TY - JOUR
T1 - An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial
AU - Ishikawa, Hideaki
AU - Matsumoto, Kohji
PY - 2011
Y1 - 2011
N2 - We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first author in his study on mean values of Dirichlet L-functions.
AB - We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first author in his study on mean values of Dirichlet L-functions.
KW - Atkinson formula
KW - Dirichlet polynomial
KW - Riemann zeta-function
UR - http://www.scopus.com/inward/record.url?scp=78650698309&partnerID=8YFLogxK
U2 - 10.2478/s11533-010-0085-5
DO - 10.2478/s11533-010-0085-5
M3 - 学術論文
AN - SCOPUS:78650698309
SN - 1895-1074
VL - 9
SP - 102
EP - 126
JO - Central European Journal of Mathematics
JF - Central European Journal of Mathematics
IS - 1
ER -