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Rationalizability of square roots (Q2028996)

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Language	Label	Description	Also known as
English	Rationalizability of square roots	scientific article

Statements

scholarly article

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Rationalizability of square roots (English)

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Journal of Symbolic Computation

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publication date

3 June 2021

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full work available at URL

https://arxiv.org/abs/2006.07121

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zbMATH Keywords

Feynman integrals

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multiple polylogarithms

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rationality problems

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describes a project that uses

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RationalizeRoots

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MaRDI profile type

MaRDI publication profile

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Discovering and Proving Infinite Binomial Sums Identities

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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The two-loop five-point amplitude in $ \mathcal{N}=8$ supergravity

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The kite integral to all orders in terms of elliptic polylogarithms

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The two-loop sunrise graph with arbitrary masses

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The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

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The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case

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The iterated structure of the all-order result for the two-loop sunrise integral

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Feynman integrals and iterated integrals of modular forms

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The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case

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Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor-planar case

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Some Elementary Examples of Unirational Varieties Which are Not Rational

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Arithmetic and geometry of a \(K3\) surface emerging from virtual corrections to Drell-Yan scattering

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Rationalizing roots: an algorithmic approach

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RationalizeRoots: software package for the rationalization of square roots

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Local mirror symmetry and the sunset Feynman integral

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The elliptic dilogarithm for the sunset graph

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Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral

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The Magma algebra system. I: The user language

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Rationalizing loop integration

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Bhabha scattering and a special pencil of \(K3\) surfaces

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Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD

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Pentagon functions for massless planar scattering amplitudes

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All orders structure and efficient computation of linearly reducible elliptic Feynman integrals

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Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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Classification of normal quartic surfaces with irrational singularities

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Analytic treatment of the two loop equal mass sunrise graph

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A second-order differential equation for the two-loop sunrise graph with arbitrary masses

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Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

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An elliptic generalization of multiple polylogarithms

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Radical parametrizations of algebraic curves by adjoint curves

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First steps towards radical parametrization of algebraic surfaces

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Algebraic and algorithmic aspects of radical parametrizations

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Rational algebraic curves. A computer algebra approach

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Numerical evaluation of multiple polylogarithms

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Identifiers

zbMATH Open document ID

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10.1016/j.jsc.2020.12.002

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2028996

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