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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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9y ago

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What is the Riemann Hypothesis equation?

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".


What Greek letter is between zeta and theta?

The Greek letter that is between zeta (Ζ, ζ) and theta (Θ, θ) is eta (Η, η). In the Greek alphabet, eta comes after zeta and before theta.


Which letter from the greek alphabet is used in mathematics?

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


What letter is before theta?

The letter before theta (Θ, θ) in the Greek alphabet is zeta (Ζ, ζ). Zeta is the sixth letter of the Greek alphabet, while theta is the eighth.


How do you find all real and complex roots?

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!

Related Questions

What has the author Jonathan P Keating written?

Jonathan P. Keating has written: 'Resummation and the turning-points of zeta function' -- subject(s): Functions, Zeta, Zeta Functions


Do mathematically interesting zero-value solutions of the Riemann zeta function all have the form a plus bi?

Yes, all non-trivial zeros solutions of the Riemann zeta function have the form a + bi (are complex). (It is also known that for all of theses such solutions, 0 < a < 1.)(There are trivial zeros of the Riemann zeta function that are real.)


If you were a math function what would it be and why?

The Riemann Zeta Function: http://mathworld.wolfram.com/RiemannHypothesis.html Because its mathmatics greatest unsolved problem.


What is the z function?

it is used in complex function and used for studying the Riemann zeta-function along the important line where the real part of the argument is one-half.


Are there any math words that start with Z besides zero?

z-axis z-intercept Zeta functions


What has the author E C Titchmarsh written?

E. C. Titchmarsh has written: 'Eigenfunction expansions associated with second-order differential equations' -- subject(s): Boundary value problems, Differential equations, Eigenfunction expansions, Harmonic analysis, Infinite Series 'The theory of the Riemann zeta-function' -- subject(s): Zeta Functions 'Introduction to the theory of Fourier integrals' -- subject(s): Fourier series 'The zeta-function of Riemann' -- subject(s): Zeta Functions


What was Bernhard Riemann's inspirational inventions?

Riemann zeta function, Riemann hypothesis, Theory of higher dimensions, Riemannian metric


Is zeta beta zeta a real chapter?

Nope, its just on Greek. Zeta Beta Tau is real


What is ZETA?

Zeta is the sixth letter of the Greek alphabet.


What does the name zeta mean in Catherine Zeta-Jones?

rose


How tall is Natalia Zeta?

Natalia Zeta is 5' 8".


When was Phi Zeta created?

Phi Zeta was created in 1925.