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Author ID: ablinger.jakob Recent zbMATH articles by "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

Publications by Year

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 1272.81127
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
48
2011
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
37
2013
Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra. Zbl 1348.81034
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
20
2016
Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141
Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C.
17
2014
Discovering and proving infinite binomial sums identities. Zbl 1365.05009
Ablinger, Jakob
17
2017
Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164
Ablinger, 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 1207.81160
Ablinger, 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 1323.81097
Ablinger, Jakob; Blümlein, Johannes; Raab, Clemens; Schneider, Carsten; Wißbrock, Fabian
9
2014
Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140
Ablinger, 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 1326.81234
Ablinger, 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 1325.81168
Ablinger, 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 1262.81184
Ablinger, 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 1373.81370
Ablinger, 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 1285.81065
Ablinger, 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 1409.81080
Ablinger, 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 1391.81202
Ablinger, 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 1323.81126
Ablinger, 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 1380.81433
Ablinger, J.; Blümlein, J.; De Freitas, A.; Schneider, C.; Schönwald, K.
3
2018
Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153
Ablinger, Jakob; Schneider, Carsten
3
2018
qFunctions – a Mathematica package for \(q\)-series and partition theory applications. Zbl 1465.05001
Ablinger, Jakob; Uncu, Ali Kemal
3
2021
Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses. Zbl 1370.81170
Ablinger, 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 1472.81263
Ablinger, 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 1473.81191
Ablinger, 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 07441059
Ablinger, Jakob
1
2020
Discovering and proving infinite Pochhammer sum identities. Zbl 1486.05024
Ablinger, Jakob
1
2022
Discovering and proving infinite Pochhammer sum identities. Zbl 1486.05024
Ablinger, Jakob
1
2022
qFunctions – a Mathematica package for \(q\)-series and partition theory applications. Zbl 1465.05001
Ablinger, Jakob; Uncu, Ali Kemal
3
2021
The three-loop polarized pure singlet operator matrix element with two different masses. Zbl 1472.81263
Ablinger, 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 1473.81191
Ablinger, 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 07441059
Ablinger, Jakob
1
2020
Automated solution of first order factorizable systems of differential equations in one variable. Zbl 1409.81080
Ablinger, J.; Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
5
2019
Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164
Ablinger, 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 1391.81202
Ablinger, 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 1380.81433
Ablinger, J.; Blümlein, J.; De Freitas, A.; Schneider, C.; Schönwald, K.
3
2018
Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Zbl 1444.11153
Ablinger, Jakob; Schneider, Carsten
3
2018
Discovering and proving infinite binomial sums identities. Zbl 1365.05009
Ablinger, Jakob
17
2017
The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\). Zbl 1373.81370
Ablinger, 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 1370.81170
Ablinger, 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 1348.81034
Ablinger, 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 1326.81234
Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.
7
2015
Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141
Ablinger, 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 1323.81097
Ablinger, 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 1325.81168
Ablinger, 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 1285.81065
Ablinger, 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 1323.81126
Ablinger, 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 1295.81071
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
37
2013
Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140
Ablinger, Jakob; Blümlein, Johannes
9
2013
Massive 3-loop ladder diagrams for quarkonic local operator matrix elements. Zbl 1262.81184
Ablinger, Jakob; Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten; Wißbrock, Fabian
7
2012
Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127
Ablinger, 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 1207.81160
Ablinger, J.; Blümlein, J.; Klein, S.; Schneider, C.; Wißbrock, F.
10
2011
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

Citations by Year