Doc. Viliaus Stakėno moksliniai straipsniai

  Racionalieji skaičiai, racionalaus argumento funkcijos
 
  1. The additive functions and rational approximations of real numbers, Liet. Matem. Rink., 1988, 28(3), 548-564. (Russian)
  2. Value distribution of additive functions of rational argument, Liet. Matem. Rink., 1988, 28(3), 565-581 (Russian, with J. Shiaulys).
  3. The additive functions and simultaneous rational approximations, Liet. Matem. Rink., 1989, 29(1), 129-147 (Russian).
  4. The Kubilius inequality for additive functions with rational argument, Liet. Matem. Rink., 1990, 30(1), 176-184 (Russian, with J. Shiaulys).
  5. Bounds for some sums over rational numbers, Liet. Matem. Rink., 1997, 37 (1), 87-95.
  6. Multiplicative functions of Farey fractions, In: New Trends in Probability and Statistics. V.4: Analytic and Probabilistic Methods in Number Theory. Proceedings on 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, 323-344 (with K.--H. Indlekofer).
  7. A sieve result for Farey fractions, Liet. Matem. Rink., 1999, 39 (1), 108-127 (Russian).
  8. On local frequencies related to Farey fractions, Liet. Matem. Rink., 2000, 40 (1), 113--131. (Russian).
  9. On the mean values of multiplicative functions over rational numbers, Annales Universitatis Scientiarum Budapestinensis, Sectio Computatorica, Tomus XXII, 331-351, 2003.
  10. On Farey fractions with small prime factors, Liet. Matem. Rink., 2004, 44 (3), 343--358.
  11. On some inequalities of probabilistic number theory, Liet. Matem. Rink., 2006, 46 (2), 256-266.
  12. On the multiples, In: Analytic and Probabilistic Methods in Number Theory. Proceedings on the Fourth Intern. Conf. in Honour of J. Kubilius, Palanga, Lithuania, 25-29 September 2006. Eds. A. Laurinčikas, E. Manstavičius, Vilnius: TEV, 2007, 213-224.
  13. On the uniformity of distribution of Farey fractions, Liet. Matem. Rink.,(Lietuvos matematikų draugijos darbai) 2009, 50, 14-17.
  Racionalieji artiniai, metrinės skaičių teorijos klausimai
 
  1. Approximation of Irrationals by m/n, Satisfying f(m/n)=a, In: New Trends in Probability and Statistics. 2: Analytic and Probabilistic Methods in Number Theory. Proceedings on 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, 31--36.
  2. A "zero-one" law for diophantine approximations, Liet. Matem. Rink., 1996, 36 (4), 524--529.
  3. A theorem on diophantine approximations, In: Proceedings of the Conference of Lithuanian Mathematical Society, 2: Supplement to ,,Liet. Matem. Rink.", Vilnius: Technika, 1998. 69-75 (Lithuanian).
  4. Probabilistic number theory and continuum, In: Proceedings of the Conference of Lithuanian Mathematical Society, 3: Supplement to ,,Liet. Matem. Rink.". Vilnius: Institute of Mathematics and Informatics, 1999, 93-99 (Lithuanian).
  5. On integer parts of some sequences , In: Proceedings of the Conference of Lithuanian Mathematical Society, 3: Supplement to ,,Liet. Matem. Rink.". Vilnius: Institute of Mathematics and Informatics, 2000, 76-80.
  6. On integer and fractional parts of some sequences , In: Proceedings of the Conference of Lithuanian Mathematical Society, 3: Supplement to ,,Liet. Matem. Rink.". Vilnius: Institute of Mathematics and Informatics, 2001.
  Aritmetinių funkcijų reikšmių pasiskirstymas
 
  1. A local theorem for a class of integer valued multiplicative functions, Liet. Matem. Rink., 1983, 23 (4), 91-92. (Russian)
  2. The local theorems for integer valued multiplicative functions with local conditions on the powers of primes, Liet. Matem. Rink., 1984, 24(1), 181-200. (Russian)
  3. On the local distribution of values of some arithmetical functions, Liet. Matem. Rink., 1984, 24(4), 176-193. (Russian)
  4. On the local distribution of values of multiplicative arithmetical functions, Liet. Matem. Rink., 1985, 25(1), 174-183. (Russian)
  5. The value distribution of arithmetic functions and maximum of independent random variables, Liet. Matem. Rink., 1991, 31(1), 180-186.
  6. Note on arithmetical functions and multiples, Liet. Matem. Rink.,(Lietuvos matematikų draugijos darbai) 2008, 48/49, 38-43.