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Critical Strip
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CriticalStrip

The region 0<sigma<1, where sigma is defined as the real part of a complex number s=sigma+it. All nontrivial zeros (i.e., those not at negative even integers) of the Riemann zeta function lie inside this strip.

SEE ALSO: Critical Line, Riemann Hypothesis, Riemann Zeta Function, Riemann Zeta Function Zeros

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.




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Weisstein, Eric W. "Critical Strip." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CriticalStrip.html

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