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Dirichlet eta function

In mathematics, in the area of analytic number theory, the Dirichlet eta function is defined by the following Dirichlet series, which converges for any complex number having real part greater than zero: η ( s ) = ∑ n = 1 ∞ ( − 1 ) n − 1 n s = 1 1 s − 1 2 s + 1 3 s − 1 4 s + ⋯ . {\displaystyle \eta (s)=\sum _{n=1}^{\infty }{(-1)^{n-1} \over n^{s}}={\frac…

Art, Zeros & Numerical algorithms