论文标题

在节省算术功能和Volterra积分方程式上

On summatory arithmetic functions and a Volterra Integral equation

论文作者

Patkowski, Alexander E

论文摘要

我们获得了众所周知的杂种算术功能的渐近结果,例如$ψ(x),$,并建立与新的灌注函数的连接。提供了一个新的Volterra积分方程,该方程是通过避免算术函数来解决的。我们以一些进一步的积分公式结束,并提供数字理论公式作为应用。

We obtain asymptotic results for well known summatory arithmetic functions, such as $ψ(x),$ and establish connections to new summatory functions. A new Volterra integral equation is offered, which is solved by summatory arithmetic functions. We conclude with some further integral formulas and provide number theoretic formulas as applications.

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