On further application of the zeta distribution to number theory

DOI10.1007/s40993-023-00485-3OpenAlexW4388501488MaRDI QIDQ6072077

Naohiro Yoshida, Takahiko Fujita

Publication date: 29 November 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-023-00485-3

zbMATH Keywords

Riemann zeta functionprobabilistic approachnumber-theoretic functionzeta distribution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability distributions: general theory (60E05) Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Cites Work

• A probabilistic approach to problems of diophantine approximation
• The probability that random algebraic integers are relatively \(r\)-prime
• The probability that \(k\) positive integers are relatively \(r\)-prime
• A class of probability distributions on the integers
• THE PROBABILITY THAT RANDOM POSITIVE INTEGERS ARE k-WISE RELATIVELY PRIME
• Heuristic Reasoning in the Theory of Numbers
• Probability methods in some problems of analysis and number theory
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