Publications of Ognian Trifonov

Below is a list of most of my publications in reverse chronological order. This list was obtained with a MathSciNet search and all links below (including Math Reviews) will provide the corresponding information from MathSciNet. You can only access these links if your location has an account with them. (Last updated: 10/04/98.)

[1] 1 397 690 Filaseta, Michael; Trifonov, Ognian The distribution of fractional parts with applications to gap results in number theory. Proc. London Math. Soc. (3) 73 (1996), no. 2, 241--278. 11J54 (11N25 11P21)

[2] 97a:11148 Trifonov, Ognyan On gaps between $k$-free numbers. J. Number Theory 55 (1995), no. 1, 46--59. (Reviewer: Michael Filaseta) 11N25

[3] 96k:11114 Huxley, M. N.; Trifonov, O. The square-full numbers in an interval. Math. Proc. Cambridge Philos. Soc. 119 (1996), no. 2, 201--208. (Reviewer: A. Perelli) 11N25

[4] 95k:11116 Filaseta, Michael; Trifonov, Ognian The distribution of squarefull numbers in short intervals. Acta Arith. 67 (1994), no. 4, 323--333. (Reviewer: Claudia A. Spiro-Silverman) 11N25 (11K65 11N37)

[5] 94g:42001 Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O. Distribution of interpolation points of best $L\sb 2$-approximants ($n$th partial sums of Fourier series). Constr. Approx. 9 (1993), no. 4, 445--472. 42A05 (42A15)

[6] 93h:11103 Filaseta, Michael; Trifonov, Ognian On gaps between squarefree numbers. II. J. London Math. Soc. (2) 45 (1992), no. 2, 215--221. (Reviewer: S. W. Graham) 11N25 (11B05)

[7] 92a:11106 Trifonov, Ognian On the gaps between consecutive $k$-free numbers. Math. Balkanica (N.S.) 4 (1990), no. 1, 50--60. (Reviewer: S. W. Graham) 11N25

[8] 92a:11105 Filaseta, Michael; Trifonov, Ognian On gaps between squarefree numbers. Analytic number theory (Allerton Park, IL, 1989), 235--253, Progr. Math., 85, Birkhäuser Boston, Boston, MA, 1990. (Reviewer: S. W. Graham) 11N25

[9] 91b:11095 Trifonov, Ognian On the squarefree problem. II. Math. Balkanica (N.S.) 3 (1989), no. 3-4, 284--295. (Reviewer: S. W. Graham) 11N25

[10] 90e:11145 Trifonov, O. On the number of the lattice points in some two-dimensional domains. C. R. Acad. Bulgare Sci. 41 (1988), no. 11, 25--27. (Reviewer: Ekkehard Krätzel) 11P21

[11] 90b:11089 Trifonov, O. On the squarefree problem. C. R. Acad. Bulgare Sci. 41 (1988), no. 12, 37--40. (Reviewer: S. W. Graham) 11N25