论文标题
在Wiener-ikehara和Ingham-Karamata定理中缺少剩余的情况下：一种建设性的方法
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: a constructive approach
论文作者
论文摘要
我们构建了明确的反例，表明在Wiener-sikehara定理和Ingham-Karamata定理中，除了经典的剩余时间以外的剩余时间，只有一个额外的分析延续假设，即半平面（甚至是整个复杂平面）。
We construct explicit counterexamples that show that it is impossible to get any remainder, other than the classical ones, in the Wiener-Ikehara theorem and the Ingham-Karamata theorem under just an additional analytic continuation hypothesis to a half-plane (or even to the whole complex plane).
