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math.PR2025
Some notes on Lamperti's recurrence of stochastic sequences
Vyacheslav M. Abramov
The present study provides another look on Lamperti's theorem on recurrence or transience of stochastic sequences. We establish connection between Lamperti's theorem and the recent…
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…