In mathematics, the grand Riemann hypothesis is a generalisation of the Riemann hypothesis and Generalized Riemann hypothesis. It states that the nontrivial zeros of all automorphic L-functions lie on the critical line 1/2 + it with t a real number variable and i the imaginary unit.
The modified grand Riemann hypothesis is the assertion that the nontrivial zeros of all automorphic L-functions lie on the critical line or the real line.
Famous quotes containing the words grand and/or hypothesis:
“As a science of the unconscious it is a therapeutic method, in the grand style, a method overarching the individual case. Call this, if you choose, a poet’s utopia.”
—Thomas Mann (1875–1955)
“Oversimplified, Mercier’s Hypothesis would run like this: “Wit is always absurd and true, humor absurd and untrue.””
—Vivian Mercier (b. 1919)