A Cesàro average for an additive problem with an arbitrary number of prime powers and squares

DOI10.1007/s40993-022-00347-4OpenAlexW3111972330WikidataQ114218003 ScholiaQ114218003MaRDI QIDQ2164874

Alessandro Gambini, Marco Cantarini, Alessandro Zaccagnini

Publication date: 18 August 2022

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02503

zbMATH Keywords

Laplace transformsBessel functionsGoldbach-type theoremsCesàro average

Mathematics Subject Classification ID

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

Cites Work

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• 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
• On an average ternary problem with prime powers
• Asymptotics of Goldbach representations
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• A Cesàro average of generalised Hardy-Littlewood numbers
• Some identities involving the Cesàro average of the Goldbach numbers
• A Cesàro average of Goldbach numbers
• The number of Goldbach representations of an integer
• Identities Involving the Coefficients of a Class of Dirichlet Series. VII
• Laplace's Integral, the Gamma Function, and beyond
• Applications of some exponential sums on prime powers: a survey
• On the average number of representationsof an integer as a sum of like prime powers
• A Cesàro average for an additive problem with prime powers
• Explicit formulae for averages of Goldbach representations
• On the Cesàro average of the “Linnik numbers”
• Complex analysis. Transl. from the German by Dan Fulea

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