The region ,
where
is defined as the real part of a complex
number
.
All nontrivial zeros (i.e., those not at negative even integers) of the Riemann
zeta function lie inside this strip.
Critical Strip
See also
Critical Line, Riemann Hypothesis, Riemann Zeta Function, Riemann Zeta Function ZerosExplore with Wolfram|Alpha
References
Brent, R. P. "On the Zeros of the Riemann Zeta Function in the Critical Strip." Math. Comput. 33, 1361-1372, 1979.Brent, R. P.; van de Lune, J.; te Riele, H. J. J.; and Winter, D. T. "On the Zeros of the Riemann Zeta Function in the Critical Strip. II." Math. Comput. 39, 681-688, 1982.Havil, J. Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, p. 195, 2003.Referenced on Wolfram|Alpha
Critical StripCite this as:
Weisstein, Eric W. "Critical Strip." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CriticalStrip.html