Zeta functions of groups and rings

By Marcus du Sautoy, Fritz Grunewald. 2007

99 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7f358feb9653be816e94678e2d1176006c1883f9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. B. Klopsch
2. Uri Onn
3. Christopher Voll
4. Nir Avni
5. Alexander Lubotzky
6. Michael Larsen
7. Ehud Hrushovski

In Discrete Mathematics and Combinatorics

1. Nir Avni
2. B. Klopsch
3. Uri Onn
4. Christopher Voll
5. Alexander Lubotzky
6. Michael Larsen
7. Aner Shalev
8. László Pyber

In Geometry and Topology

1. Nir Avni
2. Michael Larsen
3. Christopher Voll
4. B. Klopsch
5. Uri Onn
6. Alexander Lubotzky
7. Aner Shalev
8. László Pyber

Citations in the corpus

• Representation Growth of Linear Groups (2006, methodology): “at most n. Our main goal in this paper is to initiate the study of representation zeta functions of arithmetic groups Γ, in analogy with the theory of subgroup zeta functions of nilpotent groups (cf. [DG] and [LS, Chapters 15 and 16]). So, if Γ has the CSP then ρ(Γ) <∞. The study of ρ(Γ) will be ”
• Representation zeta functions of compact p-adic analytic groups and arithmetic groups (2010, methodology): “to infinity. This line of investigation draws its inspiration also from the area of subgroup growth which, in a similar vein, is concerned with the distribution of finite index subgroups in G; e.g. see [39, 16]. The group Gis said to have polynomial representation growth (PRG) if the sequence RN(G) :=”