June 24, 2024Open Access

On the approximation of the zeta function by Dirichlet polynomials

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Abstract

We prove that for s=+it with 0 and 0<t x, we have \ (s) =₍ ₗn^-s+x^1-s (s-1) +2914 x^-, 2914=2. 07142\ where is a complex number with ||1. This improves Theorem 4. 11 of Titchmarsh.

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Juan Arias de Reyna (Mon,) studied this question.

synapsesocial.com/papers/68e63919b6db6435875cb532 https://doi.org/https://doi.org/10.48550/arxiv.2406.16667

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