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Parusnikov, Vladimir Igorevich
Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 27

Number of views:
This page:1583
Abstract pages:12165
Full texts:4859
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.

https://www.mathnet.ru/eng/person17661
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/203119

Publications in Math-Net.Ru Citations
2013
1. V. I. Parusnikov, “A continued fraction of a inhomogeneous linear form”, Keldysh Institute preprints, 2013, 058, 15 pp.  mathnet
2. V. I. Parusnikov, “About statistics of fractional parts of numbers $j$ alpha”, Keldysh Institute preprints, 2013, 005, 16 pp.  mathnet
2011
3. V. I. Parusnikov, “4-dimensional generalization of the continued fractions”, Keldysh Institute preprints, 2011, 078, 16 pp.  mathnet 4
2010
4. V. I. Parusnikov, “Farei deries and continued fractions to the nearest even number”, Keldysh Institute preprints, 2010, 085, 12 pp.  mathnet
2008
5. V. I. Parusnikov, “Continued fractions by the nearest even number. The short type”, Keldysh Institute preprints, 2008, 088, 12 pp.  mathnet
6. V. I. Parusnikov, “Continued fractions by the nearest even number”, Keldysh Institute preprints, 2008, 087, 27 pp.  mathnet
7. A. D. Bruno, V. I. Parusnikov, “Two-sided generalization of the continued fraction”, Keldysh Institute preprints, 2008, 058, 25 pp.  mathnet
2005
8. A. D. Bruno, V. I. Parusnikov, “New generalizations of the continued fraction”, Keldysh Institute preprints, 2005, 052, 17 pp.  mathnet 1
9. A. D. Bruno, V. I. Parusnikov, “Further generalization of the continued fraction”, Keldysh Institute preprints, 2005, 040  mathnet 2
10. V. I. Parusnikov, “A Generalization of Pincherle's Theorem to $k$-Term Recursion Relations”, Mat. Zametki, 78:6 (2005),  892–906  mathnet  mathscinet  zmath  elib; Math. Notes, 78:6 (2005), 827–840  isi  elib  scopus 3
11. V. I. Parusnikov, “Klein polyhedra for three extremal cubic forms”, Mat. Zametki, 77:4 (2005),  566–583  mathnet  mathscinet  zmath  elib; Math. Notes, 77:4 (2005), 523–538  isi  scopus 4
2003
12. A. D. Bruno, V. I. Parusnikov, “Polyhedra of absolute values for triples of linear forms”, Keldysh Institute preprints, 2003, 093, 21 pp.  mathnet 3
2000
13. V. I. Parusnikov, “The Generalization of the Pinkerle Theorem for the K-term Recurrence Equations”, Keldysh Institute preprints, 2000, 083  mathnet
14. V. I. Parusnikov, “New Generalized Continued Fractions for the Multiple Vectors of Extremal Forms”, Keldysh Institute preprints, 2000, 066  mathnet
15. V. I. Parusnikov, “Klein polyhedra for the fourth extremal cubic form”, Mat. Zametki, 67:1 (2000),  110–128  mathnet  mathscinet  zmath; Math. Notes, 67:1 (2000), 87–102  isi 11
1999
16. V. I. Parusnikov, “Klein's Polyhedra for the Seventh Extremal Cubic Form”, Keldysh Institute preprints, 1999, 079  mathnet 1
17. V. I. Parusnikov, “Klein's Polyhedra for the Fifth Extremal Cubic Form”, Keldysh Institute preprints, 1999, 069  mathnet 1
1998
18. V. I. Parusnikov, “Klein's Polyhedra for the Fifth Extremal Cubic Form”, Keldysh Institute preprints, 1998, 069  mathnet 1
19. V. I. Parusnikov, “Klein's Polyhedra for the Forth Extremal Cubic Form”, Keldysh Institute preprints, 1998, 036  mathnet
1997
20. V. I. Parusnikov, “Klein's Polyhedra with Big Faces”, Keldysh Institute preprints, 1997, 093  mathnet 1
21. A. D. Bruno, V. I. Parusnikov, “Comparison of various generalizations of continued fractions”, Mat. Zametki, 61:3 (1997),  339–348  mathnet  mathscinet  zmath; Math. Notes, 61:3 (1997), 278–286  isi 28
1996
22. L. R. Volevich, E. P. Kazandjan, V. I. Parusnikov, “Computational Realisation of the Exact Solution of the Incompressible Flow Problem in a Double-Connected Domain”, Keldysh Institute preprints, 1996, 024  mathnet 1
1995
23. V. I. Parusnikov, “Klein's Polyhedra for the Third Extremal Ternar Cubic Form”, Keldysh Institute preprints, 1995, 137  mathnet
1994
24. A. D. Bruno, V. I. Parusnikov, “Klein polyhedrals for two cubic Davenport forms”, Mat. Zametki, 56:4 (1994),  9–27  mathnet  mathscinet  zmath; Math. Notes, 56:4 (1994), 994–1007  isi 19
1984
25. V. I. Parusnikov, “The rate of coefficientwise convergence of simultaneous approximations obtained by the Jacobi–Perron algorithm”, Sibirsk. Mat. Zh., 25:6 (1984),  128–135  mathnet  mathscinet  zmath; Siberian Math. J., 25:6 (1984), 935–941  isi 1
26. V. I. Parusnikov, “Weakly complete systems of functions and multidimensional continued fractions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 2,  13–17  mathnet  mathscinet  zmath 1
1981
27. V. I. Parusnikov, “The Jacobi–Perron algorithm and simultaneous approximation of functions”, Mat. Sb. (N.S.), 114(156):2 (1981),  322–333  mathnet  mathscinet  zmath; Math. USSR-Sb., 42:2 (1982), 287–296 27

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