SIMATH - a computer algebra system for number theoretic applications. This paper surveys the functionalities of the computer algebra system SIMATH, developed by H. G. Zimmer and his research group at the Universität des Saarlandes, Saarbrücken (Germany). The SIMATH system is primarily intended to solve number-theoretic problems, with a special emphasis on elliptic curves and cryptography. SIMATH is a set of C libraries. It is open source and runs on a large variety of UNIX systems. SIMATH comes with a shell SM and is equipped with an interactive calculator simcalc. More information as well as the complete system can be found online at URL simath/.

References in zbMATH (referenced in 30 articles , 1 standard article )

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  1. Tanaka, Satoru; Ogura, Naoki; Nakamula, Ken; Matsui, Tetsushi; Uchiyama, Shigenori: NZMATH 1.0 (2010)
  2. Mukhopadhyay, A.; Shorey, T.N.: Square free part of products of consecutive integers (2004)
  3. Conrad, Marc; Replogle, Daniel R.: Nontrivial Galois module structure of cyclotomic fields (2003)
  4. Mukhopadhyay, Anirban; Shorey, T.N.: Almost squares in arithmetic progression. II (2003)
  5. Schmitt, Susanne; Zimmer, Horst G.: Elliptic curves. A computational approach. With an appendix by Attila Pethö (2003)
  6. Cohen, Arjeh M. (ed.); Gao, Xiao-Shan (ed.); Takayama, Nobuki (ed.): Mathematical software. Proceedings of the 1st international congress, Beijing, China, August 17--19, 2002 (2002)
  7. Matsui, T.; Kobayashi, D.; Abe, M.; Nakamula, K.: SIMATH -- recent developments in TMU. (2002)
  8. Terai, Nobuhiro: On the Diophantine equations $\binom n2=cx^l$ and $\binom n3=cx^l$. (2002)
  9. Herrmann, Emanuel; Pethö, Attila: $S$-integral points on elliptic curves -- notes on a paper of B. M. M. de Weger. (2001)
  10. Kida, Masanari: Good reduction of elliptic curves over imaginary quadratic fields (2001)
  11. Conrad, Marc: On explicit relations between cyclotomic numbers (2000)
  12. Hajdu, L.; Pintér, Á.: Combinatorial diophantine equations (2000)
  13. Nitaj, Abderrahmane: Invariants of Frey-Hellegouarch curves and large Tate-Shafarevich groups (2000)
  14. Cremona, J.E.; Serf, P.: Computing the rank of elliptic curves over real quadratic number fields of class number 1 (1999)
  15. Pohst, Michael E.: From class groups to class fields (1999)
  16. Teske, Edlyn; Williams, Hugh C.: A problem concerning a character sum (1999)
  17. Hajdu, L.: On a diophantine equation concerning the number of integer points in special domains (1998)
  18. Zimmer, Horst G.: Basic algorithms for elliptic curves. (1998)
  19. Bremner, A.; Stroeker, R.J.; Tzanakis, N.: On sums of consecutive squares (1997)
  20. Gebel, J.; Pethö, A.; Zimmer, H.G.: Computing integral points on Mordell’s elliptic curves (1997)

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