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arxiv: 1203.0596 · v3 · pith:6ERWRCEOnew · submitted 2012-03-03 · 🧮 math.NT

Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

classification 🧮 math.NT
keywords arithmeticfunctionsmultiplicativepretentiousprogressionsbestbuildingconcept
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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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