KANT

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.

This software is also referenced in ORMS.


References in zbMATH (referenced in 126 articles , 1 standard article )

Showing results 1 to 20 of 126.
Sorted by year (citations)

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  1. Gaál, István; Petrányi, Gábor: Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields. (2014)
  2. Maier, P.; Stewart, R.; Trinder, P.W.: Reliable scalable symbolic computation: the design of SymGridPar2 (2014)
  3. Aguilar-Zavoznik, Alejandro; Pineda-Ruelas, Mario: A relation between ideals, Diophantine equations and factorization in quadratic fields $F$ with $h_F=2$ (2012)
  4. Szekrényesi, Gergő: Parallel algorithm for determining the “small solutions” of Thue equations (2012)
  5. Aguilar-Zavoznik, Alejandro; Pineda-Ruelas, Mario: 2-class group of quadratic fields (2011)
  6. Ballet, Stéphane; Pieltant, Julia: On the tensor rank of multiplication in any extension of $\Bbb F_2$ (2011)
  7. Gaál, István; Pohst, Michael: Solving explicitly $F(x,y)=G(x,y)$ over function fields (2011)
  8. Cannon, John; Donnelly, Steve; Fieker, Claus; Watkins, Mark: Magma -- a tool for number theory (2010)
  9. Gaál, István; Pohst, Michael: Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations (2010)
  10. Tanaka, Satoru; Ogura, Naoki; Nakamula, Ken; Matsui, Tetsushi; Uchiyama, Shigenori: NZMATH 1.0 (2010)
  11. Hajdu, Lajos: Optimal systems of fundamental $S$-units for LLL-reduction (2009)
  12. Horn, Peter; Roozemond, Dan: The SCIEnce EU program: Symbolic Computation Infrastructure for Europe (2009)
  13. Pohst, M.E.; Wagner, Marcus: On the computation of Hermite-Humbert constants: the algorithm of Cohn revisited (2009)
  14. Fieker, Claus; Pohst, Michael E.: A lower regulator bound for number fields (2008)
  15. Freundt, Sebastian; Horn, Peter; Konovalov, Alexander; Linton, Steve; Roozemond, Dan: Symbolic computation software composability (2008)
  16. Gaál, István; Pohst, Michael: Solving resultant form equations over number fields (2008)
  17. Gaál, István; Pohst, Michael: Diophantine equations over global function fields. III: An application to resultant form equations (2008)
  18. Hubbard, David: Dihedral side extensions and class groups (2008)
  19. Togbé, Alain: On the solutions of a parametric family of cubic Thue equations (2008)
  20. Park, Sun-Mi; Kwon, Soun-Hi: Class number one problem for normal CM-fields (2007)

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Further publications can be found at: http://page.math.tu-berlin.de/~kant/publications.html