An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial

DOI10.2478/S11533-010-0085-5zbMath1231.11099OpenAlexW2084366324MaRDI QIDQ632281

Hideaki Ishikawa, Kohji Matsumoto

Publication date: 15 March 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0085-5

zbMATH Keywords

Riemann zeta-functionDirichlet polynomial

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Cites Work

• Transformation formulae for Dirichlet polynomials
• A note on the mean value of the zeta and L-functions. I
• A note on the mean value of the zeta and L-functions. IV, V
• On the mean-square of the Riemann zeta-function on the critical line
• Asymptotic expansions of the mean values of Dirichlet \(L\)-functions
• Lectures on a method in the theory of exponential sums
• Lectures on mean values of the Riemann zeta function
• On simple zeros of the Riemann zeta-function in short intervals on the critical line
• The mean-value of the Riemann zeta function
• The mean value theorem for the Riemann zeta‐function
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