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We present a package to perform partial fraction decompositions of multivariate rational functions.
A. Smirnov and F. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic , 1901.07808
1901
Earlier work this paper cites.
1904
Earlier work this paper cites.
J. Klappert and F. Lange, Reconstructing rational functions with FireFly , Comput. Phys. Commun. 247
1904
Earlier work this paper cites.
1905
Earlier work this paper cites.
1906
Earlier work this paper cites.
1908
Earlier work this paper cites.
H. Strubbe, Manual for Schoonschip: A CDC 6000 / 7000 program for symbolic evaluation of algebraic expressions (program made by M. Veltman) , Comput. Phys. Commun. 8
1974
Earlier work this paper cites.
R. Tarrach, Invariant Amplitudes for Virtual Compton Scattering Off Polarized Nucleons Free from Kinematical Singularities, Zeros and Constraints , Nuovo Cim. A 28
1975
Earlier work this paper cites.
E. K. Leĭnartas, Factorization of rational functions of several variables into partial fractions , Soviet Math. (Iz. VUZ) 22
1978
Cited alongside, same era.
M. Kreuzer and L. Robbiano, Computational commutative algebra. 1 . Springer, Berlin, Heidelberg, 2000, 10.1007/978-3-540-70628-1
2000
Cited alongside, same era.
A. Smirnov and V. Smirnov, How to choose master integrals , Nucl. Phys. B 960
2002
Cited alongside, same era.
J. Usovitsch, Factorization of denominators in integration-by-parts reductions , 2002.08173
2002
Cited alongside, same era.
J. Boehm, M. Wittmann, Z. Wu, Y. Xu and Y. Zhang, IBP reduction coefficients made simple , JHEP 12
2008
2012
Later among the works it cites.
D. A. Cox, J. Little and D. O’Shea, Ideals, Varieties, and Algorithms . Springer, Cham, 2015, 10.1007/978-3-319-16721-3
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
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Cited alongside, same era.
F. Brown, The Massless higher-loop two-point function , Commun. Math. Phys. 287
2009
Cited alongside, same era.
E. Remiddi, “ Computer algebra, past, present and future
2011
Cited alongside, same era.
2011
Cited alongside, same era.
J. A. M. Vermaseren, New features of FORM , math-ph/0010025
Cited in the paper.
B. Ruijl, T. Ueda and J. Vermaseren, FORM version 4.2 , 1707.06453
Cited in the paper.
A. Raichev, Leĭnartas’ partial fraction decomposition , 1206.4740
Cited in the paper.
2016
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
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