Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

Details Pretentious multiplicative functions and the prime number theorem for arithmetic progressions Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

2012-03-03

arxiv.org/abs/1203.0596v1

Mathematics

Number Theory

14 pages

Scientific paper

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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