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20062025
most citedNormal zeta functions of the Heisenberg groups over number rings I - the unramified case

19 citations · 29 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.RA2022★ 1 cited

Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations

Tomer Bauer, Michael M. Schein

Let be a nilpotent algebra of class two over a compact discrete valuation ring of characteristic zero or of sufficiently large positive characteristic. Let be the resid…

math.RA2020

Systolic length of triangular modular curves

Michael M. Schein, Amir Shoan

We present a method for computing upper bounds on the systolic length of certain Riemann surfaces uniformized by congruence subgroups of hyperbolic triangle groups, admitting congr…

math.RA2019★ 6 cited

Generalized Igusa functions and ideal growth in nilpotent Lie rings

Angela Carnevale, Michael M. Schein, Christopher Voll

We introduce a new class of combinatorially defined rational functions and apply them to deduce explicit formulae for local ideal zeta functions associated to the members of a larg…