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Large deviation results and applications to the generalized Cramér model

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Publication:1649124
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DOI10.3390/math6040049zbMath1390.60106OpenAlexW2794940075MaRDI QIDQ1649124

Rita Giuliano, Claudio Macci

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6040049

zbMATH Keywords

arithmetic progressionsproducts of primesregularly varying functionsslowly varying functionsfirst Chebyshev function


Mathematics Subject Classification ID

Large deviations (60F10) Primes in congruence classes (11N13) Arithmetic progressions (11B25)




Cites Work

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  • Moderate deviations via cumulants
  • Independent process approximations for random combinatorial structures
  • Large and moderate deviation principles for alternating Engel expansions
  • Chebyshev's bias for products of \(k\) primes
  • Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications
  • Chebyshev's Bias for Products of Two Primes
  • Mod-Gaussian convergence: new limit theorems in probability and number theory
  • Harald Cramér and the distribution of prime numbers
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