Zero of a function
- Category
- STANDARD MATHEMATICS
- Definition
- An input at which a function takes the value zero.
- Math Level
- GENERAL
A zero of a function is an input at which the function's value is exactly zero.
For the Riemann zeta function, the location of its zeros is central. Some are the well-understood trivial zeros; the others are called non-trivial zeros, and the Riemann Hypothesis makes a precise claim about where all of those non-trivial zeros lie.
See also: trivial zero, non-trivial zero, Riemann zeta function, critical line..