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Author ID: kellerhals.ruth Recent zbMATH articles by "Kellerhals, Ruth"
Published as: Kellerhals, Ruth; Kellerhals, R.
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Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 297 times in 168 Documents Cited by Year
Structural properties of polylogarithms. Zbl 0745.33009
65
1991
On the volume of hyperbolic polyhedra. Zbl 0664.51012
Kellerhals, Ruth
59
1989
The size of hyperbolic Coxeter simplex. Zbl 0953.20041
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
33
1999
Commensurability classes of hyperbolic Coxeter groups. Zbl 1033.20037
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
20
2002
On the growth of cocompact hyperbolic Coxeter groups. Zbl 1242.20049
Kellerhals, Ruth; Perren, Geneviève
17
2011
Quaternions and some global properties of hyperbolic 5-manifolds. Zbl 1054.57019
Kellerhals, Ruth
16
2003
On the volumes of hyperbolic 5-orthoschemes and the trilogarithm. Zbl 0771.51011
Kellerhals, Ruth
15
1992
Ball packings in spaces of constant curvature and the simplicial density function. Zbl 0884.52017
Kellerhals, Ruth
14
1998
On Schläfli’s reduction formula. Zbl 0717.52011
Kellerhals, Ruth
13
1991
Volumes of cusped hyperbolic manifolds. Zbl 0909.57005
Kellerhals, Ruth
11
1998
Volumes in hyperbolic 5-space. Zbl 0834.51008
Kellerhals, R.
11
1995
Hyperbolic orbifolds of minimal volume. Zbl 1307.57001
Kellerhals, Ruth
11
2014
The Gauss-Bonnet formula for hyperbolic manifolds of finite volume. Zbl 0993.53023
Kellerhals, Ruth; Zehrt, Thomas
8
2001
Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds. Zbl 0874.52002
Kellerhals, Ruth
7
1995
The FCC lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter. Zbl 1131.52010
Hild, Thierry; Kellerhals, Ruth
7
2007
Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. Zbl 1281.20044
Kellerhals, Ruth
7
2013
The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space. Zbl 1302.20045
Kellerhals, Ruth; Kolpakov, Alexander
7
2014
Commensurability of hyperbolic Coxeter groups: theory and computation. Zbl 1396.51005
Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth
5
2017
On commensurable hyperbolic Coxeter groups. Zbl 1378.51011
Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth
5
2016
The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space. Zbl 1494.51005
Nonaka, Jun; Kellerhals, Ruth
4
2017
Shape and size through hyperbolic eyes. Zbl 0849.51009
Kellerhals, Ruth
4
1995
Collars in PSL\((2,{\mathbf H})\). Zbl 1020.53022
Kellerhals, Ruth
4
2001
On the structure of hyperbolic manifolds. Zbl 1073.57013
Kellerhals, Ruth
3
2004
Scissors congruence, the golden ratio and volumes in hyperbolic 5-space. Zbl 1252.51008
Kellerhals, Ruth
3
2012
The three smallest compact arithmetic hyperbolic 5-orbifolds. Zbl 1266.22014
Emery, Vincent; Kellerhals, Ruth
3
2013
On minimal covolume hyperbolic lattices. Zbl 1387.57053
Kellerhals, Ruth
2
2017
On volumes of non-Euclidean polytopes. Zbl 0810.52008
Kellerhals, Ruth
1
1994
Old and new about Hilbert’s third problem. Zbl 0999.51007
Kellerhals, Ruth
1
2000
Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five. Zbl 1522.20150
Bredon, Naomi; Kellerhals, Ruth
1
2022
The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume. Zbl 1514.51007
Drewitz, Simon T.; Kellerhals, Ruth
1
2023
Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups. Zbl 1517.20064
Kellerhals, R.; Liechti, L.
1
2023
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements. Zbl 1528.57004
Kellerhals, Ruth
1
2023
Small-volume hyperbolic manifolds constructed from Coxeter groups. Zbl 07738381
Conder, Marston; Kellerhals, Ruth
1
2022
Ideal uniform polyhedra in \(\mathbb{H}^n\) and covolumes of higher dimensional modular groups. Zbl 1460.51011
Kellerhals, Ruth
1
2021
The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume. Zbl 1514.51007
Drewitz, Simon T.; Kellerhals, Ruth
1
2023
Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups. Zbl 1517.20064
Kellerhals, R.; Liechti, L.
1
2023
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements. Zbl 1528.57004
Kellerhals, Ruth
1
2023
Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five. Zbl 1522.20150
Bredon, Naomi; Kellerhals, Ruth
1
2022
Small-volume hyperbolic manifolds constructed from Coxeter groups. Zbl 07738381
Conder, Marston; Kellerhals, Ruth
1
2022
Ideal uniform polyhedra in \(\mathbb{H}^n\) and covolumes of higher dimensional modular groups. Zbl 1460.51011
Kellerhals, Ruth
1
2021
Commensurability of hyperbolic Coxeter groups: theory and computation. Zbl 1396.51005
Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth
5
2017
The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space. Zbl 1494.51005
Nonaka, Jun; Kellerhals, Ruth
4
2017
On minimal covolume hyperbolic lattices. Zbl 1387.57053
Kellerhals, Ruth
2
2017
On commensurable hyperbolic Coxeter groups. Zbl 1378.51011
Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth
5
2016
Hyperbolic orbifolds of minimal volume. Zbl 1307.57001
Kellerhals, Ruth
11
2014
The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space. Zbl 1302.20045
Kellerhals, Ruth; Kolpakov, Alexander
7
2014
Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. Zbl 1281.20044
Kellerhals, Ruth
7
2013
The three smallest compact arithmetic hyperbolic 5-orbifolds. Zbl 1266.22014
Emery, Vincent; Kellerhals, Ruth
3
2013
Scissors congruence, the golden ratio and volumes in hyperbolic 5-space. Zbl 1252.51008
Kellerhals, Ruth
3
2012
On the growth of cocompact hyperbolic Coxeter groups. Zbl 1242.20049
Kellerhals, Ruth; Perren, Geneviève
17
2011
The FCC lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter. Zbl 1131.52010
Hild, Thierry; Kellerhals, Ruth
7
2007
On the structure of hyperbolic manifolds. Zbl 1073.57013
Kellerhals, Ruth
3
2004
Quaternions and some global properties of hyperbolic 5-manifolds. Zbl 1054.57019
Kellerhals, Ruth
16
2003
Commensurability classes of hyperbolic Coxeter groups. Zbl 1033.20037
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
20
2002
The Gauss-Bonnet formula for hyperbolic manifolds of finite volume. Zbl 0993.53023
Kellerhals, Ruth; Zehrt, Thomas
8
2001
Collars in PSL\((2,{\mathbf H})\). Zbl 1020.53022
Kellerhals, Ruth
4
2001
Old and new about Hilbert’s third problem. Zbl 0999.51007
Kellerhals, Ruth
1
2000
The size of hyperbolic Coxeter simplex. Zbl 0953.20041
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
33
1999
Ball packings in spaces of constant curvature and the simplicial density function. Zbl 0884.52017
Kellerhals, Ruth
14
1998
Volumes of cusped hyperbolic manifolds. Zbl 0909.57005
Kellerhals, Ruth
11
1998
Volumes in hyperbolic 5-space. Zbl 0834.51008
Kellerhals, R.
11
1995
Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds. Zbl 0874.52002
Kellerhals, Ruth
7
1995
Shape and size through hyperbolic eyes. Zbl 0849.51009
Kellerhals, Ruth
4
1995
On volumes of non-Euclidean polytopes. Zbl 0810.52008
Kellerhals, Ruth
1
1994
On the volumes of hyperbolic 5-orthoschemes and the trilogarithm. Zbl 0771.51011
Kellerhals, Ruth
15
1992
Structural properties of polylogarithms. Zbl 0745.33009
65
1991
On Schläfli’s reduction formula. Zbl 0717.52011
Kellerhals, Ruth
13
1991
On the volume of hyperbolic polyhedra. Zbl 0664.51012
Kellerhals, Ruth
59
1989
all top 5

Cited by 160 Authors

22 Kellerhals, Ruth
21 Szirmai, Jenó
7 Kolpakov, Alexander A.
6 Mednykh, Aleksandr Dmitrievich
6 Tschantz, Steven Thomas
5 Parkkonen, Jouni
5 Paulin, Frédéric
5 Ratcliffe, John G.
4 Felikson, Anna Aleksandrovna
4 Jacquemet, Matthieu
4 Kozma, Robert Thijs
4 Riolo, Stefano
4 Tumarkin, Pavel
4 Vesnin, Andrei Yu.
3 Abrosimov, Nikolaĭ Vladimirovich
3 Bredon, Naomi
3 Emery, Vincent
3 Gongopadhyay, Krishnendu
3 Merlin, Vincent R.
3 Molnár, Emil
3 Reid, Alan W.
3 Zehrt, Thomas
2 Belolipetsky, Mikhail V.
2 Conder, Marston Donald Edward
2 Dotti, Edoardo
2 Drewitz, Simon T.
2 Duhr, Claude
2 Everitt, Brent
2 Gangl, Herbert
2 Guglielmetti, Rafael
2 Horváth, Ákos G.
2 Johnson, Norman Woodason
2 Komori, Yohei
2 Lafont, Jean-François
2 Miller, Nicholas
2 Mukherjee, Abhishek
2 Murakami, Jun
2 Nicolai, Hermann
2 Parker, John R.
2 Petronio, Carlo
2 Romakina, Lyudmila Nikolaevna
2 Talambutsa, Alexey L.
2 Umemoto, Yuriko
2 Vergu, Cristian
2 Yukita, Tomoshige
1 Adams, Colin C.
1 Adeboye, Ilesanmi
1 Albuquerque, Rui P.
1 Allcock, Daniel Jonathan
1 Arenas-Carmona, Luis
1 Atkinson, Christopher K.
1 Baker, Mark D.
1 Battista, Ludovico
1 Bhattacharya, Abhijit
1 Bourjaily, Jacob L.
1 Bridgeman, Martin J.
1 Bucher, Michelle
1 Burcroff, Amanda
1 Calderon, Aaron
1 Chapovalov, Maxim
1 Charlton, Steven
1 Chen, Hao
1 Cho, Yunhi
1 Ciesielska, Danuta
1 Ciesielski, Krzysztof
1 Czajkowski, Jan
1 Davydychev, Andrei I.
1 Deblois, Jason
1 Derevnin, D. A.
1 Diss, Mostapha
1 Dostert, Maria
1 Dubey, Kamlesh Kumar
1 Edmonds, Allan L.
1 El Naschie, Mohamed Saladin
1 Eper, Miklós
1 Erlandsson, Viveka
1 Feingold, Alex Jay
1 Fisher, David Michael
1 Fleig, Philipp
1 Fominykh, Evgeny Anatol’evich
1 Fujii, Michihiko
1 Gardi, Einan
1 Gekhtman, Ilya
1 Gendulphe, Matthieu
1 Gibbons, Gary William
1 Godoy Molina, Mauricio
1 Gon, Yasuro
1 Goncharov, Alexander Borisovich
1 Heckman, Gert
1 Hild, Thierry
1 Hockman, Meira
1 Howlett, Robert B.
1 Kader, Serkan
1 Kaiser, Mark J.
1 Kalelkar, Tejas
1 Kato, Fumiharu
1 Kim, Hyuk
1 Kim, Sungwoon
1 Kleinschmidt, Axel
1 Koch, Sophie
...and 60 more Authors
all top 5

Cited in 91 Serials

12 Geometriae Dedicata
9 Algebraic & Geometric Topology
6 European Journal of Combinatorics
5 Proceedings of the American Mathematical Society
5 Discrete & Computational Geometry
5 Aequationes Mathematicae
4 Israel Journal of Mathematics
4 Siberian Mathematical Journal
4 Transactions of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
3 Bulletin of the London Mathematical Society
3 Canadian Mathematical Bulletin
3 Transformation Groups
3 Journal of High Energy Physics
2 Discrete Mathematics
2 Mathematical Notes
2 The Mathematical Intelligencer
2 Advances in Mathematics
2 Journal of Algebra
2 Matematički Vesnik
2 Mathematische Annalen
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Acta Mathematica Hungarica
2 Journal of the American Mathematical Society
2 Linear Algebra and its Applications
2 Indagationes Mathematicae. New Series
2 Geometry & Topology
2 Advances in Geometry
2 Computational Methods and Function Theory
2 Proceedings of the Steklov Institute of Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Beiträge zur Algebra und Geometrie
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Economics
1 Journal of Number Theory
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Theory and Decision
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 Mathematical Social Sciences
1 Annals of Global Analysis and Geometry
1 Journal of Theoretical Probability
1 Forum Mathematicum
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Filomat
1 The Electronic Journal of Combinatorics
1 Doklady Mathematics
1 Conformal Geometry and Dynamics
1 Novi Sad Journal of Mathematics
1 Journal for Geometry and Graphics
1 Matematicheskie Trudy
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Number Theory
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Contributions to Discrete Mathematics
1 Groups, Geometry, and Dynamics
1 Ars Mathematica Contemporanea
1 Acta Universitatis Sapientiae. Mathematica
1 Mathematics
1 Transactions of the American Mathematical Society. Series B
all top 5

Cited in 36 Fields

60 Geometry (51-XX)
55 Convex and discrete geometry (52-XX)
54 Group theory and generalizations (20-XX)
46 Manifolds and cell complexes (57-XX)
27 Number theory (11-XX)
19 Topological groups, Lie groups (22-XX)
15 Differential geometry (53-XX)
5 Combinatorics (05-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Quantum theory (81-XX)
3 Algebraic geometry (14-XX)
3 Nonassociative rings and algebras (17-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 \(K\)-theory (19-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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