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.
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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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