Edit Profile (opens in new tab) Gangl, Herbert Co-Author Distance Author ID: gangl.herbert Published as: Gangl, Herbert; Gangl, H. Documents Indexed: 29 Publications since 1995, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 27 Co-Authors with 24 Joint Publications 688 Co-Co-Authors all top 5 Co-Authors 7 single-authored 4 Elbaz-Vincent, Philippe 3 Browkin, Jerzy 3 Charlton, Steven 3 Yasaki, Dan 2 Belabas, Karim 2 Burns, David John 2 de Jeu, Rob 2 Duhr, Claude 2 Dutour-Sikiric, Mathieu 2 Goncharov, Alexander Borisovich 2 Gunnells, Paul E. 2 Hanke, Jonathan P. 2 Levin, Andrey M. 2 Radchenko, Danylo V. 2 Schürmann, Achill 2 Soulé, Christophe 2 Zagier, Don Bernard 1 Burgos Gil, José Ignacio 1 Carr, Sarah 1 Ebrahimi-Fard, Kurusch 1 Kaneko, Masanobu 1 Karaali, Gizem 1 Kontsevich, Maxim Lvovich 1 Lee, Woohyung 1 Müller-Stach, Stefan J. 1 Rahm, Alexander Daniel 1 Rhodes, John R. 1 Schneps, Leila all top 5 Serials 2 Mathematics of Computation 2 Advances in Mathematics 2 Communications in Number Theory and Physics 1 Compositio Mathematica 1 Journal of Pure and Applied Algebra 1 \(K\)-Theory 1 Selecta Mathematica. New Series 1 Journal of High Energy Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Bonner Mathematische Schriften 1 Journal of Homotopy and Related Structures 1 Involve 1 Journal of \(K\)-Theory 1 Forum of Mathematics, Sigma 1 Springer Proceedings in Mathematics & Statistics all top 5 Fields 28 Number theory (11-XX) 14 \(K\)-theory (19-XX) 8 Special functions (33-XX) 7 Algebraic geometry (14-XX) 6 Difference and functional equations (39-XX) 5 Group theory and generalizations (20-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 290 times in 248 Documents Cited by ▼ Year ▼ Double zeta values and modular forms. Zbl 1122.11057Gangl, Herbert; Kaneko, Masanobu; Zagier, Don 71 2006 From polygons and symbols to polylogarithmic functions. Zbl 1397.81355Duhr, Claude; Gangl, Herbert; Rhodes, John R. 64 2012 Classical and elliptic polylogarithms and special values of \(L\)-series. Zbl 0990.11041Zagier, Don; Gangl, Herbert 24 2000 Tame and wild kernels of quadratic imaginary number fields. Zbl 0919.11079Browkin, Jerzy; Gangl, Herbert 22 1999 On poly(ana)logs. I. (With an appendix by Maxim Kontsevich: The \(1\frac{1}{2}\)-logarithm). Zbl 1062.11042Elbaz-Vincent, Philippe; Gangl, Herbert 17 2002 Perfect forms, \(K\)-theory and the cohomology of modular groups. Zbl 1290.11104Elbaz-Vincent, Philippe; Gangl, Herbert; Soulé, Christophe 16 2013 Generators and relations for \(K_{2}O_{F}\). Zbl 1090.11074Belabas, Karim; Gangl, Herbert 13 2004 On the cohomology of linear groups over imaginary quadratic fields. Zbl 1408.11051Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan 12 2016 Some computations of the cohomology of \(\text{GL}_N(\mathbb{Z})\) and the \(K\)-theory of \(\mathbb{Z}\). (Quelques calculs de la cohomologie de \(\text{GL}_N(\mathbb{Z})\) et de la \(K\)-théorie de \(\mathbb{Z}\).) Zbl 1018.20039Elbaz-Vincent, Philippe; Gangl, Herbert; Soulé, Christophe 10 2002 Computing the tame kernel of quadratic imaginary fields (with an appendix by Karim Belabas and Herbert Gangl). Zbl 0954.19002Browkin, Jerzy 7 2000 Functional equations for higher logarithms. Zbl 1034.33001Gangl, Herbert 5 2003 Tame kernels and second regulators of number fields and their subfields. Zbl 1286.11199Browkin, Jerzy; Gangl, Herbert 4 2013 Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095Gangl, H.; Goncharov, A. B.; Levin, A. 4 2009 On functional equations for Nielsen polylogarithms. Zbl 1471.11205Charlton, Steven; Gangl, Herbert; Radchenko, Danylo 4 2021 Families of functional equations for polylogarithms. Zbl 0863.11083Gangl, Herbert 3 1996 On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. Zbl 1259.11109Burns, David; de Jeu, Rob; Gangl, Herbert 3 2012 Polylogarithmic identities in cubical higher Chow groups. Zbl 0966.14003Gangl, Herbert; Müller-Stach, Stefan 3 1999 On the Broadhurst-Kreimer generating series for multiple zeta values. Zbl 1382.11065Carr, Sarah; Gangl, Herbert; Schneps, Leila 3 2015 Some computations in weight 4 motivic complexes. Zbl 1082.11501Gangl, Herbert 3 2000 On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers. Zbl 1412.19003Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan 2 2019 Algebraic cycles for multiple polylogarithms. Zbl 1210.11075Gangl, H. 1 2004 Functional equations of polylogarithms. (Funktionalgleichungen von Polylogarithmen.) Zbl 0849.11088Gangl, Herbert 1 1995 Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094Gangl, H.; Goncharov, A. B.; Levin, A. 1 2007 Regulators via iterated integrals (numerical computations). Zbl 1233.11077Gangl, Herbert 1 2010 Hyperbolic tessellations and generators of \(K_3\) for imaginary quadratic fields. Zbl 1473.19003Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan 1 2021 Clean single-valued polylogarithms. Zbl 1477.11121Charlton, Steven; Duhr, Claude; Gangl, Herbert 1 2021 Homophonic quotients of linguistic free groups: German, Korean, and Turkish. Zbl 1409.91209Gangl, Herbert; Karaali, Gizem; Lee, Woohyung 1 2019 On functional equations for Nielsen polylogarithms. Zbl 1471.11205Charlton, Steven; Gangl, Herbert; Radchenko, Danylo 4 2021 Hyperbolic tessellations and generators of \(K_3\) for imaginary quadratic fields. Zbl 1473.19003Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan 1 2021 Clean single-valued polylogarithms. Zbl 1477.11121Charlton, Steven; Duhr, Claude; Gangl, Herbert 1 2021 On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers. Zbl 1412.19003Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan 2 2019 Homophonic quotients of linguistic free groups: German, Korean, and Turkish. Zbl 1409.91209Gangl, Herbert; Karaali, Gizem; Lee, Woohyung 1 2019 On the cohomology of linear groups over imaginary quadratic fields. Zbl 1408.11051Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan 12 2016 On the Broadhurst-Kreimer generating series for multiple zeta values. Zbl 1382.11065Carr, Sarah; Gangl, Herbert; Schneps, Leila 3 2015 Perfect forms, \(K\)-theory and the cohomology of modular groups. Zbl 1290.11104Elbaz-Vincent, Philippe; Gangl, Herbert; Soulé, Christophe 16 2013 Tame kernels and second regulators of number fields and their subfields. Zbl 1286.11199Browkin, Jerzy; Gangl, Herbert 4 2013 From polygons and symbols to polylogarithmic functions. Zbl 1397.81355Duhr, Claude; Gangl, Herbert; Rhodes, John R. 64 2012 On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture. Zbl 1259.11109Burns, David; de Jeu, Rob; Gangl, Herbert 3 2012 Regulators via iterated integrals (numerical computations). Zbl 1233.11077Gangl, Herbert 1 2010 Multiple polylogarithms, polygons, trees and algebraic cycles. Zbl 1196.11095Gangl, H.; Goncharov, A. B.; Levin, A. 4 2009 Multiple logarithms, algebraic cycles and trees. Zbl 1196.11094Gangl, H.; Goncharov, A. B.; Levin, A. 1 2007 Double zeta values and modular forms. Zbl 1122.11057Gangl, Herbert; Kaneko, Masanobu; Zagier, Don 71 2006 Generators and relations for \(K_{2}O_{F}\). Zbl 1090.11074Belabas, Karim; Gangl, Herbert 13 2004 Algebraic cycles for multiple polylogarithms. Zbl 1210.11075Gangl, H. 1 2004 Functional equations for higher logarithms. Zbl 1034.33001Gangl, Herbert 5 2003 On poly(ana)logs. I. (With an appendix by Maxim Kontsevich: The \(1\frac{1}{2}\)-logarithm). Zbl 1062.11042Elbaz-Vincent, Philippe; Gangl, Herbert 17 2002 Some computations of the cohomology of \(\text{GL}_N(\mathbb{Z})\) and the \(K\)-theory of \(\mathbb{Z}\). (Quelques calculs de la cohomologie de \(\text{GL}_N(\mathbb{Z})\) et de la \(K\)-théorie de \(\mathbb{Z}\).) Zbl 1018.20039Elbaz-Vincent, Philippe; Gangl, Herbert; Soulé, Christophe 10 2002 Classical and elliptic polylogarithms and special values of \(L\)-series. Zbl 0990.11041Zagier, Don; Gangl, Herbert 24 2000 Computing the tame kernel of quadratic imaginary fields (with an appendix by Karim Belabas and Herbert Gangl). Zbl 0954.19002Browkin, Jerzy 7 2000 Some computations in weight 4 motivic complexes. Zbl 1082.11501Gangl, Herbert 3 2000 Tame and wild kernels of quadratic imaginary number fields. Zbl 0919.11079Browkin, Jerzy; Gangl, Herbert 22 1999 Polylogarithmic identities in cubical higher Chow groups. Zbl 0966.14003Gangl, Herbert; Müller-Stach, Stefan 3 1999 Families of functional equations for polylogarithms. Zbl 0863.11083Gangl, Herbert 3 1996 Functional equations of polylogarithms. (Funktionalgleichungen von Polylogarithmen.) Zbl 0849.11088Gangl, Herbert 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 284 Authors 9 Duhr, Claude 9 Gangl, Herbert 9 McLeod, Andrew J. 8 Brown, Francis C. S. 7 Bachmann, Henrik 7 Henn, Johannes M. 7 Tasaka, Koji 7 Yasaki, Dan 7 Zhao, Jianqiang 6 Chicherin, Dmitry 6 Dixon, Lance J. 6 Gunnells, Paul E. 6 Li, Zhenjie 6 Schlotterer, Oliver 6 Yang, Qinglin 5 He, Song 5 Qin, Hourong 5 Tancredi, Lorenzo 5 von Hippel, Matt 5 Xu, Kejian 4 Ash, Avner 4 Bourjaily, Jacob L. 4 Brödel, Johannes 4 Dutour-Sikiric, Mathieu 4 Guo, Xuejun 4 Schürmann, Achill 4 Shen, Zhongyan 4 Wilhelm, Matthias 4 Yuan, Haiping 3 Abreu, Samuel 3 Caron-Huot, Simon 3 de Jeu, Rob 3 Dulat, Falko 3 Gehrmann, Thomas 3 Guo, Li 3 Herrmann, Enrico 3 Kleinschmidt, Axel 3 Lalín, Matilde Noemí 3 Li, Zhong-Hua 3 Ma, Ding 3 Machide, Tomoya 3 Mattarei, Sandro 3 McConnell, Mark 3 Page, Ben 3 Papathanasiou, Georgios 3 Rahm, Alexander Daniel 3 Sakugawa, Kenji 3 Sun, Chaochao 3 Tsumura, Hirofumi 3 Ünver, Sinan 3 Vergu, Cristian 3 Volk, Matthias 3 Xu, Ce 3 Zhang, Long 3 Zhang, Yang 3 Zhou, Haiyan 3 Zoia, Simone 2 Belabas, Karim 2 Bogner, Christian 2 Browkin, Jerzy 2 Bui, Anh Tuan 2 Burns, David John 2 Cai, Tianxin 2 Cathelineau, Jean-Louis 2 Chen, Kwang-Wu 2 Chen, Sheng 2 Chung, Chan-Liang 2 Del Duca, Vittorio 2 Ding, Shifeng 2 Dupont, Clément 2 Ecalle, Jean P. 2 Eie, Minking 2 Emery, Vincent 2 Gardi, Einan 2 Gerken, Jan E. 2 Hanke, Jonathan P. 2 Harada, Ryotaro 2 Harley, Mark 2 Ita, Harald 2 Jaulent, Jean-François 2 Kaderli, André 2 Kaneko, Masanobu 2 Katsurada, Masanori 2 Kupers, Alexander 2 Lahtinen, Anssi 2 Li, Jiangtao 2 Liu, Weijun 2 Lo Presti, N. A. 2 Matthes, Nils 2 Miller, Jeremy A. 2 Moriello, Francesco 2 Movahhedi, Abbas 2 Nguyen Quang Do, Thong 2 Ono, Masataka 2 Parra-Martinez, Julio 2 Patzt, Peter 2 Pauli, Sebastian 2 Penante, Brenda 2 Pohst, Michael E. 2 Qin, Chen ...and 184 more Authors all top 5 Cited in 72 Serials 58 Journal of High Energy Physics 31 Journal of Number Theory 10 The Ramanujan Journal 7 Mathematische Annalen 6 Advances in Mathematics 6 Journal of Algebra 6 Journal of Pure and Applied Algebra 6 International Journal of Number Theory 5 Journal de Théorie des Nombres de Bordeaux 4 Communications in Algebra 4 Research in the Mathematical Sciences 3 Computer Physics Communications 3 Journal of Mathematical Analysis and Applications 3 Nuclear Physics. B 3 Mathematics of Computation 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Forum of Mathematics, Sigma 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Compositio Mathematica 2 Proceedings of the Japan Academy. Series A 2 Journal of Symbolic Computation 2 Acta Mathematica Sinica. English Series 2 Journal of Homotopy and Related Structures 2 Journal of \(K\)-Theory 2 AIMS Mathematics 2 Tunisian Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Physics Reports 1 The Mathematical Intelligencer 1 Fortschritte der Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Tsukuba Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Annales Mathématiques Blaise Pascal 1 Kyushu Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematics 1 European Journal of Mathematics all top 5 Cited in 31 Fields 165 Number theory (11-XX) 72 Quantum theory (81-XX) 41 \(K\)-theory (19-XX) 25 Algebraic geometry (14-XX) 24 Special functions (33-XX) 15 Group theory and generalizations (20-XX) 14 Combinatorics (05-XX) 14 Relativity and gravitational theory (83-XX) 11 Associative rings and algebras (16-XX) 10 Mechanics of particles and systems (70-XX) 5 Commutative algebra (13-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year