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 function Critical line Zeros Levinson Mollifier Moment Mean 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

Personalised recommendations