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November 17, 2025Theory of Probability and Mathematical Statistics

Almost periodic stochastic processes with applications to analytic number theory

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Authors

AIAlexander IksanovZKZakhar KabluchkoAMAlexander Marynych

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Overview

Functional extensions of limiting distributions in random variables demonstrate implications for analytic number theory.

Key Points

  • Convergence in distribution of random variables occurs for almost periodic functions as L approaches infinity, leading to significant findings.
  • Random variables uniformly distributed on [-1,1] are central to the analysis of almost periodic stochastic processes.
  • The study extends results from Akbary, Ng, and Shahabi, exploring weaker forms of convergence with practical implications in number theory.
  • Insights into the limiting stationary process highlight broader applications in the domain of analytic number theory.

Cite This Study

Iksanov et al. (2025) studied this question.

synapsesocial.com/papers/692509e3c0ce034ddc352542https://doi.org/10.1090/tpms/1242
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