Uniform estimates for almost primes over finite fields

DOI10.1090/proc/15870zbMath1501.11082arXiv2008.05778OpenAlexW3048426687MaRDI QIDQ5081513

Dor Elboim, Ofir Gorodetsky

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05778

zbMATH Keywords

total variationfinite fieldgenerating functionPoisson distributionasymptotic formularandom permutationuniform estimatenumber of polynomials

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic functions in probabilistic number theory (11K65)

Related Items (1)

On the distribution of polynomials having a given number of irreducible factors over finite fields

Cites Work

• Arithmetical semigroups. IV: Selberg's analysis
• Asymptotic expansions for the Stirling numbers of the first kind
• Shifted convolution and the Titchmarsh divisor problem over 𝔽_q[t]
• Asymptotic Development of the Stirling Numbers of the First Kind
• On random polynomials over finite fields
• Roots of Polynomials and the Derangement Problem
• The function field Sathe--Selberg formula in arithmetic progressions and `short intervals'
• A Poisson * Negative Binomial Convolution Law for Random Polynomials over Finite Fields
• On a Theorem of Hardy and Ramanujan
• A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS
• Probability and Computing
• The distribution of polynomials over finite fields
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