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Parusnikov Vladimir Igorevich

Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25
Cited articles: 15
Citations in Math-Net.Ru: 73

Number of views:
This page:633
Abstract pages:1878
Full texts:898
References:243
Senior Researcher
Candidate of physico-mathematical sciences (1984)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 21.01.1957
E-mail:
Keywords: continued fractions; Diophantine equations; Pade approximants; products of linear forms; automorphism groups of lattices.
   
Main publications:
  • Parusnikov V. I. On the convergence of the multidimensional limit-periodic continued fractions // Lect. Notes in Math., 1985, 1237, 217–227.

http://www.mathnet.ru/eng/person17661
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List of publications on ZentralBlatt
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=203119

Publications in Math-Net.Ru
1. A continued fraction of a inhomogeneous linear form
V. I. Parusnikov
Keldysh Institute preprints, 2013, 058
2. About statistics of fractional parts of numbers $j$ alpha
V. I. Parusnikov
Keldysh Institute preprints, 2013, 005
3. 4-dimensional generalization of the continued fractions
V. I. Parusnikov
Keldysh Institute preprints, 2011, 078
4. Farei deries and continued fractions to the nearest even number
V. I. Parusnikov
Keldysh Institute preprints, 2010, 085
5. Continued fractions by the nearest even number. The short type
V. I. Parusnikov
Keldysh Institute preprints, 2008, 088
6. Continued fractions by the nearest even number
V. I. Parusnikov
Keldysh Institute preprints, 2008, 087
7. Two-sided generalization of the continued fraction
A. D. Bruno, V. I. Parusnikov
Keldysh Institute preprints, 2008, 058
8. New generalizations of the continued fraction
A. D. Bruno, V. I. Parusnikov
Keldysh Institute preprints, 2005, 052
9. Further generalization of the continued fraction
A. D. Bruno, V. I. Parusnikov
Keldysh Institute preprints, 2005, 040
10. A Generalization of Pincherle's Theorem to $k$-Term Recursion Relations
V. I. Parusnikov
Mat. Zametki, 78:6 (2005),  892–906
11. Klein polyhedra for three extremal cubic forms
V. I. Parusnikov
Mat. Zametki, 77:4 (2005),  566–583
12. Polyhedra of absolute values for triples of linear forms
A. D. Bruno, V. I. Parusnikov
Keldysh Institute preprints, 2003, 093
13. The Generalization of the Pinkerle Theorem for the K-term Recurrence Equations
V. I. Parusnikov
Keldysh Institute preprints, 2000, 083
14. New Generalized Continued Fractions for the Multiple Vectors of Extremal Forms
V. I. Parusnikov
Keldysh Institute preprints, 2000, 066
15. Klein polyhedra for the fourth extremal cubic form
V. I. Parusnikov
Mat. Zametki, 67:1 (2000),  110–128
16. Klein's Polyhedra for the Seventh Extremal Cubic Form
V. I. Parusnikov
Keldysh Institute preprints, 1999, 079
17. Klein's Polyhedra for the Fifth Extremal Cubic Form
V. I. Parusnikov
Keldysh Institute preprints, 1999, 069
18. Klein's Polyhedra for the Fifth Extremal Cubic Form
V. I. Parusnikov
Keldysh Institute preprints, 1998, 069
19. Klein's Polyhedra for the Forth Extremal Cubic Form
V. I. Parusnikov
Keldysh Institute preprints, 1998, 036
20. Klein's Polyhedra with Big Faces
V. I. Parusnikov
Keldysh Institute preprints, 1997, 093
21. Comparison of various generalizations of continued fractions
A. D. Bruno, V. I. Parusnikov
Mat. Zametki, 61:3 (1997),  339–348
22. Computational Realisation of the Exact Solution of the Incompressible Flow Problem in a Double-Connected Domain
L. R. Volevich, E. P. Kazandjan, V. I. Parusnikov
Keldysh Institute preprints, 1996, 024
23. Klein's Polyhedra for the Third Extremal Ternar Cubic Form
V. I. Parusnikov
Keldysh Institute preprints, 1995, 137
24. Klein polyhedrals for two cubic Davenport forms
A. D. Bruno, V. I. Parusnikov
Mat. Zametki, 56:4 (1994),  9–27
25. The Jacobi–Perron algorithm and simultaneous approximation of functions
V. I. Parusnikov
Mat. Sb. (N.S.), 114(156):2 (1981),  322–333

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