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Blümlein, Johannes

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Author ID: blumlein.johannes Recent zbMATH articles by "Blümlein, Johannes"
Published as: Blümlein, J.; Blümlein, Johannes; Bluemlein, Johannes
Documents Indexed: 60 Publications since 2000, including 2 Books

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 354 times in 189 Documents Cited by Year
The multiple zeta value data mine. Zbl 1221.11183
Blümlein, J.; Broadhurst, D. J.; Vermaseren, J. A. M.
77
2010
Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
40
2011
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
30
2013
Algebraic relations between harmonic sums and associated quantities. Zbl 1097.11063
Blümlein, Johannes
21
2004
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.
16
2016
Structural relations of harmonic sums and Mellin transforms up to weight \(w=5\). Zbl 1197.81036
Blümlein, Johannes
15
2009
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.
12
2018
Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141
Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C.
11
2014
Mellin moments of the \(O(\alpha_s^3)\) heavy flavor contributions to unpolarized deep-inelastic scattering at \(Q^{2}\gg m^{2}\) and anomalous dimensions. Zbl 1194.81244
Bierenbaum, Isabella; Blümlein, Johannes; Klein, Sebastian
10
2009
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.
9
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
8
2014
Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. Zbl 1197.81037
Blümlein, Johannes; Kauers, Manuel; Klein, Sebastian; Schneider, Carsten
7
2009
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
From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms. Zbl 1435.83039
Blümlein, J.; Maier, A.; Marquard, P.; Schäfer, G.; Schneider, C.
6
2020
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.
6
2014
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.
6
2015
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.
6
2017
Analytic continuation of Mellin transforms up to two-loop order. Zbl 0977.65120
Blümlein, Johannes
6
2000
Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140
Ablinger, Jakob; Blümlein, Johannes
6
2013
Two-loop massive operator matrix elements for unpolarized heavy flavor production to \(O(\epsilon)\). Zbl 1190.81133
Bierenbaum, Isabella; Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten
6
2008
A symbolic summation approach to Feynman integral calculus. Zbl 1242.81005
Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten; Stan, Flavia
5
2012
Structural relations of harmonic sums and Mellin transforms at weight \(w=6\). Zbl 1218.81103
Blümlein, Johannes
5
2010
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.
4
2019
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 \(O(\alpha_s^3n_fT_F^2C_{A, F})\) contributions to the gluonic massive operator matrix elements. Zbl 1262.81190
Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten
4
2013
Analytic computing methods for precision calculations in quantum field theory. Zbl 1392.81192
Blümlein, Johannes; Schneider, Carsten
3
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.
3
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
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.
3
2014
QCD analysis of polarized deep inelastic scattering data. Zbl 1207.81163
Blümlein, Johannes; Böttcher, Helmut
3
2010
Refined holonomic summation algorithms in particle physics. Zbl 1457.40001
Blümlein, Johannes; Round, Mark; Schneider, Carsten
2
2018
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 polarized three-loop anomalous dimensions from on-shell massive operator matrix elements. Zbl 07209994
Behring, A.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Klein, S.; von Manteuffel, A.; Schneider, C.; Schönwald, K.
1
2019
The heavy fermion contributions to the massive three loop form factors. Zbl 1448.81470
Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
1
2019
The complete \(O(\alpha_s^2)\) non-singlet heavy flavor corrections to the structure functions \(g_{1, 2}^{e p}(x, Q^2)\), \(F_{1, 2, L}^{e p}(x, Q^2)\), \(F_{1, 2, 3}^{\nu(\overline{\nu})}(x, Q^2)\) and the associated sum rules. Zbl 1345.81157
Blümlein, Johannes; Falcioni, Giulio; De Freitas, Abilio
1
2016
The method of arbitrarily large moments to calculate single scale processes in quantum field theory. Zbl 1372.81146
Blümlein, Johannes; Schneider, Carsten
1
2017
The \(O({\alpha}_s^2)\) heavy quark corrections to charged current deep-inelastic scattering at large virtualities. Zbl 1284.81280
Blümlein, Johannes; Hasselhuhn, Alexander; Pfoh, Torsten
1
2014
Computer algebra in quantum field theory. Integration, summation and special functions. Zbl 1276.81004
Schneider, Carsten (ed.); Blümlein, Johannes (ed.)
1
2013
Large scale analytic calculations in quantum field theories. Zbl 07293159
Blümlein, Johannes
1
2020
The 6th post-Newtonian potential terms at \(O( G_N^4)\). Zbl 07408724
Blümlein, J.; Maier, A.; Marquard, P.; Schäfer, G.
1
2021
The 6th post-Newtonian potential terms at \(O( G_N^4)\). Zbl 07408724
Blümlein, J.; Maier, A.; Marquard, P.; Schäfer, G.
1
2021
From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms. Zbl 1435.83039
Blümlein, J.; Maier, A.; Marquard, P.; Schäfer, G.; Schneider, C.
6
2020
Large scale analytic calculations in quantum field theories. Zbl 07293159
Blümlein, Johannes
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.
4
2019
The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements. Zbl 07209994
Behring, A.; Blümlein, J.; De Freitas, A.; Goedicke, A.; Klein, S.; von Manteuffel, A.; Schneider, C.; Schönwald, K.
1
2019
The heavy fermion contributions to the massive three loop form factors. Zbl 1448.81470
Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.
1
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.
12
2018
Analytic computing methods for precision calculations in quantum field theory. Zbl 1392.81192
Blümlein, Johannes; Schneider, Carsten
3
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.
3
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
Refined holonomic summation algorithms in particle physics. Zbl 1457.40001
Blümlein, Johannes; Round, Mark; Schneider, Carsten
2
2018
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.
6
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
The method of arbitrarily large moments to calculate single scale processes in quantum field theory. Zbl 1372.81146
Blümlein, Johannes; Schneider, Carsten
1
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.
16
2016
The complete \(O(\alpha_s^2)\) non-singlet heavy flavor corrections to the structure functions \(g_{1, 2}^{e p}(x, Q^2)\), \(F_{1, 2, L}^{e p}(x, Q^2)\), \(F_{1, 2, 3}^{\nu(\overline{\nu})}(x, Q^2)\) and the associated sum rules. Zbl 1345.81157
Blümlein, Johannes; Falcioni, Giulio; De Freitas, Abilio
1
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.
6
2015
Iterated binomial sums and their associated iterated integrals. Zbl 1306.81141
Ablinger, J.; Blümlein, J.; Raab, C. G.; Schneider, C.
11
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
8
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.
6
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
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.
3
2014
The \(O({\alpha}_s^2)\) heavy quark corrections to charged current deep-inelastic scattering at large virtualities. Zbl 1284.81280
Blümlein, Johannes; Hasselhuhn, Alexander; Pfoh, Torsten
1
2014
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. Zbl 1295.81071
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
30
2013
Harmonic sums, polylogarithms, special numbers, and their generalizations. Zbl 1308.81140
Ablinger, Jakob; Blümlein, Johannes
6
2013
The \(O(\alpha_s^3n_fT_F^2C_{A, F})\) contributions to the gluonic massive operator matrix elements. Zbl 1262.81190
Blümlein, Johannes; Hasselhuhn, Alexander; Klein, Sebastian; Schneider, Carsten
4
2013
Computer algebra in quantum field theory. Integration, summation and special functions. Zbl 1276.81004
Schneider, Carsten; Blümlein, Johannes
1
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
A symbolic summation approach to Feynman integral calculus. Zbl 1242.81005
Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten; Stan, Flavia
5
2012
Harmonic sums and polylogarithms generated by cyclotomic polynomials. Zbl 1272.81127
Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
40
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.
9
2011
The multiple zeta value data mine. Zbl 1221.11183
Blümlein, J.; Broadhurst, D. J.; Vermaseren, J. A. M.
77
2010
Structural relations of harmonic sums and Mellin transforms at weight \(w=6\). Zbl 1218.81103
Blümlein, Johannes
5
2010
QCD analysis of polarized deep inelastic scattering data. Zbl 1207.81163
Blümlein, Johannes; Böttcher, Helmut
3
2010
Structural relations of harmonic sums and Mellin transforms up to weight \(w=5\). Zbl 1197.81036
Blümlein, Johannes
15
2009
Mellin moments of the \(O(\alpha_s^3)\) heavy flavor contributions to unpolarized deep-inelastic scattering at \(Q^{2}\gg m^{2}\) and anomalous dimensions. Zbl 1194.81244
Bierenbaum, Isabella; Blümlein, Johannes; Klein, Sebastian
10
2009
Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra. Zbl 1197.81037
Blümlein, Johannes; Kauers, Manuel; Klein, Sebastian; Schneider, Carsten
7
2009
Two-loop massive operator matrix elements for unpolarized heavy flavor production to \(O(\epsilon)\). Zbl 1190.81133
Bierenbaum, Isabella; Blümlein, Johannes; Klein, Sebastian; Schneider, Carsten
6
2008
Algebraic relations between harmonic sums and associated quantities. Zbl 1097.11063
Blümlein, Johannes
21
2004
Analytic continuation of Mellin transforms up to two-loop order. Zbl 0977.65120
Blümlein, Johannes
6
2000
all top 5

Cited by 251 Authors

26 Blümlein, Johannes
23 Schneider, Carsten
13 Ablinger, Jakob
12 De Freitas, Abilio
11 Schlotterer, Oliver
9 Duhr, Claude
9 Xu, Ce
7 Schönwald, K.
6 Brödel, Johannes
6 Tancredi, Lorenzo
5 Dixon, Lance J.
5 Mafra, Carlos R.
5 Panzer, Erik
5 Sofo, Anthony
4 Behring, A.
4 Bogner, Christian
4 D’Hoker, Eric
4 Marquard, Peter
4 Papathanasiou, Georgios
4 von Hippel, Matt
4 Von Manteuffel, Andreas
3 Abreu, Samuel
3 Britto, Ruth
3 Brown, Francis C. S.
3 Drummond, James M.
3 Dulat, Falko
3 Frellesvig, Hjalte
3 Kniehl, Bernd A.
3 Maier, Andreas
3 Marboe, Christian
3 McLeod, Andrew J.
3 Onishchenko, Andrei I.
3 Stieberger, Stephan
3 Velizhanin, V. N.
3 Volin, Dmytro
3 Weinzierl, Stefan
3 Zhao, Jianqiang
2 Boels, Rutger H.
2 Borwein, Jonathan Michael
2 Caron-Huot, Simon
2 Cristofoli, Andrea
2 Di Vecchia, Paolo
2 Gardi, Einan
2 Goedicke, A.
2 Gracey, John A.
2 Green, Michael B.
2 Gromov, Nikolay
2 Heissenberg, Carlo
2 Hirose, Minoru
2 Jiu, Lin
2 Kaidi, Justin
2 Klein, Sebastian
2 Matthes, Nils
2 Pennington, Jeffrey S.
2 Pikelner, Andrey F.
2 Primo, Amedeo
2 Raab, Clemens G.
2 Remiddi, Ettore
2 Saragnese, M.
2 Sato, Nobuo
2 Smirnov, Aleksandr Vladimirovich
2 Smirnov, Vladimir A.
2 Velizhanin, Vitaly
2 Veretin, Oleg L.
2 Vermaseren, Jos A. M.
2 Zhang, Yang
1 Abramov, Sergeĭ Aleksandrovich
1 Adams, Luise
1 Alday, Luis Fernando
1 Alfimov, Mikhail
1 Anselmetti, Lorenzo
1 Anzai, C.
1 Bagherpour, H.
1 Baikov, P. A.
1 Bailey, David Harold
1 Banks, Peter
1 Barreiro, Luiz Antonio
1 Basu, Anirban
1 Beccaria, Matteo
1 Becchetti, Matteo
1 Bekavac, Stefan
1 Beneke, Martin
1 Bertone, Valerio
1 Besier, Marco
1 Bezuglov, M. A.
1 Bissi, Agnese
1 Böhm, Janko
1 Bombardelli, Diego
1 Bonetti, Marco
1 Bönisch, Kilian
1 Bonocore, Domenico
1 Borowka, Sophia
1 Bosma, Jorrit
1 Broadhurst, David John
1 Bronstein, Manuel Eric
1 Buehler, Stephan
1 Bui, Van Chiên
1 Bytev, Vladimir V.
1 Cai, Yulin
1 Campert, Lijsbeth G. J.
...and 151 more Authors
all top 5

Cited in 55 Serials

61 Journal of High Energy Physics
30 Nuclear Physics. B
8 Computer Physics Communications
8 Journal of Symbolic Computation
7 Journal of Mathematical Physics
4 Physics Letters. B
4 International Journal of Number Theory
3 Journal of Number Theory
2 International Journal of Modern Physics A
2 Communications in Mathematical Physics
2 International Journal of Theoretical Physics
2 Physics Reports
2 Fortschritte der Physik
2 Programming and Computer Software
2 Experimental Mathematics
2 The Ramanujan Journal
2 Abstract and Applied Analysis
2 Integers
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Research in Number Theory
1 Modern Physics Letters A
1 Classical and Quantum Gravity
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 The Mathematical Intelligencer
1 Applied Mathematics and Computation
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Approximation Theory
1 Manuscripta Mathematica
1 European Journal of Combinatorics
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal de Théorie des Nombres de Bordeaux
1 Computational and Applied Mathematics
1 The Electronic Journal of Combinatorics
1 Journal of Difference Equations and Applications
1 Vietnam Journal of Mathematics
1 Annals of Combinatorics
1 Annals of Mathematics. Second Series
1 Mediterranean Journal of Mathematics
1 The European Physical Journal C. Particles and Fields
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Applications and Applied Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Advances in High Energy Physics
1 Asian-European Journal of Mathematics
1 Acta Universitatis Sapientiae. Mathematica
1 Forum of Mathematics, Sigma
1 ISRN High Energy Physics
1 Open Mathematics

Citations by Year