A Hypothesis on Upper Bound of Goldbach Counting Function

2016/07/22 by Willie B Wu, Wu, Willie B
Mathematics · Social Sciences · #Analytic Number Theory Research #China's Ethnic Minorities and Relations #Names, Identity, and Discrimination Research #math.GM

paper · pdf · doi:10.48550/arxiv.1607.07272

arxiv created 2016/07/22 · arxiv updated 2016/07/26

Abstract

I define Goldbach counting function with N > 0 and square-free P > 0. Decomposition of this function is discovered and deduction formula is found. I propose a hypothesis on upper bound of Goldbach counting function and prove that Goldbach conjecture is true under this hypothesis. Also, I propose a second hypothesis on upper bound of Goldbach counting function and prove that the twin prime conjecture is true under this hypothesis

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