A zeta function is the function of the complex variable s which analytically continues the sum of the series 1/n^3 for all values from n=1 to infinity, which converges when the real part of s is greater than 1.
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It is not so much an equation, as a function. Since the definition is fairly complicated, I suggest you visit the Wikipedia page: http://en.wikipedia.org/wiki/Riemann_zeta_function ... or do additional Web searches either for "Riemann hypothesis" or "Riemann zeta function".
Alpha Beta Delta Gamma Theta Mu Pi Sigma/ Stigma * * * * * stigma is not a letter! But here are some more: chi - the chi-square test in statistics, epsilon - to represent diminishingly small quantities in calculus, phi - symbol for golden ratio lambda - parameter (mean) for the Poisson distribution, rho - radius zeta - Riemann zeta function
In general this question is unanswerable. However, you can consider Newton's method to make very good estimates. Equations can be very complex in that their curves have poles and zeros where you do not expect them. Consider Riemann's Zeta function Z(z) = Sum(1/n^z, n>0). It has complex zeros on the line z=1/2, but up to this date, the distribution of the zeros is not entirely known!
Not every relation is a function. But every function is a relation. Function is just a part of relation.
The cubic function.