  17. On the limit laws of distribution of additive functions, Ramanujan Journal, 2006, 12, p. 167-183 (with J. Šiaulys).
  18. Bounds for the local distance between arithmetical distributions, Acta Applicandae Mathematicae, 2007, 97, p. 261-267 (with J. Šiaulys).
  19. Some applications of IFS based on square symmetries, Nonlinear Analysis: Modelling and Control, 2012, 17(1), p. 16 - 26, (with G. Bareikis). http://www.lana.lt/journal/44/NA17102.pdf
  20. Asymptotic expectation of a sequence of arithmetical processes, Anal. Probab. Methods in Number Theory. Kubilius Memorial Volume, TEV, Vilnius, 2012, p. 35 - 48. (with G.Bareikis).
  21. Cesaro means related to the square of divisor function, Acta Arithmetica, 2012, 156(1), 83 - 99 (with G.Bareikis). doi:10.4064/aa156-1-7
  22. On the number of divisors in arithmetical semigroups, Annales Univ. Sci. Budapest. Sect. Comp., 2013, 39, 35 - 44 (with G. Bareikis). http://ac.inf.elte.hu/Vol_039_2013/035_39.pdf
  23. A sequence of distributions related to the divisor function, Lithuanian Mathematical Journal, 2014, 54(1), 1 - 7 (with G.Bareikis). doi:10.1007/s10986-014-9223-2
  24. On the second moment of an arithmetical process related to the natural divisors, The Ramanujan Journal, 2015, 37(1), 1 - 24 (with G.Bareikis). doi:10.1007/s11139-015-9675-y

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