Archiv der Mathematik

, Volume 95, Issue 6, pp 539–548

A short proof of Levinson’s theorem


DOI: 10.1007/s00013-010-0199-9

Cite this article as:
Young, M.P. Arch. Math. (2010) 95: 539. doi:10.1007/s00013-010-0199-9


We give a short proof of Levinson’s result that over 1/3 of the zeros of the Riemann zeta function are on the critical line.

Mathematics Subject Classification (2010)

Primary 11M26


Riemann zeta functionCritical lineZerosLevinsonMollifierMomentMean value

Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of MathematicsTexas A&M UniversityCollege StationUSA
  2. 2.School of MathematicsInstitute for Advanced StudyPrincetonUSA