9 citations · 72 across the 55 of their papers we have counts for
56 papers
On a Luschny question
Vladimir Shevelev
Let be Euler polynomial, be adic order of be the characteristic sequence for Recently Peter Luschny asked (cf. \cite{5…
Combinatorial identities generated by difference analogs of hyperbolic and trigonometric functions of order
Vladimir Shevelev
We naturally obtain some combinatorial identities finding the difference analogs of hyperbolic and trigonometric functions of order In particular, we obtain the identities con…
Constellations of primes generated by twin primes
Vladimir Shevelev, Peter J. C. Moses
We study a special set of constellations of primes generated by twin primes.
On Erdős constant
Vladimir Shevelev
In 1944, P. Erdős \cite{1} proved that if is a large highly composite number (HCN) and is the next HCN, then where is a constant. In thi…
Two analogs of Thue-Morse sequence
Vladimir Shevelev
We introduce and study two analogs of one of the best known sequence in Mathematics : Thue-Morse sequence. The first analog is concerned with the parity of number of runs of 1's in…
A fast computation of density of exponentially -numbers
Vladimir Shevelev
The author \cite{4} proved that, for every set of positive integers containing 1 (finite or infinite) there exists the density of the set of numbers whose pr…