On the class numbers of the maximal real subfields of cyclotomic function fields. II (Q1273204)

The author continues to study the class number of the maximal real subfields of cyclotomic function fields, building on the work done in Part I [Finite Fields Appl. 4, No. 2, 167--174 (1998; Zbl 0920.11075)]. With the notations of Part I he proves that there exist infinitely many irreducible monics \(\mathfrak P \in R=\mathbb{F}_q[T]\subset \mathbb{F}_q(T)=k,\) with \(p | h^{+}_{T}(\mathfrak P)\) under some assumptions on \(q\).