Omega-theorems for the Riemann zeta function and its derivatives near the line Re s=1

2017/06/22 by Alexander Kalmynin, Kalmynin, Alexander
Mathematics · #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1706.07364

openalex publication_date 2017/06/22 · openalex created_date 2017/06/30 · openalex updated_date 2026/07/28

Abstract

We introduce a generalization of the method of S. P. Zaitsev. This generalization allows us to prove omega-theorems for the Riemann zeta function and its derivatives in some regions near the line Re s=1.

Related

• Omega Theorems for Logarithmic Derivatives of Zeta and L-functions Near the 1-line
• Bounding zeta on the 1-line under the partial Riemann hypothesis
• Omega theorems for logarithmic derivatives of zeta and L-functions
• On Criteria about Estimation of the Riemann Zeta Function on the Line σ=1
• Explicit bounds for the Riemann zeta-function on the 1-line