The full list of publications of G. Stepanauskas

  1. On the distribution of additive arithmetical functions on an arithmetical progression, Liet. Matem. Rink., 1979, 19(4), 175-190 (Russian); Distribution of additive functions on arithmetic progressions, Lith. Math. J., 552-561.
  2. The local limit law for one class of arithmetical functions, Liet. Matem. Rink., 1980, 20(2), 159-174 (Russian); Local limit theorem for a class of arithmetic functions, Lith. Math. J. , 165-175.
  3. On the local limit theorem for additive arithmetical functions, Liet. Matem. Rink., 1980, 20(3), 146-147 (Russian).
  4. The local and integral laws of the distribution of additive arithmetical functions, Doctor dissertation, Vilnius, 1980, 124 p. (Russian).
  5. The local and integral laws of the distribution of additive arithmetical functions, Theses of the Doctor dissertation, Vilnius, 1980, 14 p. (Russian).

    Po daktaro disertacijos gynimo

  6. On the large deviations of additive arithmetical functions, Liet. Matem. Rink., 1981, 21(3), 105-106 (Russian).
  7. The local theorem of large deviations for additive functions, Liet. Matem. Rink., 1982, 22(3), 170-184 (Russian).
  8. The local theorem for additive functions on arithmetical progression, 24th Conf. of Lith. Math. Soc., June 22-23, 1983, Vilnius: Abstracts of Comm., Vilnius, 1983, 186-187 (Russian).
  9. The multi-dimensional local distribution of some additive functions, 25th Conf. of Lith. Math. Soc., June 14-15, 1984, Šiauliai: Abstracts of Comm., Vilnius, 1984, 276-277 (Russian).
  10. The local theorem for integer-valued multiplicative functions, 26th Conf. of Lith. Math. Soc., June 13-14, 1985, Vilnius: Abstracts of Comm., Vilnius, 1985, 253-254 (Russian).
  11. Two local theorems for multiplicative functions, Fourth Intern. Vilnius Conf. on Probab. Theory and Math. Statistics, June 24-29, 1985, Vilnius: Abstracts of Comm., 4, Vilnius, 1985, 293-295.
  12. A local property of additive functions on arithmetical progression, USSR Conf. „Number Theory and its Applications“, September 17-19, 1985, Tbilissi: Abstracts of Comm., Tbilissi, 1985, 247-248 (Russian).
  13. On the mean values of some multiplicative functions, 27th Conf. of Lith. Math. Soc., June 26-27, 1986, Kaunas: Abstracts of Comm., 1, Vilnius, 1986, 28-29 (Russian).
  14. (1) Local distribution of additive functions in arithmetic progression, Liet. Matem. Rink., 1986, 26(4), 768-777 (Russian); Lith. Math. J., 363-389.
  15. (2) Remark on a theorem of G. Halasz, Liet. Matem. Rink., 1987, 27(2), 357-361 (Russian); Lith. Math. J., 159-163.
  16. The local properties of some additive functions, 29th Conf. of Lith. Math. Soc., June 20-21, 1988, Kaunas: Abstracts of Comm., 1, Vilnius, 1988, 120-122 (Russian).
  17. The estimate of the rate of convergence in the local theorem for additive functions, 30th Conf. of Math. Soc., June 22-23, 1989, Vilnius: Abstracts of Comm., Vilnius, 1989, 16-17 (with A.Mačiulis) (Lithuanian).
  18. The local properties of additive functions, USSR School ,,Constructive Methods and Algorithms of Number Theory“, September 10-16, 1989, Minsk: Abstracts of Comm., Minsk, 1989, 137 (Russian).
  19. The local theorem for non-negative additive arithmetic functions, Fifth Intern. Vilnius Conf. on Probab. Theory and Math. Statistics, Vilnius, June 26-July 1 1989: Abstracts of Comm., 2, Vilnius, 1989, 166.
  20. The local theorems for additive arithmetic functions, Probab. Theory and Math. Stat., Proceedings of the fifth Vilnius Conf., 2, Vilnius, 1990, 159-167.
  21. (3) The local behaviour of some multiplicative functions, Annales. Univ. Sci. Budapest., Sect. Math., 1991, 34, 81-91.
  22. (4) The multi-dimensional local theorem for additive arithmetic functions. In: New Trends in Probability and Statistics. V.2: Analytic and Probabilistic Methods in Number Theory. Proceedings of the Intern. Conf. in Honour of J.Kubilius, Palanga, Lithuania, 24-28 September 1991. Eds. F.Schweiger and E.Manstavičius, Vilnius: TEV, Utrecht: VSP, 1992, 285-291.
  23. (5) The local behaviour of some additive functions, Acta Math. Acad. Sci. Hungar., 1993, 62(3-4), 363-371.
  24. The asymptotics of the integer-solutions of the equations ax=b and ax+by=c, 34th Conf. of Lith. Math. Soc., June 18-19, 1993, Vilnius: Abstracts of Comm., 1, Vilnius, 1993, 27 (with E. Podčapko) (Lithuanian).
  25. The program of preliminary examination in mathematics, Vilnius, Vilniaus univesiteto leidykla, 1993, 4 p.
  26. The mean values of multiplicative functions, I, Preprint 94-11, Vilnius University Department of Mathematics, 1994, 10 p.
  27. The mean values of multiplicative functions on shifted primes, Preprint 94-12, Vilnius University Department of Mathematics, 1994, 11 p.
  28. The mean values of multiplicative functions on shifted primes, Arbeitsberichte, 1994, Nr. 2, Institut für Mathematik der Universität Salzburg, 53-64.
  29. The mean values of multiplicative functions, 35th Conf. of Lith. Math. Soc., June 16-17, 1994, Kaunas: Abstracts of Comm., Vilnius, 1994, 23-24 (Lithuanian).
  30. The multi-variable functions, Vilnius University, 1995, 111 p. (with A.Raudeliūnas).
  31. The mean values of multiplicative functions with shifted arguments, Second Intern. Conf. „Algebraic, Probabilistic, Geometrical, Combinatorial and Functional Methods of Number Theory“, September 25-30, 1995, Voronezh: Abstracts of Comm., Voronezh (Russia), 1995, 144 (Russian).
  32. The mean values of some multiplicative functions with shifted arguments, 36th Conf. of Lith. Math. Soc., June 22-23, 1995, Vilnius: Abstracts of Comm., Vilnius, 1995, 32-33 (Lithuanian).
  33. The survey of analytic number theory, Journal of Mathematics: „Alfa plius omega“, 1996, 1, 19-45, (with V.Stakėnas) (Lithuanian).
  34. The mean values of multiplicative functions, II, Preprint 96-9, Vilnius University Department of Mathematics, 1996, 12 p.
  35. The correlation of multiplicative functions, 37th Conf. of Lith. Math. Soc., June 20-21, 1996, Kaunas: Abstracts of Comm., Vilnius, 1996, 30-31 (Lithuanian).
  36. On correlation of multiplicative functions, Third Russian-Intern. Conf. „Contemporary Problems of Number Theory and its Applications“, September 9-14, 1996, Tula: Abstracts of Comm., Tula, 1996, 136 (Russian).
  37. The mean values of multiplicative functions, III, Preprint 96-18, Vilnius University Department of Mathematics, 1996, 14 p.
  38. Series: Lectures for the Students of the Faculty of Physics. 1997, 87 p. (Lithuanian).
  39. (6) The mean values of multiplicative functions. II, Liet. Matem. Rink., 1997, 37(2), 212-223; Lith. Math. J., 162-170.
  40. (7) The mean values of multiplicative functions on shifted primes, Liet. Matem. Rink., 1997, 37(4), 588-599; Lith. Math. J., 443-451.
  41. (8) The mean values of multiplicative functions. III, In: New Trends in Probability and Statistics. V. 4: Analytic and Probabilistic Methods in Number Theory. Proceedings of the Second Intern. Conf. in Honour of J.Kubilius, Palanga, Lithuania, 23-27 September 1996. Eds. A.Laurinčikas, E.Manstavičius and V.Stakėnas, Vilnius: TEV, Utrecht: VSP, 1997, 371-387.
  42. The mean values of multiplicative functions, IV, Preprint 98-1, Vilnius University Department of Mathematics, 1998, 24 p.
  43. (9) The mean values of multiplicative functions. IV, Publicationes Mathematicae Debrecen, 1998, 52, Fasc.3-4, 659-681.
  44. On the correlation of multiplicative functions, Proc. of the International Conference „Numbers, Functions, Equations'98“, May 31-June 6, 1998, Noszvaj (Hungary), Pecs, 1998, 141.
  45. Correlation of the multiplicative functions, 39th Conf. of Lith. Math. Soc., June 18-19, Kaunas: Abstracts of Comm., Vilnius: MII, 1998, 31-32 (Lithuanian).
  46. Correlation of multiplicative functions, 22nd European Meeting of Statisticians, 7th Vilnius Conf. on Probability Theory and Mathematical Statistics, August 12-18, 1998, Vilnius, Lithuania: Abstracts of Comm., Vilnius: TEV, 1998. 422.
  47. The numbers of Fibonacci, Journal of Mathematics: „Alfa plius omega“, 1998, 2(6), 78-84 (Lithuanian).
  48. The recursive sequences, Dialogas, 1999, March 19, 11(366) (Lithuanian).
  49. On consecutive values of multiplicative functions, Preprint 99-8, Vilnius University Department of Mathematics and Informatics, 1999, 24 p.
  50. A note on the Liouville function, Paul Erdös and His Mathematics: Research Communications of conference held in the memory of Paul Erdös, Budapest, Hungary, July 4-11, 1999. Budapest: Janos Bolyai Mathematical Society, 245-248.
  51. The mean values of multiplicative functions V: The large Δ, Preprint 99-25, Vilnius University Department of Mathematics and Informatics, 1999, 9 p.
  52. (10) The mean values of multiplicative functions, I, Annales Univ. Sci. Budapest., Sect. Comp., 1999, 18, 175-186.
  53. On the weak convergence of the set of additive functions to the Poisson law, Preprint 2000-18, Vilnius University Department of Mathematics and Informatics, 2000, 9 p. (with J.Šiaulys).
  54. On multiplicative functions at consecutive integers, Preprint 2000-19, Vilnius University Department of Mathematics and Informatics, 2000, 5 p.
  55. Numeration systems, Journal of Mathematics and Informatics: „Alfa plius omega“, 2000, 2(10), 30-38 (Lithuanian).
  56. Recurrent sequences, For Yang Mathematician, I, Eds. A. Apynis, E. Stankus, and J. Šinkūnas, Vilnius: Danieliaus leidykla, 2001, 17-23, 99-102 (Lithuanian).
  57. The mean values of multiplicative functions. V, Analytic and Probabilistic Methods in Number Theory. Proceedings of 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, 272-281.
  58. Definite integral: Lectures for the Students of the Faculty of Fhysics. 2002, 107 p. (Lithuanian).
  59. On the local limit behavior of the values of arithmetic functions, 8th International Vilnius Conf. on Probability Theory and Mathematical Statistics, June 23-29, 2002, Vilnius, Lithuania: Abstracts of Comm., 2002, 308.
  60. Statistical modeling: Lectures for the Students of the Faculty of Mathematics and Informatics. 2002, 187 p. (Lithuanian).
  61. Sequences, For a Yang Mathematician, III, Eds. A. Apynis, E. Stankus, and J. Šinkūnas, Vilnius: Danieliaus leidykla, 2002, 69-76, 121-126, (Lithuanian).
  62. The local behaviour of some additive functions, Preprint 03-13, Vilnius University Department of Mathematics and Informatics, 2003, 5 p. (with J.Šiaulys).
  63. (11) The local behaviour of some additive functions, Proceedings XLIV Conf. Lith. Math. Soc., June 19-20, Vilnius 2003, Special Issue Lith.Math. J., 2003, 43, 84-88 (with J.Šiaulys).
  64. The factorial moments of additive functions with rational argument, Preprint 03-14, Vilnius University Department of Mathematics and Informatics, 2003, 21 p. (with J.Šiaulys).
  65. Numeration systems, For a Yang Mathematician, IV, Eds. A. Apynis, E. Stankus, and J. Šinkūnas, Vilnius: Danieliaus leidykla, 2003, 8-16 (Lithuanian).
  66. A few minds on the one mathematical problem, Journal of Mathematics and Informatics: „Alfa plius omega“, 2003, 1(17), 84-85 (Lithuanian).
  67. Number divisors, For a Yang Mathematician, V, 2004, Eds. A. Apynis, E. Stankus, and J. Šinkūnas, Vilnius: Danieliaus leidykla, 2004, 25-36, 110-114 (Lithuanian).
  68. The sequences of additive functions of the Kubilius type, Preprint 05-08, Vilnius University Department of Mathematics and Informatics, 2005, 12 p. (with J.Šiaulys).
  69. On mean value of the product of multiplicative functions with shifted argument, Preprint 05-22, Vilnius University Department of Mathematics and Informatics, 2005, 10 p. (with J.Šiaulys).
  70. The method of characteristic functions in probabilistic number theory, II International Conf. Applied Mathematics, 2, August 12-18, 2005, Plovdiv, Bulgaria, Abstracts, Eds. D.Bainov and S.Nenov, 2005, 259.
  71. (12) Kubilius-type sequences of additive functions, Liet. Matem. Rink., 2005, 45(2), 270-281; Lith. Math. J., 225-234 (with J.Šiaulys).
  72. On the mean values of the product of shifted multiplicative functions, 9th International Vilnius Conf. on Probability Theory and Mathematical Statistics, June 25-30, 2006, Vilnius, Lithuania: Abstracts of Comm., Vilnius: TEV, 2006, 300.
  73. Markov chain Monte Carlo: Lectures for the Students of the Faculty of Mathematics and Informatics. 2006, 132 p. (Lithuanian).
  74. Europe technology platforms in the area of information and communication technologies (ICT) (Europos technologijų platformos informacijos ir ryšių technologijų (IRT) srityje), 2006, http://www.tpa.lt/7BP/Specifines_programos/Bendradarbiavimas/files/IRT/Europos_IRT_TP.pdf, 18 p.
  75. (13) The factorial moments of additive functions with rational argument, J. Australian Math. Soc., 2006, 81, 425-440 (with J.Šiaulys).
  76. (14) On the mean value of the product of multiplicative functions with shifted argument, Monatsh. Math., 2007, 150, 343-351 (with J.Šiaulys).
  77. The Poisson distribution for a sum of additive functions on shifted primes, Preprint 07-05, Vilnius University Department of Mathematics and Informatics, 2007, 13 p.(with J.Šiaulys).
  78. The Poisson distribution for a sum of additive functions with shifted arguments, Preprint 07-06, Vilnius University Department of Mathematics and Informatics, 2007, 13 p. (with J.Šiaulys).
  79. (15) Poisson distribution for a sum of additive functions, Acta Appl. Math., 2007, 97, 269-279 (with J.Šiaulys).
  80. Multiplikatyviųjų funkcijų vidurkiai ir aritmetinių funkcijų ribiniai skirstiniai. Habilitacijos procedūrai teikiamų mokslo darbų apžvalga. Fiziniai mokslai, matematika (01P), Vilniaus universitetas, Vilnius, 2007, 21 p.

    Po habilitacijos procedūros

  81. The Poisson law for additive functions on shifted primes. Analytic and Probabilistic Methods in Number Theory. Proceedings of the Fourth Intern. Conf. in Honour of J.Kubilius, Palanga, Lithuania, 25-29 September 2006. Eds. A.Laurinčikas and E.Manstavičius, Vilnius: TEV, 2007, 204-212 (with J.Šiaulys).
  82. Poisson distribution for a sum of additive functions on shifted primes. Acta Arithm., 2007, 130, 403-414 (with J.Šiaulys).
  83. Travelling Salesman Problem in Calculations of Cargo Transportation Routes, Transport Means 2007: Proceedings of the 11th International Conference, October 18-19,2007, Kaunas: Technologija, Kaunas, 2007, 87-90 (with E. Kutka).
  84. Poisson distribution for a sum of additive functions on arithmetic progressions, Preprint 07-28 , Vilnius University Department of Mathematics and Informatics, 2007, 12 p. (with J.Šiaulys).

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