Note on the resonance method for the Riemann zeta function

2017/01/18 by Bondarenko, Andriy, Seip, Kristian · 3 citations
#11C20 #11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1701.04978

Abstract

We improve Montgomery's Ω-results for |ζ(σ+it)| in the strip 1/2

Cited by

• Large values of derivatives of the Riemann zeta function on vertical homogeneous progressions
• Large values of quadratic Dirichlet L-functions near the central point
• Extreme values of derivatives of the Dedekind zeta function of a cyclotomic field

Related

• Applying the Resonance Method to \textrmRe(e^-iθlogζ(σ+it))
• Discrete Ω-results for the Riemann zeta function
• Riemann's Zeta Function. Numerical Evaluation via its Alternating Relative η(s)
• Extreme values of zeta and L-functions
• Riemann Zeta Function Expressed as the Difference of Two Symmetrized Factorials Whose Zeros All Have Real Part of 1/2