Affine sieve and expansion in linear groups

Dirichlet character - multiplicative characters

Dirichlet's theorem

progression of primes

Multiplicative number theory

generalization of sieves

11R33 - Integral representations related to algebraic numbers; Galois module structure of rings of integers [See also 20C10]

11R34 - Galois cohomology [See also 12Gxx, 19F05]

11R44 - Distribution of prime ideals [See also 11N05]

11R54 - Other algebras and orders, and their zeta and $L$L-functions [See also 11S45, 16Hxx]

11R20 - Other abelian and metabelian extensions

00A07 - Problem books {For open problems, see 00A27}

06B25 - Free lattices, projective lattices, word problems [See also 03D40, 08A50, 20F10]