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.
Ideal zeta functions associated to a family of class-2-nilpotent Lie rings
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2026 1verdicts
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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.