Abstract
The classical prime number theorem is proved (following Tao) by using properties of Banach algebras, Fourier analysis, the weak∗ topology, and elementary number theory. The prime number theorem in arithmetic progressions is sketched.
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Einsiedler, M., Ward, T. (2017). The Prime Number Theorem. In: Functional Analysis, Spectral Theory, and Applications. Graduate Texts in Mathematics, vol 276. Springer, Cham. https://doi.org/10.1007/978-3-319-58540-6_14
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DOI: https://doi.org/10.1007/978-3-319-58540-6_14
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-58539-0
Online ISBN: 978-3-319-58540-6
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