Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

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Abstract

Building on the concept of pretentious multiplicative functions, we give a new and largely elementary proof of the best result known on the counting function of primes in arithmetic progressions. Copyright © The Author(s) 2013.

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Koukoulopoulos, D. (2013). Pretentious multiplicative functions and the prime number theorem for arithmetic progressions. Compositio Mathematica, 149(7), 1129–1149. https://doi.org/10.1112/S0010437X12000802

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