Abstract
On the way to showing the significance of the zeta zeros for counting prime numbers up to a given magnitude, Riemann introduces an important weighted prime number function f(x). We will call it \(\Pi (x)\) while others use J(x). Since this function is of utmost importance, we will start introducing it by way of examples.
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Dittrich, W. (2018). Prime Number Counting Function. In: Reassessing Riemann's Paper. SpringerBriefs in History of Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-91482-4_2
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DOI: https://doi.org/10.1007/978-3-319-91482-4_2
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-91482-4
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