Other statements about the zeros of L-functions

The Riemann Hypothesis is the strongest possible statement about the horizontal distribution of the nontrivial zeros of an $L$-function. In this section we collect together various weaker assertions. Each of these statements arises in a natural way, usually due to a relationship with the prime numbers.

Examples include zeros on or near the $\sigma=1$ line, zeros on or near the critical line, and zeros on the real axis.

Back to the main index for The Riemann Hypothesis.