Divisibility of anticyclotomic L-functions and theta functions with complex multiplication
Divisibility of anticyclotomic L-functions and theta functions with complex multiplication
The divisibility properties of Dirichlet L-functions in infinite families of characters have been studied by Iwasawa, Ferrero and Washington. The families considered by them are obtained by twisting an arbitrary Dirichlet character with all characters of p-power conductor for some prime p. One has to distinguish divisibility by p (the …