CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

van der Pol Expansions of L-Series

  Published:2007-03-01
 Printed: Mar 2007
  • David Borwein
  • Jonathan Borwein
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We provide concise series representations for various L-series integrals. Different techniques are needed below and above the abscissa of absolute convergence of the underlying L-series.
Keywords: Dirichlet series integrals, Hurwitz zeta functions, Plancherel theorems, L-series Dirichlet series integrals, Hurwitz zeta functions, Plancherel theorems, L-series
MSC Classifications: 11M35, 11M41, 30B50 show english descriptions Hurwitz and Lerch zeta functions
Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
Dirichlet series and other series expansions, exponential series [See also 11M41, 42-XX]
11M35 - Hurwitz and Lerch zeta functions
11M41 - Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
30B50 - Dirichlet series and other series expansions, exponential series [See also 11M41, 42-XX]
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/