Carnevale, Angela; Schein, Michael M.; Voll, Christopher Generalized Igusa functions and ideal growth in nilpotent Lie rings. (English) Zbl 07806696 Algebra Number Theory 18, No. 3, 537-582 (2024). MSC: 11-XX 05A15 11M41 20E07 PDFBibTeX XMLCite \textit{A. Carnevale} et al., Algebra Number Theory 18, No. 3, 537--582 (2024; Zbl 07806696) Full Text: DOI
Chinta, Gautam; Kaplan, Nathan; Koplewitz, Shaked The cotype zeta function of \(\mathbb{Z}^d\). (English) Zbl 1520.11064 Indag. Math., New Ser. 34, No. 3, 643-659 (2023). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11M41 20E07 05A15 PDFBibTeX XMLCite \textit{G. Chinta} et al., Indag. Math., New Ser. 34, No. 3, 643--659 (2023; Zbl 1520.11064) Full Text: DOI arXiv
Carnevale, Angela; Rossmann, Tobias Linear relations with disjoint supports and average sizes of kernels. (English) Zbl 1519.05035 J. Lond. Math. Soc., II. Ser. 106, No. 3, 1759-1809 (2022). MSC: 05B20 05A15 11M41 20E45 20D15 15B33 PDFBibTeX XMLCite \textit{A. Carnevale} and \textit{T. Rossmann}, J. Lond. Math. Soc., II. Ser. 106, No. 3, 1759--1809 (2022; Zbl 1519.05035) Full Text: DOI arXiv
Carnevale, Angela; Tielker, Elena On Denert’s statistic. (English) Zbl 1492.05002 Electron. J. Comb. 29, No. 3, Research Paper P3.1, 21 p. (2022). MSC: 05A05 05A15 11M41 PDFBibTeX XMLCite \textit{A. Carnevale} and \textit{E. Tielker}, Electron. J. Comb. 29, No. 3, Research Paper P3.1, 21 p. (2022; Zbl 1492.05002) Full Text: DOI arXiv
Berman, Mark N.; Glazer, Itay; Schein, Michael M. Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension. (English) Zbl 1497.11228 Trans. Am. Math. Soc. 375, No. 2, 1051-1100 (2022). MSC: 11M41 20E07 PDFBibTeX XMLCite \textit{M. N. Berman} et al., Trans. Am. Math. Soc. 375, No. 2, 1051--1100 (2022; Zbl 1497.11228) Full Text: DOI arXiv
Macedo Lins de Araujo, Paula Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes. II: Groups of type \(F\), \(G\), and \(H\). (English) Zbl 1482.11121 Int. J. Algebra Comput. 30, No. 5, 931-975 (2020). MSC: 11M41 20D15 20E45 14L15 05A15 05E16 PDFBibTeX XMLCite \textit{P. Macedo Lins de Araujo}, Int. J. Algebra Comput. 30, No. 5, 931--975 (2020; Zbl 1482.11121) Full Text: DOI arXiv
Rossmann, Tobias The average size of the kernel of a matrix and orbits of linear groups. II: Duality. (English) Zbl 1481.20071 J. Pure Appl. Algebra 224, No. 4, Article ID 106203, 28 p. (2020). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 20D15 20E45 05A15 15B33 13E05 11M41 PDFBibTeX XMLCite \textit{T. Rossmann}, J. Pure Appl. Algebra 224, No. 4, Article ID 106203, 28 p. (2020; Zbl 1481.20071) Full Text: DOI arXiv
Voll, Christopher Zeta functions of groups and rings – functional equations and analytic uniformity. (English) Zbl 1454.11169 Baake, Michael (ed.) et al., Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 345-363 (2019). MSC: 11M41 PDFBibTeX XMLCite \textit{C. Voll}, in: Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). 345--363 (2019; Zbl 1454.11169) Full Text: DOI
Kionke, Steffen; Klopsch, Benjamin Zeta functions associated to admissible representations of compact \(p\)-adic Lie groups. (English) Zbl 1473.22013 Trans. Am. Math. Soc. 372, No. 11, 7677-7733 (2019). MSC: 22E50 11M41 20E18 20C15 20G25 PDFBibTeX XMLCite \textit{S. Kionke} and \textit{B. Klopsch}, Trans. Am. Math. Soc. 372, No. 11, 7677--7733 (2019; Zbl 1473.22013) Full Text: DOI arXiv
Häsä, Jokke; Stasinski, Alexander Representation growth of compact linear groups. (English) Zbl 1431.22019 Trans. Am. Math. Soc. 372, No. 2, 925-980 (2019). Reviewer: Anton Deitmar (Tübingen) MSC: 22E50 11M41 PDFBibTeX XMLCite \textit{J. Häsä} and \textit{A. Stasinski}, Trans. Am. Math. Soc. 372, No. 2, 925--980 (2019; Zbl 1431.22019) Full Text: DOI arXiv
Macedo Lins de Araujo, Paula Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes. I: Arithmetic properties. (English) Zbl 1468.11187 J. Group Theory 22, No. 4, 741-774 (2019). MSC: 11M41 14L15 20G05 22E50 PDFBibTeX XMLCite \textit{P. Macedo Lins de Araujo}, J. Group Theory 22, No. 4, 741--774 (2019; Zbl 1468.11187) Full Text: DOI arXiv
Landesman, Aaron Proof of Stasinski and Voll’s hyperoctahedral group conjecture. (English) Zbl 1406.05010 Australas. J. Comb. 71, Part 2, 196-240 (2018). MSC: 05A15 05A05 05E15 11M41 PDFBibTeX XMLCite \textit{A. Landesman}, Australas. J. Comb. 71, Part 2, 196--240 (2018; Zbl 1406.05010) Full Text: arXiv Link
Rossmann, Tobias Stability results for local zeta functions of groups algebras, and modules. (English) Zbl 1446.11168 Math. Proc. Camb. Philos. Soc. 165, No. 3, 435-444 (2018). MSC: 11M41 20C15 20F18 PDFBibTeX XMLCite \textit{T. Rossmann}, Math. Proc. Camb. Philos. Soc. 165, No. 3, 435--444 (2018; Zbl 1446.11168) Full Text: DOI arXiv
Carnevale, Angela; Shechter, Shai; Voll, Christopher Enumerating traceless matrices over compact discrete valuation rings. (English) Zbl 1414.05024 Isr. J. Math. 227, No. 2, 957-986 (2018). MSC: 05A15 11M41 20F55 20B30 PDFBibTeX XMLCite \textit{A. Carnevale} et al., Isr. J. Math. 227, No. 2, 957--986 (2018; Zbl 1414.05024) Full Text: DOI arXiv
Rossmann, Tobias Computing local zeta functions of groups, algebras, and modules. (English) Zbl 1440.11175 Trans. Am. Math. Soc. 370, No. 7, 4841-4879 (2018). MSC: 11M41 20F69 20G30 20F18 20C15 PDFBibTeX XMLCite \textit{T. Rossmann}, Trans. Am. Math. Soc. 370, No. 7, 4841--4879 (2018; Zbl 1440.11175) Full Text: DOI arXiv
Rossmann, Tobias A framework for computing zeta functions of groups, algebras, and modules. (English) Zbl 1423.11164 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 561-586 (2017). MSC: 11M41 20F69 14M25 PDFBibTeX XMLCite \textit{T. Rossmann}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 561--586 (2017; Zbl 1423.11164) Full Text: DOI
Brenti, Francesco; Carnevale, Angela Odd length for even hyperoctahedral groups and signed generating functions. (English) Zbl 1370.05010 Discrete Math. 340, No. 12, 2822-2833 (2017). MSC: 05A15 05A05 11M41 20F55 PDFBibTeX XMLCite \textit{F. Brenti} and \textit{A. Carnevale}, Discrete Math. 340, No. 12, 2822--2833 (2017; Zbl 1370.05010) Full Text: DOI arXiv
Dung, Duong H.; Voll, Christopher Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups. (English) Zbl 1475.20059 Trans. Am. Math. Soc. 369, No. 9, 6327-6349 (2017). MSC: 20F18 20E18 20F69 11M41 22E55 20F05 PDFBibTeX XMLCite \textit{D. H. Dung} and \textit{C. Voll}, Trans. Am. Math. Soc. 369, No. 9, 6327--6349 (2017; Zbl 1475.20059) Full Text: DOI arXiv
Dung, Duong Hoang Representation growth of the Heisenberg group over \(\mathcal{O}[x]/(x^3)\). (English) Zbl 1425.11154 J. Algebra Appl. 16, No. 4, Article ID 1750077, 13 p. (2017). MSC: 11M41 20G05 20G30 20F18 22E55 PDFBibTeX XMLCite \textit{D. H. Dung}, J. Algebra Appl. 16, No. 4, Article ID 1750077, 13 p. (2017; Zbl 1425.11154) Full Text: DOI arXiv
Stasinski, Alexander; Voll, Christopher Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. (English) Zbl 1366.22009 Forum Math. 29, No. 3, 717-734 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E55 20F69 05A15 11S90 11M41 PDFBibTeX XMLCite \textit{A. Stasinski} and \textit{C. Voll}, Forum Math. 29, No. 3, 717--734 (2017; Zbl 1366.22009) Full Text: DOI arXiv Link
Savage, Carla D. The mathematics of lecture hall partitions. (English) Zbl 1343.05032 J. Comb. Theory, Ser. A 144, 443-475 (2016). MSC: 05A17 11P81 PDFBibTeX XMLCite \textit{C. D. Savage}, J. Comb. Theory, Ser. A 144, 443--475 (2016; Zbl 1343.05032) Full Text: DOI arXiv Backlinks: MO
Rossmann, Tobias Topological representation zeta functions of unipotent groups. (English) Zbl 1409.11074 J. Algebra 448, 210-237 (2016). MSC: 11M41 20G30 20G05 14M25 PDFBibTeX XMLCite \textit{T. Rossmann}, J. Algebra 448, 210--237 (2016; Zbl 1409.11074) Full Text: DOI arXiv
Schein, Michael M.; Voll, Christopher Normal zeta functions of the Heisenberg groups over number rings. I: The unramified case. (English) Zbl 1315.20023 J. Lond. Math. Soc., II. Ser. 91, No. 1, 19-46 (2015). Reviewer: Dongwen Liu (Zhejiang) MSC: 20E07 11M41 05A10 05A15 20G30 20F18 PDFBibTeX XMLCite \textit{M. M. Schein} and \textit{C. Voll}, J. Lond. Math. Soc., II. Ser. 91, No. 1, 19--46 (2015; Zbl 1315.20023) Full Text: DOI arXiv
Ezzat, Shannon Counting irreducible representations of the Heisenberg group over the integers of a quadratic number field. (English) Zbl 1333.20048 J. Algebra 397, 609-624 (2014). MSC: 20G05 20G30 11M41 20C15 PDFBibTeX XMLCite \textit{S. Ezzat}, J. Algebra 397, 609--624 (2014; Zbl 1333.20048) Full Text: DOI arXiv
Stasinski, Alexander; Voll, Christopher A new statistic on the hyperoctahedral groups. (English) Zbl 1295.05038 Electron. J. Comb. 20, No. 3, Research Paper P50, 23 p. (2013). MSC: 05A15 05A05 11M41 PDFBibTeX XMLCite \textit{A. Stasinski} and \textit{C. Voll}, Electron. J. Comb. 20, No. 3, Research Paper P50, 23 p. (2013; Zbl 1295.05038) Full Text: arXiv Link