3 papers
math.NT2025
A solution to a Paul Erdos problem
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 short note, we pro…
math.CA2025
Classes of functions in the set of circulant matrices and their characterization
Vyacheslav M. Abramov
In this paper, we introduce new classes of functions that extend the known classes of functions of complex variable, such as entire functions, meromorphic functions, rational funct…
math.PR2005
The stability of join-the-shortest-queue models with general input and output processes
Vyacheslav M. Abramov
The paper establishes necessary and sufficient conditions for stability of different join-the-shortest-queue models including load-balanced networks with general input and output p…