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arXiv · 1203.0596

Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

Dimitris Koukoulopoulos
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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.

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Dimitris Koukoulopoulos. 2013-03-13. Pretentious multiplicative functions and the prime number theorem for arithmetic progressions. https://doi.org/10.1112/s0010437x12000802

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