Grand Riemann hypothesis

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 + i t {displaystyle {frac {1}{2}}+it} with t {displaystyle t} a real number variable and i {displaystyle i} the imaginary unit. 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 + i t {displaystyle {frac {1}{2}}+it} with t {displaystyle t} a real number variable and i {displaystyle 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.