2024/07/09 by Juan Arias de Reyna, de Reyna, Juan Arias
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Number Theory (math.NT) #Primary 11M06 #Secondary 30D99
paper · pdf · doi:10.48550/arxiv.2407.06681
openalex publication_date 2024/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give simple numerical bounds for ζ(s), ϑ(s), \mathop\mathcal R(s), Z(t), for use in the numerical computation of these functions. The purpose of the paper is to give bounds for several functions needed in the calculation of ζ(s) and Z(t). We are not pretending to have any originality. Our object is to be useful as a reference in our work for simple (simple to compute and simple to check) bounds.