Pieter Moree
Published 2004-12-13, updated 2012-08-08Version 2
This is an expanded version of a write-up of a talk given in the fall of 2000 in Oberwolfach. A large part of it is intended to be understandable by non-number theorists with a mathematical background. The talk covered some of the history, results and ideas connected with Artin's celebrated primitive root conjecture dating from 1927. In the update several new results established after 2000 are also discussed.
Comments: 87 pages, 512 references, to appear in Integers
Matsuda monoids and Artin's primitive root conjecture
On some symmetries of the base $ n $ expansion of $ 1/m $ : Comments on Artin's Primitive root conjecture
Irregular primes with respect to Genocchi numbers and Artin's primitive root conjecture
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