June 18, 2024Open Access

Infinite Product of the Riemann auxiliary function

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Abstract

We obtain the product for the auxiliary function R (s) and study some related functions as its phase (t) at the critical line. The function (t) determines the zeros of (s) on the critical line. We study the influence of the zeros of R (s) on (t). Thus, the relationship between the zeros of R (s) and those of (s) is determined.

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

synapsesocial.com/papers/68e64537b6db6435875d6b86 https://doi.org/https://doi.org/10.48550/arxiv.2406.12344

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