Edit Profile Ablinger, Jakob Compute Distance To: Compute Author ID: ablinger.jakob Published as: Ablinger, J.; Ablinger, Jakob Documents Indexed: 20 Publications since 2011 all top 5 Co-Authors 1 single-authored 18 Blümlein, Johannes 18 Schneider, Carsten 10 De Freitas, Abilio 6 Von Manteuffel, Andreas 6 Wißbrock, Fabian 5 Hasselhuhn, Alexander 4 Behring, A. 3 Raab, Clemens G. 3 Round, Mark 2 Klein, Sebastian 2 Schönwald, K. 1 Goedicke, A. 1 Imamoglu, Erdal 1 Marquard, Peter 1 Radu, Cristian-Silviu 1 Rana, Neelam 1 van Hoeij, Mark Serials 12 Nuclear Physics. B 4 Journal of Mathematical Physics 1 Computer Physics Communications 1 Experimental Mathematics 1 Annals of Combinatorics all top 5 Fields 18 Quantum theory (81-XX) 11 Number theory (11-XX) 3 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 18 Publications have been cited 168 times in 78 Documents Cited by ▼ Year ▼ Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 42 2011 Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 29 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. 15 2016 Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C. 12 2014 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. 9 2011 Discovering and proving infinite binomial sums identities. Zbl 1365.05009Ablinger, Jakob 7 2017 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 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 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. 6 2018 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. 6 2017 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. 6 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. 6 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 Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140Ablinger, Jakob; Blümlein, Johannes 4 2013 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. 3 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. 3 2014 Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153Ablinger, Jakob; Schneider, Carsten 1 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. 1 2018 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. 6 2018 Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153Ablinger, Jakob; Schneider, Carsten 1 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. 1 2018 Discovering and proving infinite binomial sums identities. Zbl 1365.05009Ablinger, Jakob 7 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. 6 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. 3 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. 15 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. 6 2015 Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C. 12 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 7 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. 6 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 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. 3 2014 Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten 29 2013 Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140Ablinger, Jakob; Blümlein, Johannes 4 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 42 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. 9 2011 all cited Publications top 5 cited Publications all top 5 Cited by 126 Authors 14 Blümlein, Johannes 14 Schneider, Carsten 10 Ablinger, Jakob 10 Duhr, Claude 6 De Freitas, Abilio 6 Tancredi, Lorenzo 4 Abreu, Samuel 4 Lee, Roman N. 4 Schlotterer, Oliver 3 Behring, A. 3 Britto, Ruth 3 Brödel, Johannes 3 Dixon, Lance J. 3 Dulat, Falko 3 Gardi, Einan 3 Mafra, Carlos R. 3 Sofo, Anthony 3 Von Manteuffel, Andreas 2 Bogner, Christian 2 Borwein, Jonathan Michael 2 Caron-Huot, Simon 2 Frellesvig, Hjalte 2 Gracey, John A. 2 Gromov, Nikolay 2 Marquard, Peter 2 Matthes, Nils 2 McLeod, Andrew J. 2 Onishchenko, Andrei I. 2 Panzer, Erik 2 Papathanasiou, Georgios 2 Primo, Amedeo 2 Raab, Clemens G. 2 Remiddi, Ettore 2 von Hippel, Matt 2 Zhang, Yang 1 Adams, Luise 1 Alday, Luis Fernando 1 Alfimov, Mikhail 1 Anzai, C. 1 Bailey, David Harold 1 Becchetti, Matteo 1 Bissi, Agnese 1 Böhm, Janko 1 Bonetti, Marco 1 Bonocore, Domenico 1 Borowka, Sophia 1 Bosma, Jorrit 1 Buehler, Stephan 1 Chavez, Federico 1 Chen, Kwang-Wu 1 Chen, Yuwu 1 Chu, Wenchang 1 Drummond, James M. 1 Falcioni, Giulio 1 Ferrero, Pietro 1 Gangl, Herbert 1 Gao, Jun 1 Gehrmann, Thomas 1 Georgoudis, Alessandro 1 Ghosh, Kausik 1 Goedicke, A. 1 Grozin, Andrey G. 1 Harland-Lang, Lucian 1 Henn, Johannes M. 1 Hulme, Daniel 1 Imamoglu, Erdal 1 Jack, I. S. 1 Kimberley, Jason S. 1 Klein, Sebastian 1 Kniehl, Bernd A. 1 Korchemsky, Gregory P. 1 Ladd, Watson 1 Laenen, Eric 1 Larsen, Kasper J. 1 Leurent, Sebastien 1 Levkovich-Maslyuk, Fedor 1 Liu, Hongmei 1 Marzucca, Robin 1 Matthew, James 1 Melnikov, Kirill 1 Moch, Sven-Olaf 1 Onishchenka, A. I. 1 Papadopoulos, Costas G. 1 Penante, Brenda 1 Pennington, Jeffrey S. 1 Pikelner, Andrey F. 1 Poole, Colin 1 Prygarin, Alex 1 Puhlfürst, Georg 1 Radu, Cristian-Silviu 1 Rana, Neelam 1 Reina, Laura 1 Rhodes, John R. 1 Richter, Gregor 1 Rietkerk, Robbert 1 Rojo, Juan Angel 1 Rottmann, Paulo A. 1 Ruijl, Ben 1 Schneider, Carsten 1 Schönemann, Hans ...and 26 more Authors all top 5 Cited in 20 Serials 32 Journal of High Energy Physics 15 Nuclear Physics. B 6 Journal of Mathematical Physics 4 Computer Physics Communications 3 Journal of Symbolic Computation 2 Experimental Mathematics 2 Journal of Difference Equations and Applications 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Physics Letters. B 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Journal of Approximation Theory 1 Journal of Number Theory 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Integers 1 International Journal of Number Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Acta Universitatis Sapientiae. Mathematica all top 5 Cited in 24 Fields 61 Quantum theory (81-XX) 21 Number theory (11-XX) 18 Special functions (33-XX) 7 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Numerical analysis (65-XX) 3 Associative rings and algebras (16-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year