Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleA Cesàro average of Goldbach numbers.AuthorsLanguasco, Alessandro; Zaccagnini, AlessandroAbstractLet Λ be the von Mangoldt function and be the counting function for the Goldbach numbers. Let N ≥ 2 be an integer. We prove that for k > 1, where ρ, with or without subscripts, runs over the non-trivial zeros of the Riemann zeta-function ζ( s).SubjectsARITHMETIC mean; GOLDBACH conjecture; NUMBER theory; MATHEMATICAL proofs; ZETA functionsPublicationForum Mathematicum, 2015, Vol 27, Issue 4, p1945ISSN0933-7741Publication typeArticleDOI10.1515/forum-2012-0100