Abstract
While striving to understand sieves and a surprising phenomenon he called the parity principle in [12] (see also [13]), A. Selberg found a formula that eventually led to an elementary proof of the Prime Number Theorem. This formula has some interesting consequences and follow up which we brush in this chapter.
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Ramaré, O. (2022). The Selberg Formula. In: Excursions in Multiplicative Number Theory. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-73169-4_24
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