关于Rogers-Szegö多项式和Losanitsch三角形的几点注记
Some remarks on Rogers-Szegö polynomials and Losanitsch's triangle
摘要：
本文收集了Pascals三角形的类似物的一些简单事实，其中元素计数具有偶数或奇数和的整数的子集，并表明它们与Rogers-Szego多项式有关。特别是我们认为一个有趣的三角形由于Losanitsch从这个角度来看。我们还勾画了一些扩展这些结果的集合，其总和有固定的剩余模一个总理$p$。
英文摘要：
In this expository paper we collect some simple facts about analogues of Pascals triangle where the entries count subsets of the integers with an even or odd sum and show that they are related to Rogers-Szego polynomials. In particular we consider an interesting triangle due to Losanitsch from this point of view. We also sketch some extensions of these results to sets whose sums have fixed residues modulo a prime $p$.
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。
