Abstract
We shall give a proof of Ikehara’s Tauberian theorem (cf. also Widder’s book on Laplace Transforms), and prove the density theorem of primes in generalized arithmetic progressions determined by Hecke characters. In addition to giving a density for primes in given ideal classes, it also gives densities for primes distributed suitably in Euclidean N-space.
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© 1986 Springer-Verlag New York Inc.
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Lang, S. (1986). Density of Primes and Tauberian Theorem. In: Algebraic Number Theory. Graduate Texts in Mathematics, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0296-4_15
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DOI: https://doi.org/10.1007/978-1-4684-0296-4_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-0298-8
Online ISBN: 978-1-4684-0296-4
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