一般可除性标准
General Divisibility Criteria
摘要：
我们相信我们已经在整数整除规则这个古老的问题上取得了进展。对任意底数系统中的任意除数引入了泛整除规则。可除性准则被明确地写为测试数的数字中的线性型。通用准则只包含两个依赖于除数的参数，并且容易计算。这些可除性参数对于给定的除数不是唯一的，但是每个双参数集产生唯一的准则。众所周知的可除性规则的示范除数在十进制系统遵循的普遍表达作为特殊情况。
英文摘要：
We believe we have made progress in the age-old problem of divisibility rules for integers. Universal divisibility rule is introduced for any divisor in any base number system. The divisibility criterion is written down explicitly as a linear form in the digits of the test number. The universal criterion contains only two parameters that depend on the divisor and are easily calculated. These divisibility parameters are not unique for a given divisor but each two-parameter set yields a unique criterion. Well-known divisibility rules for exemplary divisors in the decimal system follow from the universal expression as special cases.
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