Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language
Mathematical Software
2017-05-18 v1 Symbolic Computation
Abstract
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort to a low-level C implementation. For specialised algorithms, we use Julia's efficient native C interface to wrap existing C/C++ libraries such as Flint, Arb, Antic and Singular. We give examples of how to use Hecke and Nemo and discuss some algorithms that we have implemented to provide high performance basic arithmetic.
Keywords
Cite
@article{arxiv.1705.06134,
title = {Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language},
author = {Claus Fieker and William Hart and Tommy Hofmann and Fredrik Johansson},
journal= {arXiv preprint arXiv:1705.06134},
year = {2017}
}
Comments
ISSAC '17, Kaiserslautern, Germany, July 25-28, 2017, 8 pages