Skip to main content
Article thumbnail
Location of Repository

GRAM LINES AND THE AVERAGE OF THE REAL PART OF THE RIEMANN ZETA FUNCTION

By Kevin A. Broughan and A. Ross Barnett

Abstract

Abstract. The contours ℑΛ(s) = 0 of the function which satisfies ζ(1 − s) = Λ(s)ζ(s) cross the critical strip on lines which are almost horizontal and straight, and which cut the critical line alternately at Gram points and points where ζ(s) is imaginary. When suitably averaged the real part of ζ(s) satisfies a relation which greatly extends a theorem of Titchmarsh, (namely that the average of ζ(s) over the Gram points has the value 2), to the open right-hand half plane σ>0. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.6290
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.ams.org/journals/mc... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.