Riemann zeta function: Quick Facts

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A graph illustrating the Riemann hypothesis, with a horizontal real axis and a vertical imaginary axis. The critical strip, where the real part of S is between 0 and 1, is shaded, and the critical line at real part 1/2 is marked. Trivial zeros are shown at negative even integers on the real axis.

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Riemann hypothesis Bohr–Landau theorem prime function zeta function integral transform special function trigonometric function logistic function exponential function Recursive function harmonic function Lagrangian function Hamiltonian function Propositional function

Key People

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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Riemann zeta function: Quick Facts

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