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arXiv 1507.05039math.GM
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锡拉丘兹猜想的一个证明

Trial for a proof of the Syracuse conjecture

Nicolas Mallet

备注：
2 1/2 years later without further researches on the 3N+1 conjecture, I realize it would be unwise from me to leave an uncomplete work of research resulting in no further advancement in a proof/disproof. Even if my work cannot be fully removed, I would like to do what I can to reduce the visibility of what would only waste more time for the readers instead of inspiring them well in their own works
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摘要：

臭名昭著的3x+1猜想在1952年由Lothar Collatz传播，尽管它的基本公式，仍然没有证明超过60年。从复杂的概率方法到算法的复杂映射，科学界已经找到了许多方法来试图正式证明它，因此，像鄂尔多斯这样的数学家倾向于相信“数学还没有准备好解决这样的问题”。在这篇研究报告中，涵盖了代数和图论等领域，通过反驳两个对立面来证明该猜想：不断增长的锡拉丘兹套件的存在和不同于循环4，2，1的循环的存在。

英文摘要：

The infamous 3x+1 conjecture spread by Lothar Collatz in 1952, despite its elementary formulation, remained unproved for over 60 years. From the heuristical probabilistic approach to the complex mapping of the algorithm, the scientific community has fetched for many methods to try to prove it formally, and thus, mathematicians like Erdos tend to believe that "mathematics are not yet ready for such problems". In this research report, covering domains like algebra and graph theory, it is shown a trial of proof of the conjecture by disproval of its two antitheses: the existence of an ever-growing Syracuse suite and the existence of a cycle different from the cycle 4,2,1.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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