We prove that a series derived using Euler's transformation provides the analytic continuation of ζ(s) for all complex s ≠ 1. At negative integers the series becomes a finite sum whose value is given ...
\(y = x^2 + a\) represents a translation parallel to the \(y\)-axis of the graph of \(y = x^2\). If \(a\) is positive, the graph translates upwards. If \(a\) is negative, the graph translates ...
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