A Symbolic Summation Approach to Find Optimal Nested Sum Representations
From MaRDI portal
Publication:2997039
zbMath1225.33031arXiv0904.2323MaRDI QIDQ2997039
Publication date: 6 May 2011
Full work available at URL: https://arxiv.org/abs/0904.2323
Symbolic computation and algebraic computation (68W30) Feynman diagrams (81T18) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Related Items (21)
The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ Algebraic independence of sequences generated by (cyclotomic) harmonic sums ⋮ Iterated binomial sums and their associated iterated integrals ⋮ The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements ⋮ The heavy fermion contributions to the massive three loop form factors ⋮ Hypergeometric structures in Feynman integrals ⋮ Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱ ⋮ The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\) ⋮ Formulae and Asymptotics for Coefficients of Algebraic Functions ⋮ A symbolic summation approach to Feynman integral calculus ⋮ Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects ⋮ Minimal representations and algebraic relations for single nested products ⋮ Automated solution of first order factorizable systems of differential equations in one variable ⋮ The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\) ⋮ A difference ring theory for symbolic summation ⋮ Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms ⋮ Structural theorems for symbolic summation ⋮ Simplifying Multiple Sums in Difference Fields ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation
Uses Software
This page was built for publication: A Symbolic Summation Approach to Find Optimal Nested Sum Representations
