| Publication | Date of Publication | Type |
|---|
| The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) | 2024-02-21 | Paper |
| Representation of hypergeometric products of higher nesting depths in difference rings | 2023-08-10 | Paper |
| Analytic results on the massive three-loop form factors: quarkonic contributions | 2023-07-06 | Paper |
| Numerical implementation of harmonic polylogarithms to weight w = 8 | 2023-04-14 | Paper |
| The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\) | 2023-02-27 | Paper |
| The SAGEX review on scattering amplitudes* | 2023-02-20 | Paper |
| The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals | 2023-02-20 | Paper |
| The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements | 2022-10-21 | Paper |
| Error bounds for the asymptotic expansion of the partition function | 2022-09-16 | Paper |
| Computer Algebra and Hypergeometric Structures for Feynman Integrals | 2022-07-18 | Paper |
| The two-loop massless off-shell QCD operator matrix elements to finite terms | 2022-06-17 | Paper |
| The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements | 2021-10-12 | Paper |
| The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\) | 2021-09-30 | Paper |
| The three-loop polarized pure singlet operator matrix element with two different masses | 2021-09-17 | Paper |
| The three-loop single mass polarized pure singlet operator matrix element | 2021-09-17 | Paper |
| The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\) | 2021-09-17 | Paper |
| Iterated integrals over letters induced by quadratic forms | 2021-03-15 | Paper |
| Evaluation of Binomial Double Sums Involving Absolute Values | 2021-01-12 | Paper |
| Minimal representations and algebraic relations for single nested products | 2020-12-18 | Paper |
| The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements | 2020-06-09 | Paper |
| Three loop heavy quark form factors and their asymptotic behavior | 2019-06-13 | Paper |
| Three loop QCD corrections to heavy quark form factors | 2019-05-09 | Paper |
| Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems | 2019-03-29 | Paper |
| Refined holonomic summation algorithms in particle physics | 2019-01-29 | Paper |
| Denominator bounds for systems of recurrence equations using \(\Pi\Sigma\)-extensions | 2019-01-29 | Paper |
| Representing \((q-)\)hypergeometric products and mixed versions in difference rings | 2019-01-29 | Paper |
| Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects | 2019-01-21 | Paper |
| Numerical Implementation of Harmonic Polylogarithms to Weight w = 8 | 2018-09-19 | Paper |
| Towards a symbolic summation theory for unspecified sequences | 2018-09-18 | Paper |
| Computer algebra tools for Feynman integrals and related multi-sums | 2018-09-17 | Paper |
| Algebraic independence of sequences generated by (cyclotomic) harmonic sums | 2018-08-03 | Paper |
| The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\) | 2018-07-19 | Paper |
| Iterated elliptic and hypergeometric integrals for Feynman diagrams | 2018-07-16 | Paper |
| The $\rho$ parameter at three loops and elliptic integrals | 2018-07-13 | Paper |
| Analytic computing methods for precision calculations in quantum field theory | 2018-06-28 | Paper |
| The two-mass contribution to the three-loop pure singlet operator matrix element | 2018-02-22 | Paper |
| Special functions, transcendentals and their numerics | 2017-12-22 | Paper |
| Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations | 2017-11-27 | Paper |
| The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\) | 2017-10-27 | Paper |
| The method of arbitrarily large moments to calculate single scale processes in quantum field theory | 2017-10-17 | Paper |
| Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses | 2017-09-08 | Paper |
| Representation of hypergeometric products in difference rings | 2017-06-21 | Paper |
| Denominator bounds for higher order systems of linear recurrence equations | 2017-06-21 | Paper |
| Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm | 2017-06-13 | Paper |
| Symbolic Summation in Difference Rings and Applications | 2017-05-10 | Paper |
| Application of unspecified sequences in symbolic summation | 2017-02-03 | Paper |
| Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra | 2016-11-10 | Paper |
| Algorithms to solve coupled systems of differential equations in terms of power series | 2016-08-18 | Paper |
| Evaluation of binomial double sums involving absolute values | 2016-07-18 | Paper |
| Fast Algorithms for Refined Parameterized Telescoping in Difference Fields | 2016-05-25 | Paper |
| The 3-loop non-singlet heavy flavor contributions to the structure function \(g_1(x, Q^2)\) at large momentum transfer | 2016-01-22 | Paper |
| A toolbox to solve coupled systems of differential and difference equations | 2016-01-08 | Paper |
| The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension | 2015-12-02 | Paper |
| The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function \(\mathrm{F}_2(\mathrm{x, Q}^{\mathrm{2}})\) and transversity | 2015-11-23 | Paper |
| The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element | 2015-10-29 | Paper |
| Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms | 2015-10-29 | Paper |
| Partial denominator bounds for partial linear difference equations | 2015-09-17 | Paper |
| A difference ring theory for symbolic summation | 2015-08-19 | Paper |
| Finding telescopers with minimal depth for indefinite nested sum and product expressions | 2015-07-16 | Paper |
| A refined denominator bounding algorithm for multivariate linear difference equations | 2015-06-09 | Paper |
| Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order | 2015-04-01 | Paper |
| Simplifying Multiple Sums in Difference Fields | 2015-04-01 | Paper |
| A symbolic summation approach to feynman integrals | 2015-02-20 | Paper |
| Iterated binomial sums and their associated iterated integrals | 2014-12-11 | Paper |
| Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations | 2014-07-09 | Paper |
| The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\) | 2014-04-24 | Paper |
| Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms | 2014-04-07 | Paper |
| Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers | 2013-10-21 | Paper |
| Harmonic sums and polylogarithms generated by cyclotomic polynomials | 2013-10-02 | Paper |
| Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction | 2013-10-01 | Paper |
| Massive 3-loop ladder diagrams for quarkonic local operator matrix elements | 2013-05-08 | Paper |
| The \(O(\alpha_s^3n_fT_F^2C_{A, F})\) contributions to the gluonic massive operator matrix elements | 2013-05-08 | Paper |
| Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N | 2012-12-31 | Paper |
| Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals | 2012-10-05 | Paper |
| A symbolic summation approach to Feynman integral calculus | 2012-07-04 | Paper |
| Evaluation of Multi-Sums for Large Scale Problems | 2012-02-20 | Paper |
| New Heavy Flavor Contributions to the DIS Structure Function $F_2(x,Q^2)$ at $O(\alpha_s^3) | 2012-02-13 | Paper |
| Parameterized telescoping proves algebraic independence of sums | 2012-01-24 | Paper |
| Unfair permutations | 2011-11-29 | Paper |
| Computing the complexity for Schelling segregation models | 2011-09-24 | Paper |
| A Symbolic Summation Approach to Find Optimal Nested Sum Representations | 2011-05-06 | Paper |
| The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity | 2011-03-14 | Paper |
| Gaussian Hypergeometric series and supercongruences | 2010-11-07 | Paper |
| Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra | 2010-10-28 | Paper |
| Two-loop massive operator matrix elements for unpolarized heavy flavor production to \(O(\epsilon)\) | 2010-07-08 | Paper |
| Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams | 2010-06-24 | Paper |
| Structural theorems for symbolic summation | 2010-03-01 | Paper |
| Symbolic summation assists combinatorics | 2010-01-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3628974 | 2009-05-26 | Paper |
| Automated proofs for some Stirling number identities | 2009-04-07 | Paper |
| When Is 0.999 … Equal to 1? | 2009-02-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5301673 | 2009-01-20 | Paper |
| A refined difference field theory for symbolic summation | 2008-06-25 | Paper |
| SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS | 2007-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5298135 | 2007-07-16 | Paper |
| Padé approximations to the logarithm. III: Alternative methods and additional results | 2007-04-10 | Paper |
| Apéry's double sum is plain sailing indeed | 2007-03-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3416425 | 2007-01-22 | Paper |
| Hypergeometric summation algorithms for high-order finite elements | 2007-01-08 | Paper |
| Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation | 2006-11-03 | Paper |
| Indefinite summation with unspecified summands | 2006-09-14 | Paper |
| Degree bounds to find polynomial solutions of parameterized linear difference equations in \(\Pi\Sigma\)-fields | 2006-02-08 | Paper |
| Solving parameterized linear difference equations in terms of indefinite nested sums and products | 2005-09-21 | Paper |
| Plane partitions. VI: Stembridge's TSPP theorem | 2005-08-01 | Paper |
| A new Sigma approach to multi-summation | 2005-08-01 | Paper |
| Product representations in \(\Pi\Sigma\)-fields | 2005-04-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4667612 | 2005-04-20 | Paper |
| Symbolic summation with single-nested sum extensions | 2005-03-14 | Paper |
| Computer proofs of a new family of harmonic number identities. | 2003-12-03 | Paper |
| An implementation of Karr's summation algorithm in Mathematica | 2000-04-17 | Paper |
