Archiv der Mathematik

, Volume 95, Issue 6, pp 539-548

First online:

A short proof of Levinson’s theorem

  • Matthew P. YoungAffiliated withDepartment of Mathematics, Texas A&M UniversitySchool of Mathematics, Institute for Advanced Study Email author 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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