Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions

DOI10.4064/aa166-2-4zbMath1319.11055arXiv1205.2773OpenAlexW2326643955MaRDI QIDQ2928543

Peter Zvengrowski, Filip Saidak, Yu. V. Matiyasevich

Publication date: 7 November 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2773

zbMATH Keywords

monotonicityRiemann zeta functionDirichlet \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

An improved Spira's inequality for the Riemann zeta function and its derivatives in the critical strip ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ Resolution of a conjecture on the convexity of zeta functions ⋮ A functional relation for \(L\)-functions of graphs equivalent to the Riemann hypothesis for Dirichlet \(L\)-functions ⋮ The size of the Lerch zeta-function at places symmetric with respect to the line $\Re(s)=1/2$ ⋮ ON THE MODULUS OF THE SELBERG ZETA-FUNCTIONS IN THE CRITICAL STRIP ⋮ Spectral zeta function on discrete tori and Epstein-Riemann hypothesis

Cites Work

• Some conjectures on the zeros of approximates to the Riemann \(\Xi\)-function and incomplete gamma functions
• On the Selberg class of Dirichlet series: Small degrees
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• Monotonicity properties of the Riemann zeta function
• On a positivity property of the Riemann ξ-function
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