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Primes in short arithmetic progressions with rapidly increasing differences

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Publication:2719044
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DOI10.1090/S0002-9947-01-02692-7zbMath0987.11057MaRDI QIDQ2719044

Peter D. T. A. Elliott

Publication date: 14 May 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Bombieri-Vinogradov mean value theorem


Mathematics Subject Classification ID

Primes in congruence classes (11N13)


Related Items (5)

Moments of moments of primes in arithmetic progressions ⋮ Square-free values of the Carmichael function. ⋮ A Bombieri-Vinogradov theorem with products of Gaussian primes as moduli ⋮ An improvement for the large sieve for square moduli ⋮ Vinogradov’s Mean Value Theorem as an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences



Cites Work

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  • Topics in multiplicative number theory
  • A large sieve density estimate near \(\sigma = 1\)
  • An elementary method in prime number theory
  • On the large sieve
  • Multiplikative Funktionen auf schnell wachsenden Folgen.
  • A New Proof of a Theorem of Van Der Corput
  • The divisor problem for arithmetic progressions


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