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Some discussions on the Goldbach conjecture

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arxiv 2306.17769 v2 pith:2EDQIF2A submitted 2023-06-30 math.NT

Huixi Li This is my paper · ORCID
classification math.NT
keywords conjecturegoldbachresultsdiscussionssomeaccordingadditionallybinary
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According to some discussions based on syllogism, we present results on the binary Goldbach conjecture in three categories: results that are weaker than the Goldbach conjecture, sufficient conditions for the Goldbach conjecture, and results that are similar in nature to the Goldbach conjecture. Additionally, we explore the connections between the Goldbach conjecture and other well-known conjectures.

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  1. Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights

    math.NT 2026-07 accept novelty 6.5 of 10

    Weighted averages of diagonal Möbius-twisted Elliott-Halberstam achieve the conjectured size under GRH and weak Gonek-Hejhal for Sobolev and Hölder-Zygmund weights.

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