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本刊1957年4月号,有登載川之同志的“自然数冪和的一个应用”一篇,在文中,作者先求出二个等差級数对应項之積所成的級数和的公式,然后指出:如果某一級数的每項可以表成k个等差級数对应項之積,那么,求它前n項和的公式,与求二个等差級数对应項之積所成的級数和同样可以求出。在这里讀者自然要問,如果某一級数的每項很难分解成k个等差級数的对应項之積,那么,这要怎样求和呢?針对这一問題我提出一点补充,請大家指教。
In the April 1957 issue of this publication, there was an article entitled “Application of a natural number-power sum” by Comrade Yasukawa. In the article, the author first calculates the series and formula of the product of two corresponding products of equal progression series, and then It is pointed out that if each item of a certain series can be expressed as a product of k corresponding items of equal-difference series, then the formula for the sum of the first n items and the product of the product of the corresponding items of two equal-difference series are the same. Can be found. Here, the reader naturally has to ask, if each item of a certain series is difficult to decompose into the product of the corresponding items of k equal-difference series, then how does this sum? Enlighten.