Zobrazeno 1 - 10 of 19 pro vyhledávání: '"Ognian Trifonov"'
1
Starting with gaps between k-free numbers
Autor: Michael Filaseta, Ognian Trifonov, S. Graham
Publikováno v: International Journal of Number Theory. 11:1411-1435
We survey various developments in Number Theory that were inspired by classical papers by Roth [On the gaps between squarefree numbers, J. London Math. Soc. 26 (1951) 263–268] and by Halberstam and Roth [On the gaps between consecutive k-free integ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a977665dc54f3d88140e10cf360d75b3
https://doi.org/10.1142/s1793042115400199
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2
Laguerre polynomials with Galois group Am for each m
Autor: Ognian Trifonov, Michael Filaseta, Travis Kidd
Publikováno v: Journal of Number Theory. 132:776-805
In 1892, D. Hilbert began what is now called Inverse Galois Theory by showing that for each positive integer m, there exists a polynomial of degree m with rational coefficients and associated Galois group S m , the symmetric group on m letters, and t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99210ce909ce40e3e2344988a9fa2691
https://doi.org/10.1016/j.jnt.2011.09.012
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3
ON VALUES OF d(n!)/m!, ϕ(n!)/m! AND σ(n!)/m!
Autor: Michael Filaseta, Daniel Baczkowski, Ognian Trifonov, Florian Luca
Publikováno v: International Journal of Number Theory. :1199-1214
For f one of the classical arithmetic functions d, ϕ and σ, we establish constraints on the quadruples (n, m, a, b) of integers satisfying f(n!)/m! = a/b. In particular, our results imply that as nm tends to infinity, the number of distinct prime d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c938f8b34bdd0e3002e19cf2daa66bee
https://doi.org/10.1142/s1793042110003435
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5
One-sided stability and convergence of the Nessyahu–Tadmor scheme
Autor: Ognian Trifonov, Bojan Popov
Publikováno v: Numerische Mathematik. 104:539-559
Non-oscillatory schemes are widely used in numerical approximations of nonlinear conservation laws. The Nessyahu–Tadmor (NT) scheme is an example of a second order scheme that is both robust and simple. In this paper, we prove a new stability prope
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::97d31637b818ec3d044e5b5f9f08dae5
https://doi.org/10.1007/s00211-006-0015-4
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6
Order of convergence of second order schemes based on the minmod limiter
Autor: Ognian Trifonov, Bojan Popov
Publikováno v: Mathematics of Computation. 75:1735-1753
Many second order accurate nonoscillatory schemes are based on the minmod limiter, e.g., the Nessyahu–Tadmor scheme. It is well known that the L p L_p -error of monotone finite difference methods for the linear advection equation is of order 1 / 2
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2d9b42338bb1e71b9d7d37c5b7c0b12f
https://doi.org/10.1090/s0025-5718-06-01875-8
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7
On Convergence of Minmod-Type Schemes
Autor: Bojan Popov, Ognian Trifonov, Sergei Konyagin
Publikováno v: SIAM Journal on Numerical Analysis. 42:1978-1997
A class of nonoscillatory numerical methods for solving nonlinear scalar conservation laws in one space dimension is considered. This class of methods contains the classical Lax--Friedrichs and the second-order Nessyahu--Tadmor schemes. In the case o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::213a48e992c94dd3172f8fe8ab4ce0fb
https://doi.org/10.1137/s0036142903423861
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8
LATTICE POINTS CLOSE TO A SMOOTH CURVE AND SQUAREFULL NUMBERS IN SHORT INTERVALS
Autor: Ognian Trifonov
Publikováno v: Journal of the London Mathematical Society. 65:303-319
An approach of Swinnerton-Dyer is extended to obtain new upper bounds for the number of lattice points close to a smooth curve. One consequence of these bounds is a new asymptotic result for the distribution of squarefull numbers in short intervals.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc2dec7488610e09136c4cd11a5940fe
https://doi.org/10.1112/s0024610701002939
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