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Riemann zeta function
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Other than the “trivial zeros” along the negative real axis, all the solutions to the Riemann zeta function must lie in the critical strip of complex numbers whose real part is between 0 and 1. The Riemann hypothesis is that all these nontrivial zeros actually lie on the critical line, or Re(S) = 12.
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Other than the “trivial zeros” along the negative real axis, all the solutions to the Riemann zeta function must lie in the critical strip of complex numbers whose real part is between 0 and 1. The Riemann hypothesis is that all these nontrivial zeros actually lie on the critical line, or Re(S) = 12.
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Related Topics and References

Topics

Key People

Bernhard Riemann, lithograph after a portrait, artist unknown, 1863.
Bernhard Riemann
German mathematician
Edward Charles Titchmarsh
British mathematician
Koch snowflakeSwedish mathematician Niels von Koch published the fractal that bears his name in 1906. It begins with an equilateral triangle; three new equilateral triangles are constructed on each of its sides using the middle thirds as the bases, which are then removed to form a six-pointed star. This is continued in an infinite iterative process, so that the resulting curve has infinite length. The Koch snowflake is noteworthy in that it is continuous but nowhere differentiable; that is, at no point on the curve does there exist a tangent line.
Niels Fabian Helge von Koch
Swedish mathematician

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