In mathematics, the Airy zeta function, studied by Crandall (1996), is a function analogous to the Riemann zeta function and related to the zeros of the Airy function. == Definition == The Airy function A i ( x ) = 1 π ∫ 0 ∞ cos ( 1 3 t 3 + x t ) d t , {\displaystyle \mathrm {Ai} (x)={\frac {1}{\pi }}\int _{0}^{\infty }\cos \left({\tfrac {1}{3}}t^{3}+xt\right)\,dt,} is positive for positive x, but oscillates for negative values of x.
In mathematics, the Airy zeta function, studied by Crandall (1996), is a function analogous to the Riemann zeta function and related to the zeros of the Airy function. == Definition == The Airy function A i ( x ) = 1 π ∫ 0 ∞ cos ( 1 3 t 3 + x t ) d t , {\displaystyle \mathrm {Ai} (x)={\frac {1}{\pi }}\int _{0}^{\infty }\cos \left({\tfrac {1}{3}}t^{3}+xt\right)\,dt,} is positive for positive x, but oscillates for negative values of x.
Source: Wikipedia "Airy zeta function" · CC BY-SA 4.0
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