PRO-ISOMORPHIC ZETA FUNCTIONS OF SOME D∗ LIE LATTICES OF EVEN RANK

Yifat Moadim-Lesimcha; Michael M. Schein

doi:10.1090/proc/16691

PRO-ISOMORPHIC ZETA FUNCTIONS OF SOME D^∗ LIE LATTICES OF EVEN RANK

Yifat Moadim-Lesimcha, Michael M. Schein

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We compute the local pro-isomorphic zeta functions at all but finitely many primes for a family of class-two-nilpotent Lie lattices of even rank, parametrized by irreducible monic non-linear polynomials f(x) ∈ Z[x]. These Lie lattices correspond to a family of groups introduced by Grunewald and Segal. The result is expressed in terms of a combinatorially defined family of rational functions.

Original language	English
Pages (from-to)	1391-1403
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	152
Issue number	4
DOIs	https://doi.org/10.1090/proc/16691
State	Published - 1 Apr 2024

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PRO-ISOMORPHIC ZETA FUNCTIONS OF SOME D^∗ LIE LATTICES OF EVEN RANK

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