Balancing act: multivariate rational reconstruction for IBP
DOI10.1016/j.nuclphysb.2023.116253zbMath1529.81068arXiv2303.02511OpenAlexW4380988354MaRDI QIDQ6173579
No author found.
Publication date: 21 July 2023
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.02511
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Applications of Lie groups to the sciences; explicit representations (22E70) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Packaged methods for numerical algorithms (65Y15) Integration on analytic sets and spaces, currents (32C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The number of master integrals is finite
- \texttt{Reduze} -- Feynman integral reduction in \texttt{C++}
- Sparse interpolation of multivariate rational functions
- Analytic tools for Feynman integrals
- Interpolating polynomials from their values
- Computing with polynomials given by black boxes for their evaluations: greatest common divisors, factorization, separation of numerators and denominators
- Scattering amplitudes over finite fields and multivariate functional reconstruction
- Kira -- a Feynman integral reduction program
- Barycentric rational interpolation with no poles and high rates of approximation
- A novel approach to integration by parts reduction
- FIRE6: Feynman integral reduction with modular arithmetic
- HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
- Modern Computer Algebra
- Early termination in Ben-Or/Tiwari sparse interpolation and a hybrid of Zippel's algorithm
- Computational Complexity of Sparse Rational Interpolation
- Sparse Rational Function Interpolation with Finitely Many Values for the Coefficients
- Maximal quotient rational reconstruction
- Algorithms for the non-monic case of the sparse modular GCD algorithm
- Integral reduction with Kira 2.0 and finite field methods
- Interpolation of dense and sparse rational functions and other improvements in \texttt{FireFly}
This page was built for publication: Balancing act: multivariate rational reconstruction for IBP
