The limit of the Riemann zeta function and its nontrivial zeros

Tanfer Tanriverdi

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arXiv · 1902.06695

The limit of the Riemann zeta function and its nontrivial zeros

Tanfer Tanriverdi

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Abstract

In this article, with a new approach, which is not discussed in the literature yet, the limit of the Riemann zeta function or Euler-Riemann zeta function is approximately explored by applying Dirichlet's rearrangement theorem for absolutely convergent series to the Riemann zeta function by rearranging its terms as geometric series for sufficiently large $n$. The limit of the Riemann zeta function or Euler-Riemann zeta functions, $\lim_{n\to\infty} \zeta(z)$, is first time explored. The limit obtained here is a very promising for the nontrivial or complex zeros of the Rieman zeta function.

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BibTeX RIS

Tanfer Tanriverdi. 2019-02-14. The limit of the Riemann zeta function and its nontrivial zeros. https://arxiv.org/abs/1902.06695

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