Explicit formulae for averages of Goldbach representations

DOI10.1090/TRAN/7799zbMath1470.11251arXiv1712.00737OpenAlexW2962758954WikidataQ128521441 ScholiaQ128521441MaRDI QIDQ5241474

Jörg Brüdern, Jerzy Kaczorowski, Alberto Perelli

Publication date: 31 October 2019

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

Full work available at URL: https://arxiv.org/abs/1712.00737

zbMATH Keywords

Goldbach problemexplicit formulae

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Distribution of primes (11N05)

Related Items (7)

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 AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII ⋮ A note on an average additive problem with prime numbers ⋮ Cesàro averages for Goldbach representations with summands in arithmetic progressions ⋮ Some identities involving the Cesàro average of the Goldbach numbers ⋮ A Cesàro average for an additive problem with prime powers

Cites Work

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• An additive problem of prime numbers. II
• A Cesàro average of Goldbach numbers
• The number of Goldbach representations of an integer
• Mean representation number of integers as the sum of primes
• Applications of some exponential sums on prime powers: a survey

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