Ben Gurion University of the
Negev E-mail: shevelev@ bgu.ac.il |
Publications in Mathematical
Journals
60. V. Shevelev (with P.J.C. Moses) Alice and Bob go
to dinner: A variation on menage, Integrers, Vol. 16 (2016) #A72.
59. V. Shevelev, S-exponential
numbers Acta
Arithmetica, Vol. 175 (2016) 385-395.
58. V. Shevelev (with
J.-P. Allouche and B. Cloitre) Beyond odious and
evil, Aequationes Math. Vol.
90 (2015) no. 2, 341-353.
57. V. Shevelev (with
D.L. Applegate, H. Havermann, B. Selcoe, N.J.A. Sloane, R. Zumkeller)
The Yellowstone
permutation, J. of Integer Sequences, Vol.18 (2015), article 15.6.7
56. V. Shevelev (with P.J.C.
Moses) Tangent power
sums and their applications, Integers, Vol. 14
(2014) #A64.
55. V. Shevelev Combinatorial
minors for matrix functions and their applications, Zeszyty
Naukowe Politechniki Slaskiej, ser. Matematyka Stozowana z.4 (2014) Nr col 1920.
54. V. Shevelev Spectrum of
permanent's values and its extremal magnitudes in \Lambda_n^3 and \Lambda_n(alpha,beta\gamma), Journal of Optimization, Vol.
2013 (2013) Article 289829.
53. V. Shevelev (with C.R.
Greathouse IV and P.J.C. Moses) On Intervals (kn,(k+1)n) Containing a Prime for
All n>1, J. of Integer Sequences, Vol. 16 (2013), Article 13.7.3, 1-14.
52. V. Shevelev (with J. Spilker) Up-down
coefficients for permutations. Elemente
der Mathematik, Vol. 68 (2013),
no.3, 115–127.
51. V. Shevelev (with P.J.C. Moses) On a sequence of polynomials with hypothetically integer coefficients,
Integers, Vol. 13 (2013) #A9.
50. V. Shevelev (with G.
Garcia-Pulgarin, J.M.Velaskuez-Soto,
J.H. Castillo) Overpseudoprimes, and Mersenne
and Fermat Numbers as Primover Numbers, J. of Integer
Sequences,
Vol. 15 (2012), Art. 12.7.7.
49. V.
Shevelev (with P. Pollack), On perfect and
near-perfect numbers,
J. of Number Theory, Vol. 132 (2012), 3037-3046.
48. V. Shevelev, On Stephan’s
conjectures concerning Pascal triangle modulo 2
and their polynomial generalization, J. of Algebra, Number
Theory: Advances and Appl., Vol. 7
(2012), no. 1, 11-29.
47.
V. Shevelev, Ramanujan
and Labos primes, their generalizations, and classification of primes. J. of Integer Sequences,
Vol. 15(2012), no.5, Article 12.5.4, 1-15.
46. V. Shevelev,
Number of
permutations with prescribed up-down structure as a function of two variables, INTEGERS, Vol. 12 (2012), Article #A1,
1-36.
45. V. Shevelev, A Problem of
Enumeration of Two-color Bracelets with Several Variations, J. of
Informatics & Math. Sc., Vol. 3, No. 3 (2011), 241-256 (the ArXiv version is here).
44. V. Shevelev,
"Binomial
coefficients predictors", J.
of Integer Sequences, Vol. 14
(2011), Article 11.2.8 , 1-7.
43. V. Shevelev, "On
Ramanujan Cubic Polynomials", South East Asian J. Math.&Math. Sc. 8, no.1 (2009),113-122.
42. V. Shevelev, "Exact exponent of
remainder term of Gelfond's digit theorem in binary
case", Acta Arith. 136, no.1 (2009), 91-100.
41. V. Shevelev, "Generalized
Newman phenomena and digit conjectures on primes", Intern. J. of
Math.&Math.
Sc. ID 908045 (2008),
1-12.
40. V. Shevelev (with S.Litsyn),
"On
factorization of integers with restrictions on the exponent", INTEGERS:
Electronic Journal of Combinatorial Number Theory, 7 (2007), #A33, 1-36.
39. V. Shevelev ,“Compact integers and
factorials”, Acta Arith.
126, no.3 (2007), 195-236.
38. V. Shevelev ,“On
divisibility of C(n-i-1, i-1) by i”, International
Journal of Number Theory, vol.3,
no.1 (2007), 119-139.
37. V. Shevelev (with S.Litsyn), “Irrational
Factors Satisfying the Little Fermat Theorem”. International
Journal of Number Theory, vol.1, no.4 (December 2005), 499-512.
36.
V. Shevelev (with I.P.Goulden
and S.Litsyn),
”On
a Sequence Arising in Algebraic Geometry”. Journal of Integer Sequences,
vol.8, (2005), 1-9.
35.
V. Shevelev. Necklaces and convex k-gons. Indian Journal of Pure and Applied Mathematics, 35, no.5 (2004),
629-638.
34.
V. Shevelev (with S.Litsyn),
“Distance
Distributions in Ensembles of Irregular Low-Density Parity-Check Codes”.
IEEE Transactions on Information Theory vol.49,
12 (2003), 3140-3159.
33. V. Shevelev (with S.Litsyn), “On
ensembles of low- density parity-check codes: asymptotic distance distributions
“. IEEE Transactions
on Information Theory vol.48, 4 (2002), 887-908.
32. V.S.Shevelev, “Three formulas of
Ramanujan”, Ser.”Mathematical World“ (American Mathematical
Society), 14 (1999), 139-144.
31.
V.S.Shevelev, “On
the permanent of the stochastic (0,1)-matrices with
equal row sums”, Izvestia Vuzov of the North-Caucasus region, Nature sciences 1
1997), 21-38.
30.
V.S.Shevelev, “On
the number of solutions of the congruence
29.
V.S.Shevelev (with S.E.Grigorchuk), “One more
algorithm of calculation the cyclic indicator of the permutations with
restricted position”, Izvestia Vuzov of the North-Caucasus region,
Nature sciences 2 (1997), 11-13.
28.
V.S.Shevelev (with S.E.Grigorchuk), “An
algorithm of computing the cyclic indicator of couples discordant permutations
with restricted position”, Izvestia Vuzov of the North-Caucasus region,
Nature sciences 3 (1997), 5-13.
27. V.S.Shevelev, “On some number identities
connected with the partition of the positive integers with respect to the Morse
sequence”, Izvestia Vuzov of the North-Caucasus region, Nature
sciences 4 (1997), 21-23.
26.
V.S.Shevelev, “Multiplicative functions in the
Fermi-Dirac arithmetics”, Izvestia Vuzov of the North-Caucasus region,
Nature sciences 4 (1996), 28-43.
25.
V.S.Shevelev, “Development of the rook
technique for calculating the cyclic indicators of (0,1)-matrices”, Izvestia
Vuzov of the North-Caucasus region, Nature sciences 4 (1996),
21-28.
24.
V.S.Shevelev, “An arithmetic property of the
numbers of the permutations with the prescribed signature, connected with the
Morse sequence”, Izvestia Vuzov of the North-Caucasus region, Nature
Sciences 2 Mathematics 1996, (20-24).
23.
V.S.Shevelev, “ Computing cyclic indicators of
permutations with confined displacements”, DAN of the Ukraine (1993),
№ 7, 36-39.
22.
V.S.Shevelev,
“Modern enumerative theory of enumerating the permutations with restricted
position”, Discrete Mathematics and Applications 3 (1993),
229-263.
21.
V.S.Shevelev, “Some problems of the theory of
enumerating the permutations with restricted position”, Journal of Soviet
Mathematics, 61 (4) (1992), 2272-2317 (English translation).
20.
V.S.Shevelev, “Sums of subpermanents of linear
spans of substitution matrices”, Discrete Mathematics and Applications 2 (1992), 201-218.
19.
V.S.Shevelev, “ Enumerating the permutations
with restricted position having a fixed number of cycles”, Diskr.Mat
(J.of the Academy of Sciences of Russia) 4, (1992), № 2 ,3-22.
18.
V.S.Shevelev, “Reduced Latin rectangles and
square matrices with equal row and column sums”, Diskr.Mat.(J. of the
Akademy of Sciences of Russia) 4, (1992), № 1 , 91-110.
17.
V.S.Shevelev, “An extension of Moser’s class
of 4-rowed Latin rectangles”, DAN of the Ukraine (1992), № 3,
15-19.
16.
V.S.Shevelev, “The distribution of values of
the permanent in the class of dichotomous (0.1)-matrices”, DAN of the
Ukraine (1992), № 2, 16-19.
15.
V.S.Shevelev, “Recursive formulas for the
permanents and the determinants of Toeplitz matrices “, DAN of the Ukraine
(1992), № 10, 32-36.
14.
V.S.Shevelev,” On the cyclic polynomials of
square matrices”, DAN of the Ukraine (1991), № 3, 27-31.
13.
V.S.Shevelev, “A generalized Riordan formula
for three-rowed Latin rectangles and its applications”, DAN of the Ukraine
2 (1991), 8-12.
12.
V.S.Shevelev, “Latin rectangles”, Quantum,
Washington, USA 1, № 4 (1991), 18-20.
11.
V.S.Shevelev, “The fundamental theorem on
sequences of permanents of circulants generated by k-dimensional arithmetic
vectors and applications”, DAN of the Ukraine (1990), № 9, 28-32.
10.
V.S.Shevelev, “A representation of rook
polynomials”, Russian Math.Surveys 45, №4 (1990), 183-185.
9.
V.S.Shevelev,
“On a method of constructing rook polynomials and some of its applications”, Combinatorial
Analysis 8 (1989), 124-138.
8.
V.S.Shevelev,
“On Yamamoto`s conjecture (1956)”, DAN of the Ukraine (1988),№ 11, 32-35.
7.
V.S.Abramovich (Shevelev), “On
analytical images of moments of sumable functions”, Proceeding of the
North-Caucasus Center of the Academy of Sciences of the USSR
(Rostov-on-Don) (1982) № 2 , 15-17.
6.
V.S.Abramovich (Shevelev), “On an
analog of the Euler function”, Proceeding of the North-Caucasus Center
of the Academy of Sciences of the USSR (Rostov-on-Don) (1981) № 2,
13-17.
5.
V.S.Abramovich (Shevelev), “On
semigroups of Dzrbashian integral operators”, Theory
of functions and functional analysis (Kharkhov) 31 (1979),
3-10.
4.
V.S.Abramovich (Shevelev), “On
spreading of a Montel theorem on analytical functions in the unit disk of
infinite order”, Proceedings of the Academy of Sciences of the
Armenia, Mathematics X, № 2 (1975), 170-174.
3.
V.S.Abramovich (Shevelev), “On a
generalization of Hille and Tamarkin theorem”, Proceedings of the Academy of
Sciences of the Armenia, Mathematics VI, № 1 (1971), 35-42.
2.
V.S.Abramovich (Shevelev), “On
characteristic operators of meromorphic functions in the unit disk”,DAN of the Armenia, Mathematics LII,
№ 5 (1971), 257-264.
1.
V.S.Abramovich (Shevelev), “On some
new classes of meromorphic functions in the unit disk”, Proceedings of the
Academy of Scinces of the Armenia, Mathematics IV, № 6 (1969),
411-441.
Publications
in Engineering Publications
in “Kvant”
Other
Publications Curriculum
Vitae Main
Scientific Achievements OEIS
contributions Hobbies
1.
J-P. Allouche, CNRS, Institut
de Math. de Jussieu, Universit´e
P. et M. Curie [58]
2.
D.L. Applegate,
AT&T [57]
3.
J. H. Castillo,
Universidad de Narino, San Juan de Pasto, Colombia
[50]
4.
B. Cloitre, French mathematician [58]
5.
G. Garcia-Pulgarin, Universidad de Antioquia, Medellin,
Colombia [50]
6.
I. P. Goulden,
University of Waterloo, Ontario, Canada [36]
7.
Ch. R. Greathouse IV, USA [53]
8.
S. E. Grigorchuk,
State Building University, Rostov-na-Donu, Russia [28], [29]
9.
H. Havermann, Canadien mathematition, [57]
10. L. M. Koganov, Moscow mathematician [14k]
11. S. Litsyn, Tel-Aviv University, Israel [33],
[34], [36], [37], [40]
12. P. J. C. Moses, United Kingdom
mathematician [28a], [29a],[51],[53],[56],[40a],[60]
13. P. Pollack, University of British Columbia,
Vancouver & Simon Fraser University, Burnaby, Canada [49]
14. B. Selcoe,American
mathematician [57]
15. N.J.A. Sloane, The OEIS Foundation Inc., [57]
16. J.
Spilker, German mathematician [52]
17. J. M. Velasquez-Soto, Universidad del Valle,
Cali, Colombia [50]
18. R. Zumkeller, German
mathematician [57]