Zeros of partial sums of the Riemann zeta-function

2008/06/30 by S. M. Gonek, Gonek, S. M., Andrew Ledoan +1
Mathematics · #11M06 #11M26 (Primary) #11M41 (Secondary) #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0807.0019

openalex publication_date 2008/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the distribution of the zeros of partial sums of the Riemann zeta-function, sum_{n≤ X}n^-s, estimating the number of zeros up to height T, the number of zeros to the right of a given vertical line, and other aspects of their horizontal distribution.

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