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.. _credits:
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Credits and references
===============================================================================
Arb is licensed GNU General Public License version 2, or any later version.
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Fredrik Johansson is the main author. The project was started in 2012
as a numerical extension of FLINT, and the initial design was heavily based
on FLINT 2.0 (with particular credit to Bill Hart and Sebastian Pancratz).
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From 2012 to July 2014, Fredrik's work on Arb was supported by
Austrian Science Fund FWF Grant Y464-N18 (Fast Computer Algebra
for Special Functions).
During that period, he was a PhD student (and briefly a postdoc) at
RISC, Johannes Kepler University, Linz, supervised by Manuel Kauers.
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From September 2014 to October 2015, Fredrik was a postdoc in the LFANT
project-team at INRIA Bordeaux and Institut de Mathématiques de Bordeaux,
headed by Andreas Enge. During that period, Fredrik's work on Arb was supported
by ERC Starting Grant ANTICS 278537 (Algorithmic Number Theory in
Computer Science) http://cordis.europa.eu/project/rcn/101288_en.html
Since October 2015, Fredrik is a CR2 researcher in the LFANT team,
funded by INRIA.
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Contributors
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Several people have contributed patches, bug reports, or substantial feedback.
This list is probably incomplete.
* Bill Hart - build system, Windows 64 support, design of FLINT
* Sebastian Pancratz - divide-and-conquer polynomial composition algorithm (taken from FLINT)
* The MPFR development team - Arb includes two-limb multiplication code taken from MPFR
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* Jonathan Bober - Dirichlet characters (the code in Arb is based on his Cython implementation), C++ compatibility fixes
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* Yuri Matiyasevich - feedback about the zeta function and root-finding code
* Abhinav Baid - dot product and norm functions
* Ondřej Čertík - bug reports, feedback
* Andrew Booker - bug reports, feedback
* Francesco Biscani - C++ compatibility fixes, feedback
* Clemens Heuberger - work on Arb interface in Sage, feedback
* Marc Mezzarobba - work on Arb interface in Sage, bug reports, feedback
* Pascal Molin - feedback
* Ricky Farr - convenience functions, feedback
* Marcello Seri - fix for static builds on OS X
* Tommy Hofmann - matrix transpose, comparison, other utility methods, Julia interface
* Alexander Kobel - documentation and code cleanup patches
* Hrvoje Abraham - patches for MinGW compatibility
* Julien Puydt - soname versioning support
* Alex Griffing - sinc function, matrix trace, improved matrix squaring, miscellaneous patches
* Jeroen Demeyer - patch for major bug on PPC64
Software
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-------------------------------------------------------------------------------
The following software has been helpful in the development of Arb.
* GMP (Torbjörn Granlund and others), http://gmplib.org
* MPIR (Brian Gladman, Jason Moxham, William Hart and others), http://mpir.org
* MPFR (Guillaume Hanrot, Vincent Lefèvre, Patrick Pélissier, Philippe Théveny, Paul Zimmermann and others), http://mpfr.org
* FLINT (William Hart, Sebastian Pancratz, Andy Novocin, Fredrik Johansson, David Harvey and others), http://flintlib.org
* Sage (William Stein and others), http://sagemath.org
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* Pari/GP (The Pari group), http://pari.math.u-bordeaux.fr/
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* SymPy (Ondřej Čertík, Aaron Meurer and others), http://sympy.org
* mpmath (Fredrik Johansson and others), http://mpmath.org
* Mathematica (Wolfram Research), http://www.wolfram.com/mathematica
* HolonomicFunctions (Christoph Koutschan), http://www.risc.jku.at/research/combinat/software/HolonomicFunctions/
* Sphinx (George Brandl and others), http://sphinx.pocoo.org
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* CM (Andreas Enge), http://www.multiprecision.org/index.php?prog=cm
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Citing Arb
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If you wish to cite Arb in a scientific paper, the following reference can be used (you may also cite the manual or the website directly):
\F. Johansson. "Arb: a C library for ball arithmetic", *ACM Communications in Computer Algebra* , 47(4):166-169, 2013.
In BibTeX format::
@article{Johansson2013arb,
title={{A}rb: a {C} library for ball arithmetic},
author={F. Johansson},
journal={ACM Communications in Computer Algebra},
volume={47},
number={4},
pages={166--169},
year={2013},
publisher={ACM}
}
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