SU\G(𝔸)/K·U

Vladimir Shevelev

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All published works
Action Title Year Authors
+ On a Lashny question 2017 Vladimir Shevelev
+ On a Luschny question 2017 Vladimir Shevelev
+ Combinatorial identities generated by difference analogs of hyperbolic and trigonometric functions of order $n$ 2017 Vladimir Shevelev
+ Constellations of primes generated by twin primes 2016 Vladimir Shevelev
Peter J. C. Moses
+ On Erdős constant 2016 Vladimir Shevelev
+ On Erd\H{o}s constant 2016 Vladimir Shevelev
+ A fast computation of density of exponentially $S$-numbers 2016 Vladimir Shevelev
+ Two analogs of Thue-Morse sequence 2016 Vladimir Shevelev
+ $S$-exponential numbers 2016 Vladimir Shevelev
+ A fast computation of density of exponentially $S$-numbers 2016 Vladimir Shevelev
+ Constellations of primes generated by twin primes 2016 Vladimir Shevelev
Peter J. C. Moses
+ On Erdős constant 2016 Vladimir Shevelev
+ Set of all densities of exponentially S-numbers 2015 Vladimir Shevelev
+ Representation of positive integers by the form $x^3+y^3+z^3-3xyz$ 2015 Vladimir Shevelev
+ Representation of positive integers by the form $x_1...x_k + x_1 + ... + x_k$ 2015 Vladimir Shevelev
+ Beyond odious and evil 2015 Jean‐Paul Allouche
Benoit Cloitre
Vladimir Shevelev
+ NECKLACES AND CONVEX k-GONS 2015 Vladimir Shevelev
+ The Yellowstone Permutation 2015 David Applegate
Hans Havermann
Bob Selcoe
Vladimir Shevelev
N. J. A. Sloane
Reinhard Zumkeller
+ Exponentially $S$-numbers 2015 Vladimir Shevelev
+ The Yellowstone Permutation. 2015 David Applegate
Hans Havermann
Robert G. Selcoe
Vladimir Shevelev
N. J. A. Sloane
Reinhard Zumkeller
+ Representation of positive integers by the form $x^3+y^3+z^3-3xyz$ 2015 Vladimir Shevelev
+ Representation of positive integers by the form $x_1...x_k + x_1 + ... + x_k$ 2015 Vladimir Shevelev
+ Set of all densities of exponentially S-numbers 2015 Vladimir Shevelev
+ Beyond odious and evil 2014 Jean‐Paul Allouche
Benoit Cloitre
Vladimir Shevelev
+ ON A SEQUENCE OF POLYNOMIALS WITH HYPOTHETICALLY INTEGER COEFFICIENTS 2014 Vladimir Shevelev
Peter J. C. Moses
+ Beyond odious and evil 2014 Jean‐Paul Allouche
Benoit Cloitre
Vladimir Shevelev
+ PDF Chat Up-down coefficients for permutations 2013 Vladimir Shevelev
Jürgen Spilker
+ PDF Chat Spectrum of Permanent’s Values and Its Extremal Magnitudes in and 2013 Vladimir Shevelev
+ ON INTERVALS (kn,(k + 1)n) CONTAINING A PRIME FOR ALL n > 1 2012 Vladimir Shevelev
Charles R. Greathouse
Peter J. C. Moses
+ A family of digit functions with large periods 2012 Vladimir Shevelev
Peter J. C. Moses
+ On perfect and near-perfect numbers 2012 Paul Pollack
Vladimir Shevelev
+ Overpseudoprimes, and Mersenne and Fermat Numbers as Primover Numbers 2012 Vladimir Shevelev
Gilberto García-Pulgarín
Juan Miguel Velásquez-Soto
John H. Castillo
+ Tangent power sums and their applications 2012 Vladimir Shevelev
Peter J. C. Moses
+ On identities generated by compositions of positive integers 2012 Vladimir Shevelev
+ Tangent power sums and their applications 2012 Vladimir Shevelev
Peter J. C. Moses
+ Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables 2012 Vladimir Shevelev
+ A family of digit functions with large periods 2012 Vladimir Shevelev
Peter J. C. Moses
+ Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers 2012 Vladimir Shevelev
Gilberto García-Pulgarín
Juan Miguel Velásquez-Soto
John H. Castillo
+ On intervals (kn,(k+1)n) containing a prime for all n>1 2012 Vladimir Shevelev
Charles R. Greathouse
Peter J. C. Moses
+ On a sequence of polynomials with hypothetically integer coefficients 2011 Vladimir Shevelev
Peter J. C. Moses
+ Spectrum of permanent's values and its extremal magnitudes in $\Lambda_n^3$ and $\Lambda_n(\alpha,\beta,\gamma)$ 2011 Vladimir Shevelev
+ Combinatorial minors for matrix functions and their applications 2011 Vladimir Shevelev
+ The ménage problem with a known mathematician 2011 Vladimir Shevelev
Peter J. C. Moses
+ Banach matchboxes problem and a congruence for primes 2011 Vladimir Shevelev
+ Binomial Coefficient Predictors 2011 Vladimir Shevelev
+ On a sequence of polynomials with hypothetically integer coefficients 2011 Vladimir Shevelev
Peter J. C. Moses
+ Spectrum of permanent's values and its extremal magnitudes in $Λ_n^3$ and $Λ_n(α,β,γ)$ 2011 Vladimir Shevelev
+ On perfect and near-perfect numbers 2010 Vladimir Shevelev
+ On Stephan's conjectures concerning Pascal triangle modulo 2 2010 Vladimir Shevelev
+ On perfect and near-perfect numbers 2010 Vladimir Shevelev
+ Three theorems on primes and twin primes 2009 Vladimir Shevelev
+ An infinite set of generators of primes based on the Rowland idea 2009 Vladimir Shevelev
+ SOME PROBABILITIES CONCERNING PRIME GAPS 2009 Vladimir Shevelev
+ Binomial predictors 2009 Vladimir Shevelev
+ Equations of the form $t(x+a)=t(x)$ and $t(x+a)=1-t(x)$ for Thue-Morse sequence 2009 Vladimir Shevelev
+ A recursion for divisor function over divisors belonging to a prescribed finite sequence of positive integers and a solution of the Lahiri problem for divisor function $\sigma_x(n)$ 2009 Vladimir Shevelev
+ Binary Additive Problems: Recursions for Numbers of Representations 2009 Vladimir Shevelev
+ An infinite set of generators of primes based on the Rowland idea and conjectures concerning twin primes 2009 Vladimir Shevelev
+ On critical small intervals containing primes 2009 Vladimir Shevelev
+ Generalizations of the Rowland theorem 2009 Vladimir Shevelev
+ Very small intervals containing at least three primes 2009 Vladimir Shevelev
+ Several results on sequences which are similar to the positive integers 2009 Vladimir Shevelev
+ Binary Additive Problems: Theorems of Landau and Hardy-Littlwood Type 2009 Vladimir Shevelev
+ Three theorems on twin primes 2009 Vladimir Shevelev
+ Theorems on twin primes-dual case 2009 Vladimir Shevelev
+ Ramanujan and Labos primes, their generalizations and classifications of primes 2009 Vladimir Shevelev
+ Gold ratio and a trigonometric identity 2009 Vladimir Shevelev
+ Equations of the form $t(x+a)=t(x)$ and $t(x+a)=1-t(x)$ for Thue-Morse sequence 2009 Vladimir Shevelev
+ Binomial predictors 2009 Vladimir Shevelev
+ A recursion for divisor function over divisors belonging to a prescribed finite sequence of positive integers and a solution of the Lahiri problem for divisor function $σ_x(n)$ 2009 Vladimir Shevelev
+ PDF Chat Exact exponent in the remainder term of Gelfond's digit theorem in the binary case 2008 Vladimir Shevelev
+ On an Invariant of Divisors of Mersenne Number 2008 Vladimir Shevelev
+ On Connection between the Numbers of Permutations and Full Cycles with Some Restrictions on Positions and Up-Down Structure 2008 Vladimir Shevelev
+ Process of "Primoverization" of Numbers of the Form a^n-1 2008 Vladimir Shevelev
+ On Unique Additive Representations of Positive Integers and Some Close Problems 2008 Vladimir Shevelev
+ An Upper Estimate for the Overpseudoprime Counting Function 2008 Vladimir Shevelev
+ Overpseudoprimes, Mersenne Numbers and Wieferich primes 2008 Vladimir Shevelev
+ PDF Chat Generalized Newman Phenomena and Digit Conjectures on Primes 2008 Vladimir Shevelev
+ Estimates of Newman Sum over Numbers Multiple of a Fixed Integer 2008 Vladimir Shevelev
+ On the Basis Polynomials in the Theory of Permutations with Prescribed Up-Down Structure 2008 Vladimir Shevelev
+ On Connection between the Numbers of Permutations and Full Cycles with Some Restrictions on Positions and Up-Down Structure 2008 Vladimir Shevelev
+ ON THE BASIS POLYNOMIALS IN THE THEORY OF PERMUTATIONS WITH PRESCRIBED UP-DOWN STRUCTURE 2007 Vladimir Shevelev
+ Cyclic Configurations and the Reis Problem 2007 Vladimir Shevelev
+ A PROBLEM OF ENUMERATION OF TWO-COLOR BRACELETS WITH SEVERAL VARIATIONS 2007 Vladimir Shevelev
+ Two Digit Theorems 2007 Vladimir Shevelev
+ PDF Chat On Factorization of Integers with Restrictions on the Exponents 2007 Simon Litsyn
Vladimir Shevelev
+ ON EXCESS OF THE ODIOUS PRIMES 2007 Vladimir Shevelev
+ ON DIVISIBILITY OF ${\fontsize{9}{11}\selectfont\Big(\!\!\begin{array}{c}n-i-1\\[2pt]i-1\end{array}\!\!\Big)}$ by i 2007 Vladimir Shevelev
+ On Monotonic Strengthening of Newman-like Phenomenon on (2m+1)-multiples in Base 2m 2007 Vladimir Shevelev
+ On the Newman sum over multiples of a prime with a primitive or semiprimitive root 2 2007 Vladimir Shevelev
+ A Conjecture on Primes and a Step towards Justification 2007 Vladimir Shevelev
+ A Short Proof of a Known Relation for Consecutive Power Sums 2007 Vladimir Shevelev
+ New Digit Results and Several Problems 2007 Vladimir Shevelev
+ On Ramanujan Cubic Polynomials 2007 Vladimir Shevelev
+ Two algorithms for evaluation of the Newman digit sum, and a new proof of Coquet's theorem 2007 Vladimir Shevelev
+ PDF Chat Compact integers and factorials 2007 Vladimir Shevelev
+ A problem of enumeration of two-color bracelets with several variations 2007 Vladimir Shevelev
+ Two Digit Theorems 2007 Vladimir Shevelev
+ IRRATIONAL FACTORS SATISFYING THE LITTLE FERMAT THEOREM 2005 Simon Litsyn
Vladimir Shevelev
+ On a Sequence Arising in Algebraic Geometry 2005 I. P. Goulden
Simon Litsyn
Vladimir Shevelev
+ Modern enumeration theory of permutations with restricted positions 1993 Vladimir Shevelev
+ Some problems of the theory of enumerating the permutations with restricted positions 1992 Vladimir Shevelev
+ On a representation of rook polynomials 1990 Vladimir Shevelev
Common Coauthors
Coauthor Papers Together
Peter J. C. Moses 12
Jean‐Paul Allouche 3
Benoit Cloitre 3
Simon Litsyn 3
Gilberto García-Pulgarín 2
Reinhard Zumkeller 2
Hans Havermann 2
Charles R. Greathouse 2
David Applegate 2
John H. Castillo 2
Juan Miguel Velásquez-Soto 2
N. J. A. Sloane 2
Bob Selcoe 1
Robert G. Selcoe 1
I. P. Goulden 1
Paul Pollack 1
Jürgen Spilker 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat The On-Line Encyclopedia of Integer Sequences 2007 N. J. A. Sloane
 28
+ On the number of binary digits in a multiple of three 1969 Donald J. Newman
 8
+ A summation formula related to the binary digits 1983 Jean Coquet
 8
+ Number Theory 2020 Don Redmond
 7
+ Two algorithms for evaluation of the Newman digit sum, and a new proof of Coquet's theorem 2007 Vladimir Shevelev
 6
+ Rarified sums of the Thue-Morse sequence 1999 Michael Drmota
Mariusz Skałba
 5
+ PDF Chat Ramanujan Primes and Bertrand's Postulate 2009 Jonathan Sondow
 4
+ A Classical Introduction to Modern Number Theory 1982 Kenneth Ireland
Michael Rosen
 4
+ Pascal's Triangle (mod 8) 1998 James G. Huard
Blair K. Spearman
Kenneth S. Williams
 3
+ PDF Chat Asymptotics and random matrices with row-sum and column sum-restrictions 1969 Patrick E. O׳Neil
 3
+ Enumeration of permutations with prescribed up-down and inversion sequences 1976 H. O. Foulkes
 3
+ Alternating permutations and symmetric functions 2006 Richard P. Stanley
 3
+ The number of permutations with a given signature, and the expectations of their elements 2001 George G. Szpiro
 3
+ The Riemann Zeta-Function 1992 A. A. Karatsuba
Сергей Воронин
 3
+ An Introduction to Combinatorial Analysis 1959 L. Schmetterer
J. Riordan
 3
+ Collected papers of Srinivasa Ramanujan 1928 Srinivasa Ramanujan Aiyangar
G. H. Hardy
P. V. Seshu Aiyar
B. M. Wilson
 3
+ PDF Chat Unsolved Problems in Number Theory 1994 Richard K. Guy
 3
+ PDF Chat Periodic de Bruijn triangles: exact and asymptotic results 2005 Boris Shapiro
Michael Shapiro
Alek Vainshtein
 3
+ Exponentially $S$-numbers 2015 Vladimir Shevelev
 3
+ Binomial Coefficients Modulo a Prime 1947 N. J. Fine
 2
+ ON THE BASIS POLYNOMIALS IN THE THEORY OF PERMUTATIONS WITH PRESCRIBED UP-DOWN STRUCTURE 2007 Vladimir Shevelev
 2
+ An Introduction to Combinatorial Analysis 1958 R. A. Leibler
John Riordan
 2
+ Numerical analogues of Aronson's sequence. 2003 Benoit Cloitre
N. J. A. Sloane
Shannon Labs
Matthew J. Vandermast
Piaget Avenue
 2
+ The Theory of Partitions 1984 George E. Andrews
 2
+ PDF Chat STRUCTURE POLYNOMIAL OF LATIN RECTANGLES AND ITS APPLICATION TO A COMBINATORIAL PROBLEM 1956 Kōichi Yamamoto
 2
+ ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES 1973 Chen Jing-Run
 2
+ On arithmetic and asymptotic properties of up–down numbers 2006 Francis Brown
Thomas Fink
Karen Willbrand
 2
+ Combinatorial Enumeration 2024 Robin Pemantle
Mark C. Wilson
Stephen Melczer
 2
+ Some problems of the theory of enumerating the permutations with restricted positions 1992 Vladimir Shevelev
 2
+ Explicit Bounds for Some Functions of Prime Numbers 1941 Barkley Rosser
 2
+ Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics 1991 Vladimir I. Arnold
 2
+ PDF Chat Compact integers and factorials 2007 Vladimir Shevelev
 2
+ PDF Chat Approximate formulas for some functions of prime numbers 1962 J. Barkley Rosser
Lowell Schoenfeld
 2
+ Arithmetical properties of permutations of integers 1983 Paul Erdös
R. Freud
Norbert Hegyvári
 2
+ Permutations with prescribed pattern 1973 L. Carlitz
 2
+ The Difference Between Consecutive Primes 1996 Roger C. Baker
G. Harman
 2
+ PDF Chat ON A CONJECTURE ON RAMANUJAN PRIMES 2010 Shanta Laishram
 2
+ Roots of translations 2008 K. S. Sarkaria
 2
+ Iterates of increasing sequences of positive integers 2012 Vichian Laohakosol
Boonrod Yuttanan
 2
+ Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix 1981 Dmitry Falikman
 2
+ Permutations ayant une forme donnee 1979 Gérard Viennot
 2
+ Several results on sequences which are similar to the positive integers 2009 Vladimir Shevelev
 2
+ Newman's phenomenon for generalized Thue–Morse sequences 2007 Michael Drmota
Th. Stoll
 2
+ The maximum permanent in 1980 David Merriell
 2
+ A lower bound for the permanents of certain (0,1)-matrices 1979 Marc Voorhoeve
 2
+ The <i>n</i> -th Prime is Greater than <i>n</i> log<i>n</i> 1939 Barkley Rosser
 2
+ Generalizations of the Rowland theorem 2009 Vladimir Shevelev
 2
+ On certain arithmetic functions involving exponential divisors 2006 László Tóth
 2
+ Zaphod Beeblebrox's Brian and the Fifty-ninth Row of Pascal's Triangle 1992 Andrew Granville
 2
+ PDF Chat Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim 2006 K. Soundararajan
 2