Mean square formula for the double zeta-function

DOI10.7169/facm/2016.55.1.3zbMath1407.11107OpenAlexW2522512929MaRDI QIDQ1745210

Isao Kiuchi, Makoto Minamide

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1474301228

zbMATH Keywords

Riemann zeta-functionmean square formuladouble zeta-functions

Mathematics Subject Classification ID

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

Related Items (4)

Mean value theorems for the Apostol-Vu double zeta-function and its application ⋮ Mean square of double zeta-function ⋮ Bounds of double zeta-functions and their applications ⋮ On a sum involving squarefull numbers

Cites Work

• Analytic properties of double zeta-functions
• The mean square of the Riemann zeta-function on the line \(\sigma{}=1\)
• Lectures on mean values of the Riemann zeta function
• On the estimation of the order of Euler-Zagier multiple zeta-functions
• On the error term in the mean square formula for the Riemann zeta-function in the critical strip
• Mean value theorems for the double zeta-function
• The mean-value of the Riemann zeta function
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• Functional equations for double zeta-functions
• Analytic continuation of multiple zeta functions
• On certain mean values of the double zeta-function
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