奇完满数、拟完满数和亲和数的素数高次幂整除性
On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime
摘要：
我们将给出形式为$N=p_1^{α_1}\cdots p_s^{α_s} q_1^{β_1}\cdots q_t^{β_t}$且$β_1, \ldots, β_t$受给定常数约束的多完全数的最小素因子的一个显式上界。对于拟完全数和相反宇称的互素亲和对，我们也将给出类似的结果。
英文摘要：
We shall give an explicit upper bound for the smallest prime factor of multiperfect numbers of the form $N=p_1^{α_1}\cdots p_s^{α_s} q_1^{β_1}\cdots q_t^{β_t}$ with $β_1, \ldots, β_t$ bounded by a given constant. We shall also give similar results for quasiperfect numbers and relatively prime amicable pairs of opposite parity.
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。
