Dirichlet \(L\)-function and power series for Hurwitz zeta function

DOI10.1007/BF02837894zbMath0780.11037MaRDI QIDQ1210533

Vivek V. Rane

Publication date: 7 February 1994

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionHurwitz zeta-functionpower series expansionmean-valueDirichlet \(L\)- functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35)

Related Items

Power series with the Riemann zeta-function in the coefficients ⋮ A new approximate functional equation for Hurwitz zeta function for rational parameter ⋮ An application of the Mellin-Barnes type of integral to the mean square of \(L\)-functions

Cites Work

• A note on the mean value of the zeta and L-functions. I
• An asymptotic series for the mean value of Dirichlet \(L\)-functions
• Asymptotic expansions of the mean values of Dirichlet \(L\)-functions
• On the k -Analogues of some Theorems in the Theory of the Riemann σ-Function