Some identities involving the Cesàro average of the Goldbach numbers

DOI10.1134/S0001434619110038zbMath1445.11108arXiv1711.08610OpenAlexW2997716175MaRDI QIDQ2304482

Marco Cantarini

Publication date: 12 March 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08610

zbMATH Keywords

Laplace transformsGoldbach-type theoremsCesàro average

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Laplace transform (44A10)

Related Items (4)

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 ⋮ Cesàro averages for Goldbach representations with summands in arithmetic progressions ⋮ Symbolic computations via Fourier–Legendre expansions and fractional operators

Uses Software

• DLMF

Cites Work

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• Power series with the von Mangoldt function
• Hecke's functional equation and arithmetical identities
• On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes
• A Cesàro average of Hardy-Littlewood numbers
• A Cesàro average of Goldbach numbers
• Identities Involving the Coefficients of a Class of Dirichlet Series. VII
• Applications of some exponential sums on prime powers: a survey
• Explicit formulae for averages of Goldbach representations
• Cesàro average in short intervals for Goldbach numbers
• On the Cesàro average of the “Linnik numbers”

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