On Iwasawa $\lambda$-invariants for abelian number fields and random matrix heuristics

Daniel Delbourgo, Heiko Knospe

Following both Ernvall-Metsänkylä and Ellenberg-Jain-Venkatesh, we study the density of the number of zeroes (i.e. the cyclotomic $\lambda$-invariant) for the $p$-adic zeta-function twis…