GL(n)pack swMATH ID: 13116 Software Authors: Kevin Broughan Description: Automorphic forms and L-functions for the group GL(n,ℝ). With an appendix by Kevin A. Broughan. Each chapter of the book concludes with a list of relevant computer programs from GL(n)pack, a Mathematica add-on package developed by Kevin Broughan. The book includes a substantial appendix by him which is a manual for this package. For example, the package allows one to find the Iwasawa decomposition of a given non-singular n×n real matrix, to find generalized Casimir operators, and to compute generalized Kloosterman sums associated to GL(n). Homepage: http://www.math.waikato.ac.nz/~kab/glnpack.html Dependencies: Mathematica Related Software: LMFDB; Mathematica; SageMath; ecdata Cited in: 114 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year An algorithm for the explicit evaluation of \(\operatorname{GL}(n,\mathbb{R})\) Kloosterman sums. Zbl 1322.68272Broughan, Kevin A. 2009 Automorphic forms and \(L\)-functions for the group \(\text{GL}(n,\mathbb R)\). With an appendix by Kevin A. Broughan. Zbl 1108.11039Goldfeld, Dorian 2006 all top 5 Cited by 129 Authors 9 Blomer, Valentin 7 Lu, Guangshi 5 Hulse, Thomas A. 5 Jiang, Yujiao 5 Kuan, Chan Ieong 5 Lowry-Duda, David 4 Huang, Bingrong 3 Broughan, Kevin A. 3 Buttcane, Jack 3 Goldfeld, Dorian Morris 3 Hou, Fei 3 Munshi, Ritabrata 3 Sawin, William F. 3 Zhang, Deyu 2 Harcos, Gergely 2 Huang, Jing 2 Khan, Rizwanur 2 Kim, Jiseong 2 Kowalski, Emmanuel 2 Li, Xiaoqing 2 Lin, Yongxiao 2 Liu, Huafeng 2 Maga, Péter 2 Michel, Philippe Gabriel 2 Muić, Goran 2 Sun, Qingfeng 2 Wang, Yingnan 2 Xi, Ping 2 Xu, Zhao 2 Yan, Xiaofei 2 Yang, Enlin 2 Young, Matthew P. 2 Zhou, Fan 2 Zygouras, Nikolaos 1 Acharya, Ratnadeep 1 Baier, Stephan 1 Bekki, Hohto 1 Belin, Alexandre 1 Bllaca, Kajtaz H. 1 Brubaker, Ben 1 Brumley, Farrell 1 Buciumas, Valentin 1 Bump, Daniel 1 Chamizo Lorente, Fernando 1 Chanana, Himanshi 1 Chandee, Vorrapan 1 Chatzakos, Dimitrios 1 Chen, Guohua 1 Corbett, Andrew J. 1 Cowan, Alex 1 Czarnecki, Kyle 1 de Azevedo Pribitkin, Wladimir 1 de Boer, Jan 1 Decelles, Amy T. 1 Diamantis, Nikolaos 1 Dixit, Atul 1 Djanković, Goran 1 Dong, Lingling 1 Elliott, Peter D. T. A. 1 Ernvall-Hytönen, Anne-Maria 1 Folsom, Amanda L. 1 Friedberg, Solomon 1 Gerasimov, Anton A. 1 Gori, Anna 1 He, Xiaoguang 1 Holowinsky, Roman 1 Jääsaari, Jesse 1 Jana, Subhajit 1 Jorgenson, Jay Alan 1 Kıral, Eren Mehmet 1 Kleinschmidt, Axel 1 Kontorovich, Alex V. 1 Krantz, Steven George 1 Kruthoff, Jorrit 1 Kühn, Patrick 1 Lau, Yuk-Kam 1 Lebedev, Dmitrii R. 1 Lee, Eun Hye 1 Lee, Min 1 Li, Xiannan 1 Lin, Bingchen 1 Liu, Sheng-Chi 1 Liu, Shenhui 1 Lu, Qing 1 Lynker, Monika 1 Matz, Jasmin 1 Michel, Ben 1 Miyazaki, Tadashi 1 Nakasuji, Maki 1 Nelson, Paul D. 1 Ng, Ming-Ho 1 Nicolai, Hermann 1 Nicole, Marc-Hubert 1 Oblezin, Sergey V. 1 O’Connell, Neil 1 O’Sullivan, Cormac 1 Palmkvist, Jakob 1 Pi, Qinghua 1 Raboso, Dulcinea 1 Ren, Xiumin ...and 29 more Authors all top 5 Cited in 49 Serials 27 Journal of Number Theory 6 The Ramanujan Journal 5 Advances in Mathematics 5 International Journal of Number Theory 4 Acta Arithmetica 4 Mathematische Annalen 4 Forum Mathematicum 3 Israel Journal of Mathematics 3 Inventiones Mathematicae 3 Frontiers of Mathematics in China 3 Forum of Mathematics, Sigma 2 Communications in Mathematical Physics 2 American Journal of Mathematics 2 Monatshefte für Mathematik 2 Acta Mathematica Hungarica 2 Geometric and Functional Analysis. GAFA 2 Journal of the European Mathematical Society (JEMS) 2 Science China. Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Turkish Journal of Mathematics 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Journal of High Energy Physics 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Cosmology and Astroparticle Physics 1 Cambridge Studies in Advanced Mathematics 1 Algebra & Number Theory 1 ACM Communications in Computer Algebra 1 Probability Surveys 1 Open Mathematics all top 5 Cited in 20 Fields 107 Number theory (11-XX) 10 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Group theory and generalizations (20-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year