On generating new amicable pairs from given amicable pairs
On generating new amicable pairs from given amicable pairs
复制标题
从给定的友好对生成新的友好对
DOI：
10.1090/s0025-5718-1984-0725997-0
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发表时间：
1982
影响因子：
2
通讯作者：
H. T. Riele
中科院分区：
文献类型：
--
作者：
H. T. Riele
Ab %。给出了从给定友好对构造新友好对的方法。通过对作者已知的1575对“母亲”对应用这些方法，产生了1782对新的亲和对，使得这些母亲对的“后代”的平均值大于1。第二次，对400对最小的“子”对进行更严格的应用，产生了88对新的“孙女”对。
Ab%tract. Mcthods arc given for constructing new amicable pairs from given amicable pairs. By applying thcse methods to 1575 "mother" pairs known to the author, 1782 new amicable pairs were generated, so that the average "offspring" of these mother pairs is greater than 1. By a second, much more restricted application of the methods to the 400 smallest "daughter" pairs, 88 new "granddaughter" pairs were generated.