On the Cesàro average of the “Linnik numbers”

DOI10.4064/AA8601-3-2017zbMath1406.11100arXiv1607.05629OpenAlexW2963846490MaRDI QIDQ5368813

Marco Cantarini

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1607.05629

zbMATH Keywords

Laplace transformsCesàro averageLinnik numbers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32) Laplace transform (44A10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

A Cesàro average for an additive problem with an arbitrary number of prime powers and squares ⋮ A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series ⋮ On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes ⋮ Cesàro averages for Goldbach representations with summands in arithmetic progressions ⋮ Some identities involving the Cesàro average of the Goldbach numbers ⋮ Symbolic computations via Fourier–Legendre expansions and fractional operators

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