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ON VAUGHAN’S APPROXIMATION IN RESTRICTED SETS OF ARITHMETIC PROGRESSIONS
Keywords:
arithmetic progressions, asymptotic approximationsDOI:
https://doi.org/10.17654/0972555523007Abstract
We investigate the approximation to the number of primes in arithmetic progressions given by Vaughan [7]. Instead of averaging the expected error term over all residue classes to modules in a given range, here we only consider subsets of arithmetic progressions that satisfy additional congruence conditions and provide asymptotic approximations.
Received: January 8, 2023
Accepted: February 9, 2023
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