17 citations · 122 across the 39 of their papers we have counts for
40 papers
Solution to the Erdos problem on distinct residues of factorials
Vyacheslav M. Abramov
Paul Erdos posed the following question: Is there a prime number such that the residues of , ,\ldots, modulo all are distinct. In this paper, we give the…
The convergence of power matrices
Vyacheslav M. Abramov
For the class of matrices with complex nonzero entries satisfying , we provide the conditions for the convergence of power matr…
Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes
Vyacheslav M. Abramov
We derive the conditions for recurrence and transience for time-inhomogeneous birth-and-death processes considered as random walks with positively biased drifts. We establish a gen…
Kurepa's conjecture on the left factorial function is true
Vyacheslav M. Abramov
We answer Kurepa's conjecture on the left factorials in affirmative.
Fixed point theorem for an infinite Toeplitz matrix and its extension to general infinite matrices
Vyacheslav M. Abramov
In [V. M. Abramov, \emph{Bull. Aust. Math. Soc.} \textbf{104} (2021), 108--117] the fixed point equation for an infinite nonnegative Toeplitz matrix has been studied. It was found…
A simple proof of Tong's theorem
Vyacheslav M. Abramov
We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an applicatio…