论文标题

关于弗雷霍尔姆系列的零的注释

A note on the zeroes of the Fredholm series

论文作者

Zannier, Umberto, Veneziano, Francesco

论文摘要

是否提出了问题,无论是Fredholm系列$ Z+Z^2+...+Z^{2^n}+... $在单元磁盘中具有无限的零。我们提供了一个肯定的答案,证明实际上每个复杂数量都是无限多次出现的。

The issue had been raised whether the Fredholm series $z+z^2+...+z^{2^n}+...$ has infinitely many zeroes in the unit disk. We provide an affirmative answer, proving that in fact every complex number occurs as a value infinitely many times.

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