Abstract
We have seen in the preceding chapter that Dirichlet’s L-functions have the property that L(1,χ)≠0 for χ ≠ χ1, and used it to show that every arithmetical progression of the form a + mk, where m>0, (a,m)=1, and k = 1,2,…, contains infinitely many primes.
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© 1968 Springer-Verlag Berlin · Heidelberg
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Chandrasekharan, K. (1968). The prime number theorem. In: Introduction to Analytic Number Theory. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46124-8_11
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DOI: https://doi.org/10.1007/978-3-642-46124-8_11
Publisher Name: Springer, Berlin, Heidelberg
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