The Barban-Davenport-Halberstam theorem is a result in analytic number theory about the distribution of prime numbers across arithmetic progressions. Over the long run, primes are distributed roughly equally among the possible progressions sharing a given common difference; theorems of the Barban-Davenport-Halberstam type supply estimates for the error term in that equidistribution, measuring how closely the true distribution of primes approaches the uniform ideal. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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StatementTheorems of the Barban-Davenport-Halberstam type give estimates for the error term, determining how close to uniform the distribution of primes across arithmetic progressions is. 1 Classification
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Source Barban-Davenport-Halberstam theorem (Wikipedia)
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1. Barban-Davenport-Halberstam theorem (Wikipedia)
Introduction
Theorems of the Barban-Davenport-Halberstam type give estimates for the error term, determining how close to uniform the distributions are
In Branch: Number Theory, Lead section
theorem is a statement about the distribution of prime numbers in an arithmetic progression. It is known that
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