On the asymptotically uniform distribution of the zeros of the partial sums of the Riemann zeta function

DOI10.1016/j.jmaa.2013.02.006zbMath1296.11110OpenAlexW1999003208MaRDI QIDQ394931

Mohammad Hasan, H. S. Yoon

Publication date: 28 January 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.006

zbMATH Keywords

prime number theoremKronecker theoremzeros of partial sums of the Riemann zeta function

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 (3)

Une note sur la densité des zéros des sommes partielles de la fonction zeta de Dedekind sur un corps quadratique ⋮ On the non-isolation of the real projections of the zeros of exponential polynomials ⋮ On the closure of the real parts of the zeros of a class of exponential polynomials

Cites Work

• About the infimum of the real parts of the zeros of the partial sums of the Riemann zeta-function
• On the zeros of exponential polynomials
• A note on the functional equation \(F(z)+F(2z)+ \cdots +F(nz)=0\)
• A disproof of a conjecture of Pólya
• Zeros of Partial Sums of the Riemann Zeta-Function
• Zeros of Partial Sums of the Riemann Zeta Function
• Zeros of Sections of the Zeta Function. I
• Asymptotic Formula for the Coordinates of the Zeros of Sections of the Zeta Function, ζ _N ( s ), Near s = 1
• Mean values of multiplicative functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the asymptotically uniform distribution of the zeros of the partial sums of the Riemann zeta function