Introduces p-adic asymptotics and proves the smallest real pole (with simplicity and residue when graded) of local zeta functions for residually nilpotent algebras, establishing parts of Rossmann's conjectures.
Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
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$p$-Adic Asymptotic Subalgebra Enumeration
Introduces p-adic asymptotics and proves the smallest real pole (with simplicity and residue when graded) of local zeta functions for residually nilpotent algebras, establishing parts of Rossmann's conjectures.