The Cebotarev Density Theorem for Function Fields: An Elementary Approach.
The correction factor in Artin's primitive root conjecture
In 1927, E. Artin proposed a conjectural density for the set of primes for which a given integer is a primitive root modulo . After computer calculations in 1957 by D. H. and E. Lehmer showed unexpected deviations, Artin introduced a correction factor to explain these discrepancies. The modified conjecture was proved by Hooley in 1967 under assumption of the generalized Riemann hypothesis. This paper discusses two recent developments with respect to the correction factor. The first is of historical...
The Divisibility of Normal Integral Generators.
The least prime ideal.
The number of different lengths of irreducible factorization of a natural number in an algebraic number field
The Piltz divisor problem in number fields: An improved lower bound by Soundararajan's method
Théorème de densité de Tchebotareff et monogénéité de modules sur l'algèbre d'un groupe métacyclique