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KANT/KASH

swMATH ID: 481
Software Authors: Anita Krahmann, Carolin Just, Claus Fieker, Florian Heß, Jose Mendez, Jürgen Klüners, Marcus Wagner, Michael Pohst, Oliver Voigt, Robert Fraatz, Sebastian Freundt, Sebastian Pauli;Former authors: Andreas Hoppe, Carsten Friedrichs, Georg Baier, Harald Bartel, Hartmut Bauer, Johannes Graf v. Schmettow, Katharina Geißler, Klaus Wildanger, Maike Henningsen, Mario Daberkow, Martin Schörnig, Max Jüntgen KANT group, Institut für Mathematik, Technische Universität Berlin
Description: KASH/KANT is a computer algebra system (CAS) for sophisticated computations in algebraic number fields and global function fields. It has been developed under the project leadership of Prof. Dr. M. Pohst at Technische Universität Berlin. KANT is a program library for computations in algebraic number fields, algebraic function fields and local fields. In the number field case, algebraic integers are considered to be elements of a specified order of an appropriate field F. The available algorithms provide the user with the means to compute many invariants of F. It is possible to solve tasks like calculating the solutions of Diophantine equations related to F. Furthermore subfields of F can be generated and F can be embedded into an overfield. The potential of moving elements between different fields (orders) is a significant feature of our system. In the function field case, for example, genus computations and the construction of Riemann-Roch spaces are available.
Homepage: http://www.math.tu-berlin.de/~kant/
Keywords: orms; computational algebraic number theory; subroutine library
Related Software: Magma; Maple; PARI/GP; GAP; SIMATH; SageMath; Polycyclic; ecdata; Macaulay2; TECC; Minkowskis_Theorem; Lean; Gaussian_Integers; mathlib; Metamath; Isabelle/HOL; AClib; MuPAD; SCSCP; NZMATH
Cited in: 159 Documents
This software is also referenced in ORMS.
Further Publications: http://page.math.tu-berlin.de/~kant/publications.html

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
KANT - a tool for computations in algebraic number fields. Zbl 0731.11070
Schmettow, J. Graf v.
1991
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Cited by 155 Authors

33 Pohst, Michael
19 Gaál, István
11 Klüners, Jürgen
9 Kwon, Soun-Hi
7 Fieker, Claus
5 Pauli, Sebastian
4 Chang, Ku-Young
4 Eick, Bettina
4 Kida, Masanari
4 Maharaj, Hiren
4 Togbé, Alain
4 Wildanger, Klaus
3 Acciaro, Vincenzo
3 Daberkow, Mario
3 de Weger, Benjamin M. M.
3 Graf von Schmettow, Johannes
3 Hess, Florian
3 Malle, Gunter
3 Mitamura, Teruko
3 Nyberg, Eric
3 Selmane, Schehrazad
2 Aguilar-Zavoznik, Alejandro
2 Ahn, Jeoung-Hwan
2 Baanen, Anne
2 Baker, Kathryn
2 Ballet, Stéphane
2 Belabas, Karim
2 Bley, Werner
2 Bruin, Nils
2 Buchmann, Johannes A.
2 Dahmen, Sander R.
2 Diaz y Diaz, Francisco
2 Freundt, Sebastian
2 Hachimori, Yoshitaka
2 Heuberger, Clemens
2 Karve, Aneesh
2 Leprévost, Franck
2 Louboutin, Stéphane R.
2 Matthews, Gretchen L.
2 Narayanan, Ashvni
2 Narkiewicz, Władysław
2 Nuccio Mortarino Majno di Capriglio, Filippo Alberto Edoardo
2 Park, Sun-Mi
2 Pieltant, Julia
2 Pineda Ruelas, Mario
2 Roblot, Xavier-François
2 Schöpp, Andreas M.
2 Smart, Nigel Paul
2 Svoboda, David
2 Takayama, Nobuki
2 Wagner, Marcus M.
2 Wakabayashi, Isao
2 Yamamura, Ken
2 Yang, Hee-Sun
1 Aguilera-Venegas, Gabriel
1 Allombert, Bill
1 Assmann, Björn
1 Atencia-Mc. Killop, Iván
1 Baake, Michael
1 Bennett, Michael A.
1 Bosma, Wieb
1 Boston, Nigel
1 Burns, David John
1 Bush, Michael R.
1 Cannon, John J.
1 Cohen, Arjeh Marcel
1 Cramer, Peter
1 Donnelly, Steve
1 Dorfer, Gerhard
1 Duggan, Michael A.
1 Elkies, Noam David
1 Everest, Graham Robert
1 Flynn, Eugene Victor
1 Galán-García, José Luis
1 Galán-García, María-Ángeles
1 Galbraith, Steven D.
1 Gao, Xiaoshan
1 Geissler, Katharina
1 Grimm, Uwe
1 Grundman, Helen G.
1 Győry, Kálmán
1 Hajdu, Lajos
1 Hajir, Farshid
1 Halbritter, Ulrich
1 Hanke, Timo
1 Henningsen, M.
1 Horn, Peter D.
1 Hubbard, David
1 Hulpke, Alexander Jörg
1 Iglesias, Andrés
1 Itoh, Tsuyoshi
1 Jadrijević, Borka
1 Járási, István
1 Jüntgen, Max
1 Jurk, Andreas
1 Kawakita, Motoko Qiu
1 Khodaiemehr, Hassan
1 Kiani, Dariush
1 Kim, Hyunkwang
1 Kim, Jungsoo
...and 55 more Authors
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Cited in 39 Serials

22 Mathematics of Computation
20 Journal of Number Theory
17 Journal of Symbolic Computation
12 Journal de Théorie des Nombres de Bordeaux
6 Experimental Mathematics
4 Journal of Algebra
4 Transactions of the American Mathematical Society
3 Acta Arithmetica
3 Functiones et Approximatio. Commentarii Mathematici
3 Tokyo Journal of Mathematics
3 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Glasgow Mathematical Journal
2 Journal of Pure and Applied Algebra
2 Proceedings of the American Mathematical Society
2 JP Journal of Algebra, Number Theory and Applications
1 Bulletin of the Australian Mathematical Society
1 Periodica Mathematica Hungarica
1 Zeitschrift für Kristallographie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Japanese Journal of Mathematics. New Series
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Journal of Complexity
1 Journal of Automated Reasoning
1 Glasnik Matematički. Serija III
1 Applicable Algebra in Engineering, Communication and Computing
1 Finite Fields and their Applications
1 The Ramanujan Journal
1 Bulletin of the Brazilian Mathematical Society. New Series
1 DMV Seminar
1 Lecture Notes in Computer Science
1 International Journal of Algebra
1 Advances in Mathematics of Communications
1 Annales Mathematicae et Informaticae

Citations by Year