论文标题
在高斯线上步行到无限
Walking to infinity on gaussian lines
论文作者
论文摘要
我们研究了真实线上的理性整数与复杂平面其他线上的高斯整数之间的类比。这包括一个对Bertrands假设的高斯类似物，中国的剩余定理以及可分裂性的周期性。我们还计算了沿着这些线路的高斯素数的分布，并给读者留出了几个开放问题。
We study analogies between the rational integers on the real line and the Gaussian integers on other lines in the complex plane. This includes a Gaussian analog of Bertrands Postulate, the Chinese Remainder Theorem, and the periodicity of divisibility. We also computationally investigate the distribution of Gaussian primes along these lines and leave the reader with several open problems.
