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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; AClib; SCSCP; NZMATH; GiANT; MuPAD; Matlab; Mathematica; KANTOO; ALNUTH; Polenta
Referenced in: 155 Publications
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
all top 5

Referenced by 151 Authors

32 Pohst, Michael E.
18 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 Baker, Kathryn
2 Ballet, Stéphane
2 Belabas, Karim
2 Bley, Werner
2 Bruin, Nils
2 Buchmann, Johannes A.
2 Diaz y Diaz, Francisco
2 Freundt, Sebastian
2 Hachimori, Yoshitaka
2 Heuberger, Clemens
2 Karve, Aneesh
2 Louboutin, Stéphane R.
2 Matthews, Gretchen L.
2 Narkiewicz, Władysław
2 Park, Sun-Mi
2 Pieltant, Julia
2 Pineda Ruelas, Mario
2 Roblot, Xavier-François
2 Smart, Nigel P.
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
1 Ko, Jeongwoo
1 Konovalov, Olexandr
1 Krahmann, Anita
1 Le, Maohua
1 Leedham-Green, Charles R.
1 Lemmermeyer, Franz Josef
...and 51 more Authors

Referencing Publications by Year