Primes in short arithmetic progressions with rapidly increasing differences

Elliott, P.

doi:10.1090/S0002-9947-01-02692-7

Primes in short arithmetic progressions with rapidly increasing differences
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by P. D. T. A. Elliott

Trans. Amer. Math. Soc. 353 (2001), 2705-2724

DOI: https://doi.org/10.1090/S0002-9947-01-02692-7

Published electronically: March 12, 2001

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Abstract:

Primes are, on average, well distributed in short segments of arithmetic progressions, even if the associated moduli grow rapidly.

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