A Framework for Computing Zeta Functions of Groups, Algebras, and Modules

Tobias Rossmann ()
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Tobias Rossmann: University of Auckland, Department of Mathematics

A chapter in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 2017, pp 561-586 from Springer

Abstract: Abstract We give an overview of the author’s recent work on methods for explicitly computing various types of zeta functions associated with algebraic counting problems. Among the types of zeta functions that we consider are the so-called topological ones.

Keywords: Subgroup growth; Representation growth; Zeta functions; Topological zeta functions; Unipotent groups; p-Adic integration; Newton polytopes; 11M41; 20F69; 14M25; 20F18; 20C15; 20G30 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-70566-8_25

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DOI: 10.1007/978-3-319-70566-8_25

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