The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also presents a simplified, improved version of the large sieve method.
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151 primary booksGraduate Texts in Mathematics is a 151-book series with 151 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, and 166 others.