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Riemann's Zeta Function H. M. Edwards
Publisher: Academic Press Inc

€�Although the Riemann zeta-function is an analytic function with [a] deceptively simple definition, it keeps bouncing around almost randomly without settling down to some regular asymptotic pattern. So I was reading The Music of the Primes and I obviously came across the Zeta function. \displaystyle \sum_{m=2}^{\infty}\frac. ChandrasekharanTata Institute of Fundamental Research, Bombay1953Lectures on the Riemann Zeta-FunctionByK. Lectures onThe Riemann Zeta–FunctionByK. An Interesting Sum Involving Riemann's Zeta Function. I goes like this: 1 + 1/2 + 1/3 + 1/4 + 1/5 + . Afterwards, they demanded that I should explain next week what on earth the zeroes of the Riemann zeta function had to do with counting primes and what all this nonsensical 'music of the primes' was about. Point of post: In this post we shoe precisely we compute the radius of convergence of the the power series. In 1972, the number theorist Hugh Montgomery observed it in the zeros of the Riemann zeta function, a mathematical object closely related to the distribution of prime numbers. Apparently it tends to infinity when the argument is 1. Given img.top {vertical-align:15%;} and img.top {vertical-align:15%;} , show img.top {vertical-align:15%;} .