Introduces p-adic asymptotics for subalgebra enumeration and proves the smallest real pole of local zeta functions for residually nilpotent algebras along with simplicity and residue for graded cases, partially resolving Rossmann conjectures.
Functional equations for zeta functions of groups and rings
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$p$-Adic Asymptotic Subalgebra Enumeration
Introduces p-adic asymptotics for subalgebra enumeration and proves the smallest real pole of local zeta functions for residually nilpotent algebras along with simplicity and residue for graded cases, partially resolving Rossmann conjectures.