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Author ID: weinzierl.stefan Recent zbMATH articles by "Weinzierl, Stefan"
Published as: Weinzierl, Stefan; Weinzierl, S.
Documents Indexed: 63 Publications since 1999, including 1 Book and 7 Additional arXiv Preprints
Reviewing Activity: 22 Reviews
Co-Authors: 75 Co-Authors with 44 Joint Publications
565 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,225 times in 493 Documents Cited by Year
Nested sums, expansion of transcendental functions, and multiscale multiloop integrals. Zbl 1060.33007
Moch, Sven; Uwer, Peter; Weinzierl, Stefan
98
2002
Numerical evaluation of multiple polylogarithms. Zbl 1196.65045
Vollinga, Jens; Weinzierl, Stefan
95
2005
The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms. Zbl 1298.81204
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
62
2014
The two-loop sunrise graph with arbitrary masses. Zbl 1282.81193
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
60
2013
Feynman integrals and iterated integrals of modular forms. Zbl 1393.81015
Adams, Luise; Weinzierl, Stefan
51
2018
The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case. Zbl 1320.81059
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
51
2015
The kite integral to all orders in terms of elliptic polylogarithms. Zbl 1353.81097
Adams, Luise; Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
48
2016
Feynman graph polynomials. Zbl 1193.81072
Bogner, Christian; Weinzierl, Stefan
48
2010
Resolution of singularities for multi-loop integrals. Zbl 1196.81010
Bogner, Christian; Weinzierl, Stefan
47
2008
The iterated structure of the all-order result for the two-loop sunrise integral. Zbl 1333.81283
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
44
2016
A second-order differential equation for the two-loop sunrise graph with arbitrary masses. Zbl 1275.81069
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
43
2012
The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case. Zbl 1398.81097
Adams, Luise; Weinzierl, Stefan
42
2018
Expansion around half-integer values, binomial sums, and inverse binomial sums. Zbl 1071.33018
Weinzierl, Stefan
39
2004
Symbolic expansion of transcendental functions. Zbl 1001.65025
Weinzierl, Stefan
35
2002
The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\). Zbl 1503.81031
Bogner, Christian; Müller-Stach, Stefan; Weinzierl, Stefan
35
2020
Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral. Zbl 1373.81293
Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
33
2017
Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality. Zbl 1342.81321
Tolotti, Mathias; Weinzierl, Stefan
32
2013
Picard-Fuchs equations for Feynman integrals. Zbl 1285.81029
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
30
2014
Rationalizing roots: an algorithmic approach. Zbl 1414.81116
Besier, Marco; van Straten, Duco; Weinzierl, Stefan
29
2019
Proof of the fundamental BCJ relations for QCD amplitudes. Zbl 1390.81732
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
25
2015
The massless two-loop two-point function. Zbl 1099.81534
Bierenbaum, I.; Weinzierl, S.
23
2003
Periods and Feynman integrals. Zbl 1214.81096
Bogner, Christian; Weinzierl, Stefan
23
2009
Relations for Einstein-Yang-Mills amplitudes from the CHY representation. Zbl 1404.70070
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
19
2017
RationalizeRoots: software package for the rationalization of square roots. Zbl 07687610
Besier, Marco; Wasser, Pascal; Weinzierl, Stefan
17
2020
Properties of scattering forms and their relation to associahedra. Zbl 1388.81929
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
16
2018
Numerical evaluation of iterated integrals related to elliptic Feynman integrals. Zbl 07695387
Walden, Moritz; Weinzierl, Stefan
16
2021
Tales of 1001 gluons. Zbl 1366.81284
Weinzierl, Stefan
16
2017
SUSY ward identities for multi-gluon helicity amplitudes with massive quarks. Zbl 1226.81142
Schwinn, Christian; Weinzierl, Stefan
14
2006
Feynman integrals. A comprehensive treatment for students and researchers. Zbl 1493.81001
Weinzierl, Stefan
14
2022
Numerical NLO QCD calculations. Zbl 1294.81267
Becker, Sebastian; Reuschle, Christian; Weinzierl, Stefan
14
2010
Fermions and the scattering equations. Zbl 1388.81122
Weinzierl, Stefan
13
2015
On the computation of intersection numbers for twisted cocycles. Zbl 1469.81050
Weinzierl, Stefan
12
2021
The art of computing loop integrals. Zbl 1122.81069
Weinzierl, Stefan
10
2007
Modular transformations of elliptic Feynman integrals. Zbl 1476.81086
Weinzierl, Stefan
9
2021
Introduction to Feynman integrals. Zbl 1295.81114
Weinzierl, Stefan
9
2013
A Feynman integral depending on two elliptic curves. Zbl 1522.81278
Müller, Hildegard; Weinzierl, Stefan
7
2022
The three-loop equal-mass banana integral in \(\varepsilon\)-factorised form with meromorphic modular forms. Zbl 07647426
Pögel, Sebastian; Wang, Xing; Weinzierl, Stefan
7
2022
A comparison of efficient methods for the computation of Born gluon amplitudes. Zbl 1226.81139
Dinsdale, Michael; Ternick, Marko; Weinzierl, Stefan
5
2006
Bananas of equal mass: any loop, any order in the dimensional regularisation parameter. Zbl 07694005
Pögel, Sebastian; Wang, Xing; Weinzierl, Stefan
5
2023
The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms. Zbl 1371.81143
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
5
2015
Correlation functions on the lattice and twisted cocycles. Zbl 1436.81081
Weinzierl, Stefan
5
2020
The H-graph with equal masses in terms of multiple polylogarithms. Zbl 07409702
Kreer, Philipp Alexander; Weinzierl, Stefan
4
2021
The next-to-ladder approximation for linear Dyson-Schwinger equations. Zbl 1248.83037
Bierenbaum, Isabella; Kreimer, Dirk; Weinzierl, Stefan
3
2007
Review on loop integrals which need regularization but yield finite results. Zbl 1291.81178
Weinzierl, Stefan
3
2014
The MHV Lagrangian for a spontaneously broken gauge theory. Zbl 1291.81426
Buchta, Sebastian; Weinzierl, Stefan
3
2010
Feynman graphs. Zbl 1308.81142
Weinzierl, Stefan
2
2013
Feynman integrals and multiple polylogarithms. Zbl 1182.81037
Weinzierl, Stefan
2
2009
Algebraic algorithms in perturbative calculations. Zbl 1200.81117
Weinzierl, Stefan
1
2007
Periods and Hodge structures in perturbative quantum field theory. Zbl 1346.81103
Weinzierl, Stefan
1
2015
Bananas of equal mass: any loop, any order in the dimensional regularisation parameter. Zbl 07694005
Pögel, Sebastian; Wang, Xing; Weinzierl, Stefan
5
2023
Feynman integrals. A comprehensive treatment for students and researchers. Zbl 1493.81001
Weinzierl, Stefan
14
2022
A Feynman integral depending on two elliptic curves. Zbl 1522.81278
Müller, Hildegard; Weinzierl, Stefan
7
2022
The three-loop equal-mass banana integral in \(\varepsilon\)-factorised form with meromorphic modular forms. Zbl 07647426
Pögel, Sebastian; Wang, Xing; Weinzierl, Stefan
7
2022
Numerical evaluation of iterated integrals related to elliptic Feynman integrals. Zbl 07695387
Walden, Moritz; Weinzierl, Stefan
16
2021
On the computation of intersection numbers for twisted cocycles. Zbl 1469.81050
Weinzierl, Stefan
12
2021
Modular transformations of elliptic Feynman integrals. Zbl 1476.81086
Weinzierl, Stefan
9
2021
The H-graph with equal masses in terms of multiple polylogarithms. Zbl 07409702
Kreer, Philipp Alexander; Weinzierl, Stefan
4
2021
The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\). Zbl 1503.81031
Bogner, Christian; Müller-Stach, Stefan; Weinzierl, Stefan
35
2020
RationalizeRoots: software package for the rationalization of square roots. Zbl 07687610
Besier, Marco; Wasser, Pascal; Weinzierl, Stefan
17
2020
Correlation functions on the lattice and twisted cocycles. Zbl 1436.81081
Weinzierl, Stefan
5
2020
Rationalizing roots: an algorithmic approach. Zbl 1414.81116
Besier, Marco; van Straten, Duco; Weinzierl, Stefan
29
2019
Feynman integrals and iterated integrals of modular forms. Zbl 1393.81015
Adams, Luise; Weinzierl, Stefan
51
2018
The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case. Zbl 1398.81097
Adams, Luise; Weinzierl, Stefan
42
2018
Properties of scattering forms and their relation to associahedra. Zbl 1388.81929
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
16
2018
Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral. Zbl 1373.81293
Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
33
2017
Relations for Einstein-Yang-Mills amplitudes from the CHY representation. Zbl 1404.70070
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
19
2017
Tales of 1001 gluons. Zbl 1366.81284
Weinzierl, Stefan
16
2017
The kite integral to all orders in terms of elliptic polylogarithms. Zbl 1353.81097
Adams, Luise; Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
48
2016
The iterated structure of the all-order result for the two-loop sunrise integral. Zbl 1333.81283
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
44
2016
The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case. Zbl 1320.81059
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
51
2015
Proof of the fundamental BCJ relations for QCD amplitudes. Zbl 1390.81732
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
25
2015
Fermions and the scattering equations. Zbl 1388.81122
Weinzierl, Stefan
13
2015
The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms. Zbl 1371.81143
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
5
2015
Periods and Hodge structures in perturbative quantum field theory. Zbl 1346.81103
Weinzierl, Stefan
1
2015
The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms. Zbl 1298.81204
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
62
2014
Picard-Fuchs equations for Feynman integrals. Zbl 1285.81029
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
30
2014
Review on loop integrals which need regularization but yield finite results. Zbl 1291.81178
Weinzierl, Stefan
3
2014
The two-loop sunrise graph with arbitrary masses. Zbl 1282.81193
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
60
2013
Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality. Zbl 1342.81321
Tolotti, Mathias; Weinzierl, Stefan
32
2013
Introduction to Feynman integrals. Zbl 1295.81114
Weinzierl, Stefan
9
2013
Feynman graphs. Zbl 1308.81142
Weinzierl, Stefan
2
2013
A second-order differential equation for the two-loop sunrise graph with arbitrary masses. Zbl 1275.81069
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
43
2012
Feynman graph polynomials. Zbl 1193.81072
Bogner, Christian; Weinzierl, Stefan
48
2010
Numerical NLO QCD calculations. Zbl 1294.81267
Becker, Sebastian; Reuschle, Christian; Weinzierl, Stefan
14
2010
The MHV Lagrangian for a spontaneously broken gauge theory. Zbl 1291.81426
Buchta, Sebastian; Weinzierl, Stefan
3
2010
Periods and Feynman integrals. Zbl 1214.81096
Bogner, Christian; Weinzierl, Stefan
23
2009
Feynman integrals and multiple polylogarithms. Zbl 1182.81037
Weinzierl, Stefan
2
2009
Resolution of singularities for multi-loop integrals. Zbl 1196.81010
Bogner, Christian; Weinzierl, Stefan
47
2008
The art of computing loop integrals. Zbl 1122.81069
Weinzierl, Stefan
10
2007
The next-to-ladder approximation for linear Dyson-Schwinger equations. Zbl 1248.83037
Bierenbaum, Isabella; Kreimer, Dirk; Weinzierl, Stefan
3
2007
Algebraic algorithms in perturbative calculations. Zbl 1200.81117
Weinzierl, Stefan
1
2007
SUSY ward identities for multi-gluon helicity amplitudes with massive quarks. Zbl 1226.81142
Schwinn, Christian; Weinzierl, Stefan
14
2006
A comparison of efficient methods for the computation of Born gluon amplitudes. Zbl 1226.81139
Dinsdale, Michael; Ternick, Marko; Weinzierl, Stefan
5
2006
Numerical evaluation of multiple polylogarithms. Zbl 1196.65045
Vollinga, Jens; Weinzierl, Stefan
95
2005
Expansion around half-integer values, binomial sums, and inverse binomial sums. Zbl 1071.33018
Weinzierl, Stefan
39
2004
The massless two-loop two-point function. Zbl 1099.81534
Bierenbaum, I.; Weinzierl, S.
23
2003
Nested sums, expansion of transcendental functions, and multiscale multiloop integrals. Zbl 1060.33007
Moch, Sven; Uwer, Peter; Weinzierl, Stefan
98
2002
Symbolic expansion of transcendental functions. Zbl 1001.65025
Weinzierl, Stefan
35
2002
all top 5

Cited by 605 Authors

28 Weinzierl, Stefan
26 Blümlein, Johannes
24 Duhr, Claude
21 Schneider, Carsten
16 Ablinger, Jakob
16 Tancredi, Lorenzo
12 Schlotterer, Oliver
12 Smirnov, Vladimir A.
11 Bogner, Christian
11 Bourjaily, Jacob L.
11 Henn, Johannes M.
11 Johansson, Henrik
11 McLeod, Andrew J.
11 von Hippel, Matt
10 Abreu, Samuel
10 Gehrmann, Thomas
10 Panzer, Erik
10 Smirnov, Aleksandr Vladimirovich
9 De Freitas, Abilio
9 Dixon, Lance J.
9 Mastrolia, Pierpaolo
9 Schönwald, Kay
9 White, Chris D.
8 Britto, Ruth
8 Frellesvig, Hjalte
8 Papathanasiou, Georgios
7 Bork, Leonid V.
7 Brödel, Johannes
7 Del Duca, Vittorio
7 Du, Yi-Jian
7 Gasparotto, Federico
7 Heinrich, Gudrun
7 Shojaei-Fard, Ali
7 Wilhelm, Matthias
6 Adams, Luise
6 Feng, Bo
6 Gardi, Einan
6 He, Song
6 Luna, Andrés
6 Mafra, Carlos R.
6 Mizera, Sebastian
6 Monteiro, Ricardo
6 Naculich, Stephen G.
6 O’connell, Donal
6 Onishchenko, Andrei I.
6 Schlenk, Johannes
6 Vanhove, Pierre
6 Vergu, Cristian
6 Von Manteuffel, Andreas
5 Chiodaroli, Marco
5 Drummond, James M.
5 Dulat, Falko
5 Kälin, Gregor
5 Kerner, Martin
5 Kniehl, Bernd A.
5 Kotikov, Anatoly V.
5 Lee, Roman N.
5 Ochirov, Alexander
5 Peyton Jones, Simon L.
5 Teng, Fei
5 Trnka, Jaroslav
5 Volk, Matthias
4 Arkani-Hamed, Nima
4 Behring, Arnd
4 Ben-Shahar, Maor
4 Boels, Rutger H.
4 Borinsky, Michael
4 Borowka, Sophia
4 Borsten, Leron
4 Chestnov, Vsevolod
4 Chicherin, Dmitry
4 de la Cruz, Leonardo R.
4 Herrmann, Enrico
4 Jiang, Xuhang
4 Kreimer, Dirk
4 Laenen, Eric
4 Mandal, Manoj Kumar
4 Marzucca, Robin
4 Nagy, Silvia
4 Nega, Christoph
4 Nicholson, Isobel
4 Primo, Amedeo
4 Raab, Clemens G.
4 Roiban, Radu
4 Verbeek, Bram
4 Zhang, Yang
3 Bera, Souvik
3 Bjerrum-Bohr, Niels Emil Jannik
3 Bonciani, Roberto
3 Brown, Robert W.
3 Capatti, Zeno
3 Caron-Huot, Simon
3 Carrasco, John Joseph M.
3 Chen, Jiaqi
3 Dlapa, Christoph
3 Elvang, Henriette
3 Festi, Dino
3 Fu, Chih-Hao
3 Goedicke, A.
3 Greynat, David
...and 505 more Authors
all top 5

Cited in 46 Serials

273 Journal of High Energy Physics
45 Nuclear Physics. B
33 Computer Physics Communications
19 Journal of Mathematical Physics
9 International Journal of Modern Physics A
9 Letters in Mathematical Physics
9 Physics Letters. B
8 Communications in Mathematical Physics
7 Journal of Physics A: Mathematical and Theoretical
5 Physics Reports
4 Journal of Symbolic Computation
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Theoretical and Mathematical Physics
3 Journal of Number Theory
2 Classical and Quantum Gravity
2 Linear and Multilinear Algebra
2 Journal of Geometry and Physics
2 Experimental Mathematics
2 The European Physical Journal C. Particles and Fields
2 Communications in Theoretical Physics
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1 Modern Physics Letters A
1 American Mathematical Monthly
1 Fortschritte der Physik
1 Advances in Mathematics
1 Compositio Mathematica
1 Journal of Computational and Applied Mathematics
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Forum Mathematicum
1 Annals of Physics
1 Applicable Algebra in Engineering, Communication and Computing
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Selecta Mathematica. New Series
1 Annals of Mathematics and Artificial Intelligence
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Annals of Combinatorics
1 Mathematica Moravica
1 Lobachevskii Journal of Mathematics
1 Physical Review Letters
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Combinatorics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
all top 5

Cited in 50 Fields

431 Quantum theory (81-XX)
84 Relativity and gravitational theory (83-XX)
49 Number theory (11-XX)
49 Special functions (33-XX)
35 Mechanics of particles and systems (70-XX)
33 Algebraic geometry (14-XX)
29 Numerical analysis (65-XX)
19 Computer science (68-XX)
17 Combinatorics (05-XX)
9 Associative rings and algebras (16-XX)
9 Differential geometry (53-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Approximations and expansions (41-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Partial differential equations (35-XX)
7 Operator theory (47-XX)
6 Functions of a complex variable (30-XX)
6 Algebraic topology (55-XX)
5 Difference and functional equations (39-XX)
4 Field theory and polynomials (12-XX)
4 Ordinary differential equations (34-XX)
4 Sequences, series, summability (40-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Convex and discrete geometry (52-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 Statistics (62-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year