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Geometric Patterns in Uniform Distribution of Zeros of the Riemann Zeta Function

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Abstract

We introduce a geometrical investigation of the distribution of several sequences involving the imaginary parts of the nontrivial zeros of the Riemann zeta function.

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References

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Acknowledgement

I am greatly indebted to Prof. A. Akbary for pointing out a big number of grammatical mistakes, and for clearing mathematical content of the paper by asking some important questions. Also, I gratefully acknowledge the many helpful suggestions by Prof. J.-M. Deshouillers during the preparation of the chapter, and specially his suggestion for adding Fig. 10, and introducing me the paper [12]. Finally, I deem my duty to thank Prof. R. Heath-Brown for giving very valuable comments on the mathematical justification of the geometric patterns described in this chapter.

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Correspondence to Mehdi Hassani .

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Hassani, M. (2014). Geometric Patterns in Uniform Distribution of Zeros of the Riemann Zeta Function. In: Rassias, T., Pardalos, P. (eds) Mathematics Without Boundaries. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1106-6_9

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