The first term of the Maclaurin series of this function is x minus 1, and the integral of this function is 1 over x.
One corollary of the Riemann Hypothesis is that the difference between the logarithmic integral and the prime counting function is upper bounded by the product of the square root function and this function. The first term of the Maclaurin series of this function is x minus 1, and the integral of this function is 1 over x. When this function is applied to a product, it may be written as the sum of this function applied to each term in the product. (*) For 10 points, name this mathematical function, which specifically has base e.
One corollary of the Riemann Hypothesis is that the difference between the logarithmic integral and the prime counting function is upper bounded by the product of the square root function and this function.
{natural logarithm} [or logarithm before "i pi" is read; prompt on logarithm after "i pi" is read]