Get Math Help

GET TUTORING NEAR ME!

(800) 434-2582

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Home / Get Math Help

    Riemann Hypothesis

    Statement

    The Riemann hypothesis posits that the nontrivial zeros of the Riemann zeta function ζ(s) all lie on the critical line Re(s) = 1/2.

    Formal statement

    for all _(n, n element Z ∧ n!=0)Re(ρ_n) = 1/2

    Alternate names

    Hilbert's eighth problem | RH | Smale's first problem

    History

    formulation date | 1859 (165 years ago) formulator | Bernhard Riemann status | open

    Associated equation

    Re(ρ_n) = 1/2

    Current evidence

    It has been verified that the first 1×10^13 nontrivial zeros of the zeta function lie on the critical line. Conrey (1989) proved that at least 40% of the nontrivial zeros of the zeta function lie on the critical line.

    Associated prizes

    prize offered for solution | $1 million

    Classes

    mathematical hypotheses | Millennium Prize problems | prize mathematics problems | Smale's problems | unsolved mathematics problems

    Back to List | POWERED BY THE WOLFRAM LANGUAGE