论文标题
Zhi-Wei Sun的1-3-5猜想和变化
Zhi-Wei Sun's 1-3-5 Conjecture and Variations
论文作者
论文摘要
在本文中，在Lipschitz整数的环中使用四个算术算术，我们提供了zhì-wěiSūn的“ 1-3-5猜想”的证明，用于整体溶液，并且对于所有自然数量，大于特定常数。这是作者和同事进行的计算，该计算检查了猜想的有效性至该常数，完全证明了1-3-5的猜想。我们还建立了这种猜想的一些变体。
In this paper, using quaternion arithmetic in the ring of Lipschitz integers, we present a proof of Zhì-Wěi Sūn's "1-3-5 conjecture" for integral solutions, and for all natural numbers greater than a specific constant. This, together with computations done by the authors and a colleague, which checked the validity of the conjecture up to that constant, completely proves the 1-3-5 conjecture. We also establish some variations of this conjecture.
