Edit Profile (opens in new tab) Ablinger, Jakob Compute Distance To: Compute Author ID: ablinger.jakob Published as: Ablinger, J.; Ablinger, Jakob Documents Indexed: 28 Publications since 2011 Co-Authors: 18 Co-Authors with 24 Joint Publications 155 Co-Co-Authors all top 5 Co-Authors 4 single-authored 22 Blümlein, Johannes 21 Schneider, Carsten 14 De Freitas, Abilio 7 Von Manteuffel, Andreas 6 Schönwald, K. 6 Wißbrock, Fabian 5 Behring, A. 5 Hasselhuhn, Alexander 3 Raab, Clemens G. 3 Round, Mark 2 Goedicke, A. 2 Klein, Sebastian 2 Saragnese, M. 1 Imamoglu, Erdal 1 Marquard, Peter 1 Radu, Cristian-Silviu 1 Uncu, Ali Kemal 1 van Hoeij, Mark all top 5 Serials 16 Nuclear Physics. B 4 Journal of Mathematical Physics 2 Experimental Mathematics 1 Computer Physics Communications 1 Journal of Symbolic Computation 1 Annals of Combinatorics all top 5 Fields 22 Quantum theory (81-XX) 12 Number theory (11-XX) 7 Special functions (33-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 2 Numerical analysis (65-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 244 times in 116 Documents Cited by ▼ Year ▼ Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 48 2011 Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 37 2013 Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra. Zbl 1348.81034Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C. 20 2016 Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C. 17 2014 Discovering and proving infinite binomial sums identities. Zbl 1365.05009Ablinger, Jakob 17 2017 Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C. 16 2018 The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity. Zbl 1207.81160Ablinger, J.; Blümlein, J.; Klein, S.; Schneider, C.; Wißbrock, F. 10 2011 Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms. Zbl 1323.81097Ablinger, Jakob; Blümlein, Johannes; Raab, Clemens; Schneider, Carsten; Wißbrock, Fabian 9 2014 Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140Ablinger, Jakob; Blümlein, Johannes 9 2013 The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension. Zbl 1326.81234Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C. 7 2015 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. Zbl 1325.81168Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F. 7 2014 Massive 3-loop ladder diagrams for quarkonic local operator matrix elements. Zbl 1262.81184Ablinger, Jakob; Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten; Wißbrock, Fabian 7 2012 The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\). Zbl 1373.81370Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C. 7 2017 The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\). Zbl 1285.81065Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F. 5 2014 Automated solution of first order factorizable systems of differential equations in one variable. Zbl 1409.81080Ablinger, J.; Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C. 5 2019 The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\). Zbl 1391.81202Ablinger, J.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Schneider, C.; Schönwald, K. 4 2018 The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element. Zbl 1323.81126Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C. 4 2014 The two-mass contribution to the three-loop pure singlet operator matrix element. Zbl 1380.81433Ablinger, J.; Blümlein, J.; De Freitas, A.; Schneider, C.; Schönwald, K. 3 2018 Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153Ablinger, Jakob; Schneider, Carsten 3 2018 qFunctions – a Mathematica package for \(q\)-series and partition theory applications. Zbl 1465.05001Ablinger, Jakob; Uncu, Ali Kemal 3 2021 Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses. Zbl 1370.81170Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; Schneider, C.; Wißbrock, F. 2 2017 The three-loop polarized pure singlet operator matrix element with two different masses. Zbl 1472.81263Ablinger, J.; Blümlein, J.; De Freitas, A.; Saragnese, M.; Schneider, C.; Schönwald, K. 1 2020 The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\). Zbl 1473.81191Ablinger, J.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Saragnese, M.; Schneider, C.; Schönwald, K. 1 2020 Proving two conjectural series for \(\zeta (7)\) and discovering more series for \(\zeta (7)\). Zbl 07441059Ablinger, Jakob 1 2020 Discovering and proving infinite Pochhammer sum identities. Zbl 1486.05024Ablinger, Jakob 1 2022 Discovering and proving infinite Pochhammer sum identities. Zbl 1486.05024Ablinger, Jakob 1 2022 qFunctions – a Mathematica package for \(q\)-series and partition theory applications. Zbl 1465.05001Ablinger, Jakob; Uncu, Ali Kemal 3 2021 The three-loop polarized pure singlet operator matrix element with two different masses. Zbl 1472.81263Ablinger, J.; Blümlein, J.; De Freitas, A.; Saragnese, M.; Schneider, C.; Schönwald, K. 1 2020 The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\). Zbl 1473.81191Ablinger, J.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Saragnese, M.; Schneider, C.; Schönwald, K. 1 2020 Proving two conjectural series for \(\zeta (7)\) and discovering more series for \(\zeta (7)\). Zbl 07441059Ablinger, Jakob 1 2020 Automated solution of first order factorizable systems of differential equations in one variable. Zbl 1409.81080Ablinger, J.; Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C. 5 2019 Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C. 16 2018 The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\). Zbl 1391.81202Ablinger, J.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Schneider, C.; Schönwald, K. 4 2018 The two-mass contribution to the three-loop pure singlet operator matrix element. Zbl 1380.81433Ablinger, J.; Blümlein, J.; De Freitas, A.; Schneider, C.; Schönwald, K. 3 2018 Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153Ablinger, Jakob; Schneider, Carsten 3 2018 Discovering and proving infinite binomial sums identities. Zbl 1365.05009Ablinger, Jakob 17 2017 The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\). Zbl 1373.81370Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C. 7 2017 Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses. Zbl 1370.81170Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; Schneider, C.; Wißbrock, F. 2 2017 Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra. Zbl 1348.81034Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C. 20 2016 The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension. Zbl 1326.81234Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C. 7 2015 Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C. 17 2014 Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms. Zbl 1323.81097Ablinger, Jakob; Blümlein, Johannes; Raab, Clemens; Schneider, Carsten; Wißbrock, Fabian 9 2014 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. Zbl 1325.81168Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F. 7 2014 The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\). Zbl 1285.81065Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.; Wißbrock, F. 5 2014 The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element. Zbl 1323.81126Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C. 4 2014 Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 37 2013 Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140Ablinger, Jakob; Blümlein, Johannes 9 2013 Massive 3-loop ladder diagrams for quarkonic local operator matrix elements. Zbl 1262.81184Ablinger, Jakob; Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten; Wißbrock, Fabian 7 2012 Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 48 2011 The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity. Zbl 1207.81160Ablinger, J.; Blümlein, J.; Klein, S.; Schneider, C.; Wißbrock, F. 10 2011 all cited Publications top 5 cited Publications all top 5 Cited by 169 Authors 20 Schneider, Carsten 19 Blümlein, Johannes 14 Ablinger, Jakob 9 De Freitas, Abilio 9 Duhr, Claude 6 Schönwald, K. 6 Sofo, Anthony 6 Tancredi, Lorenzo 4 Brödel, Johannes 4 Schlotterer, Oliver 3 Abreu, Samuel 3 Behring, A. 3 Chu, Wenchang 3 Dixon, Lance J. 3 Dulat, Falko 3 Frellesvig, Hjalte 3 Mafra, Carlos R. 3 Marquard, Peter 3 Onishchenko, Andrei I. 3 Raab, Clemens G. 3 von Hippel, Matt 3 Von Manteuffel, Andreas 2 Bogner, Christian 2 Borwein, Jonathan Michael 2 Britto, Ruth 2 Caron-Huot, Simon 2 Gangl, Herbert 2 Gardi, Einan 2 Goedicke, A. 2 Gracey, John A. 2 Gromov, Nikolay A. 2 Kniehl, Bernd A. 2 Matthes, Nils 2 McLeod, Andrew J. 2 Moch, Sven-Olaf 2 Panzer, Erik 2 Papathanasiou, Georgios 2 Primo, Amedeo 2 Remiddi, Ettore 2 Saragnese, M. 2 Uncu, Ali Kemal 2 Veretin, Oleg L. 2 Wang, Xiaoxia 2 Zhang, Yang 1 Abramov, Sergeĭ Aleksandrovich 1 Adams, Luise 1 Alday, Luis Fernando 1 Alfimov, Mikhail 1 Anzai, C. 1 Bailey, David Harold 1 Becchetti, Matteo 1 Berkovich, Alexander 1 Besier, Marco 1 Bezuglov, M. A. 1 Bissi, Agnese 1 Böhm, Janko 1 Bonetti, Marco 1 Bönisch, Kilian 1 Bonocore, Domenico 1 Borowka, Sophia 1 Bosma, Jorrit 1 Bronstein, Manuel Eric 1 Buehler, Stephan 1 Bytev, Vladimir V. 1 Campbell, John Maxwell 1 Campert, Lijsbeth G. J. 1 Chakraborty, Suvra Kanti 1 Charlton, Steven 1 Chen, Kwang-Wu 1 Chen, Yao 1 Chen, Yuwu 1 Corteel, Sylvie 1 Dousse, Jehanne 1 Dreyfus, Thomas 1 Drummond, James M. 1 Falcioni, Giulio 1 Ferrero, Pietro 1 Festi, Dino 1 Fischbach, Fabian 1 Gao, Jun 1 Gehrmann, Thomas 1 Georgoudis, Alessandro 1 Ghosh, Kausik 1 Grozin, Andrey G. 1 Harland-Lang, Lucian 1 Hassani, Hossein 1 Heinrich, Gudrun 1 Henn, Johannes M. 1 Hulme, Daniel 1 Imamoglu, Erdal 1 Kaderli, André 1 Kalmykov, Mikhail Yu. 1 Kimberley, Jason S. 1 Klein, Sebastian 1 Klemm, Albrecht 1 Korchemsky, Gregory P. 1 Kotikov, Anatoly V. 1 Koutschan, Christoph 1 Ladd, Watson 1 Laenen, Eric ...and 69 more Authors all top 5 Cited in 35 Serials 33 Journal of High Energy Physics 20 Nuclear Physics. B 6 Journal of Mathematical Physics 5 Journal of Symbolic Computation 4 Computer Physics Communications 4 Journal of Difference Equations and Applications 2 Physics Letters. B 2 Physics Reports 2 Experimental Mathematics 2 The Ramanujan Journal 2 Integers 1 International Journal of Modern Physics A 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Journal of Approximation Theory 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Programming and Computer Software 1 European Journal of Combinatorics 1 Computational and Applied Mathematics 1 The Electronic Journal of Combinatorics 1 Annals of Combinatorics 1 Advances in Difference Equations 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contributions to Discrete Mathematics 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Asian-European Journal of Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Sankhyā. Series B all top 5 Cited in 28 Fields 75 Quantum theory (81-XX) 34 Number theory (11-XX) 34 Special functions (33-XX) 13 Computer science (68-XX) 11 Relativity and gravitational theory (83-XX) 9 Combinatorics (05-XX) 7 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 Approximations and expansions (41-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year