Averages of Euler products, distribution of singular series and the ubiquity of Poisson distribution

DOI10.4064/aa148-2-4zbMath1232.11102arXiv0805.4682OpenAlexW2963699994MaRDI QIDQ5392177

Emmanuel Kowalski

Publication date: 8 April 2011

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4682

zbMATH Keywords

momentsPoisson distributionlimiting distributionEuler productsingular seriesBateman-Horn conjectureprime k-tuples conjecture

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32) Exponential sums and character sums (11L99)

Related Items (5)

Sums of Euler products and statistics of elliptic curves ⋮ Schinzel hypothesis on average and rational points ⋮ Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸ ⋮ A Note on the Distribution of Primes in Intervals ⋮ Joint ergodicity of fractional powers of primes

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