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Weinzierl, Stefan

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Author ID: weinzierl.stefan Recent zbMATH articles by "Weinzierl, Stefan"
Published as: Weinzierl, S.; Weinzierl, Stefan
Documents Indexed: 43 Publications since 2002
Reviewing Activity: 20 Reviews

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 522 times in 270 Documents Cited by Year
Nested sums, expansion of transcendental functions, and multiscale multiloop integrals. Zbl 1060.33007
Moch, Sven; Uwer, Peter; Weinzierl, Stefan
62
2002
Numerical evaluation of multiple polylogarithms. Zbl 1196.65045
Vollinga, Jens; Weinzierl, Stefan
46
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
31
2014
The two-loop sunrise graph with arbitrary masses. Zbl 1282.81193
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
28
2013
Feynman graph polynomials. Zbl 1193.81072
Bogner, Christian; Weinzierl, Stefan
28
2010
Resolution of singularities for multi-loop integrals. Zbl 1196.81010
Bogner, Christian; Weinzierl, Stefan
24
2008
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
23
2015
A second-order differential equation for the two-loop sunrise graph with arbitrary masses. Zbl 1275.81069
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
21
2012
Expansion around half-integer values, binomial sums, and inverse binomial sums. Zbl 1071.33018
Weinzierl, Stefan
21
2004
Symbolic expansion of transcendental functions. Zbl 1001.65025
Weinzierl, Stefan
20
2002
Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality. Zbl 1342.81321
Tolotti, Mathias; Weinzierl, Stefan
18
2013
The iterated structure of the all-order result for the two-loop sunrise integral. Zbl 1333.81283
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
17
2016
Periods and Feynman integrals. Zbl 1214.81096
Bogner, Christian; Weinzierl, Stefan
17
2009
Proof of the fundamental BCJ relations for QCD amplitudes. Zbl 1390.81732
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
16
2015
Feynman integrals and iterated integrals of modular forms. Zbl 1393.81015
Adams, Luise; Weinzierl, Stefan
15
2018
The massless two-loop two-point function. Zbl 1099.81534
Bierenbaum, I.; Weinzierl, S.
15
2003
The kite integral to all orders in terms of elliptic polylogarithms. Zbl 1353.81097
Adams, Luise; Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
14
2016
Fermions and the scattering equations. Zbl 1388.81122
Weinzierl, Stefan
12
2015
Picard-Fuchs equations for Feynman integrals. Zbl 1285.81029
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
12
2014
Tales of 1001 gluons. Zbl 1366.81284
Weinzierl, Stefan
10
2017
SUSY ward identities for multi-gluon helicity amplitudes with massive quarks. Zbl 1226.81142
Schwinn, Christian; Weinzierl, Stefan
10
2006
The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case. Zbl 1398.81097
Adams, Luise; Weinzierl, Stefan
8
2018
Properties of scattering forms and their relation to associahedra. Zbl 1388.81929
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
7
2018
A comparison of efficient methods for the computation of Born gluon amplitudes. Zbl 1226.81139
Dinsdale, Michael; Ternick, Marko; Weinzierl, Stefan
7
2006
Relations for Einstein-Yang-Mills amplitudes from the CHY representation. Zbl 1404.70070
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
6
2017
Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral. Zbl 1373.81293
Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
6
2017
Introduction to Feynman integrals. Zbl 1295.81114
Weinzierl, Stefan
5
2013
Numerical NLO QCD calculations. Zbl 1294.81267
Becker, Sebastian; Reuschle, Christian; Weinzierl, Stefan
5
2010
Rationalizing roots: an algorithmic approach. Zbl 1414.81116
Besier, Marco; van Straten, Duco; Weinzierl, Stefan
4
2019
The art of computing loop integrals. Zbl 1122.81069
Weinzierl, Stefan
3
2007
The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms. Zbl 1371.81143
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
2
2015
The MHV Lagrangian for a spontaneously broken gauge theory. Zbl 1291.81426
Buchta, Sebastian; Weinzierl, Stefan
2
2010
Feynman integrals and multiple polylogarithms. Zbl 1182.81037
Weinzierl, Stefan
2
2009
Algebraic algorithms in perturbative calculations. Zbl 1200.81117
Weinzierl, Stefan
2
2007
Periods and Hodge structures in perturbative quantum field theory. Zbl 1346.81103
Weinzierl, Stefan
1
2015
Review on loop integrals which need regularization but yield finite results. Zbl 1291.81178
Weinzierl, Stefan
1
2014
The next-to-ladder approximation for linear Dyson-Schwinger equations. Zbl 1248.83037
Bierenbaum, Isabella; Kreimer, Dirk; Weinzierl, Stefan
1
2007
Rationalizing roots: an algorithmic approach. Zbl 1414.81116
Besier, Marco; van Straten, Duco; Weinzierl, Stefan
4
2019
Feynman integrals and iterated integrals of modular forms. Zbl 1393.81015
Adams, Luise; Weinzierl, Stefan
15
2018
The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case. Zbl 1398.81097
Adams, Luise; Weinzierl, Stefan
8
2018
Properties of scattering forms and their relation to associahedra. Zbl 1388.81929
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
7
2018
Tales of 1001 gluons. Zbl 1366.81284
Weinzierl, Stefan
10
2017
Relations for Einstein-Yang-Mills amplitudes from the CHY representation. Zbl 1404.70070
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
6
2017
Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral. Zbl 1373.81293
Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
6
2017
The iterated structure of the all-order result for the two-loop sunrise integral. Zbl 1333.81283
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
17
2016
The kite integral to all orders in terms of elliptic polylogarithms. Zbl 1353.81097
Adams, Luise; Bogner, Christian; Schweitzer, Armin; Weinzierl, Stefan
14
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
23
2015
Proof of the fundamental BCJ relations for QCD amplitudes. Zbl 1390.81732
de la Cruz, Leonardo; Kniss, Alexander; Weinzierl, Stefan
16
2015
Fermions and the scattering equations. Zbl 1388.81122
Weinzierl, Stefan
12
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
2
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
31
2014
Picard-Fuchs equations for Feynman integrals. Zbl 1285.81029
Müller-Stach, Stefan; Weinzierl, Stefan; Zayadeh, Raphael
12
2014
Review on loop integrals which need regularization but yield finite results. Zbl 1291.81178
Weinzierl, Stefan
1
2014
The two-loop sunrise graph with arbitrary masses. Zbl 1282.81193
Adams, Luise; Bogner, Christian; Weinzierl, Stefan
28
2013
Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality. Zbl 1342.81321
Tolotti, Mathias; Weinzierl, Stefan
18
2013
Introduction to Feynman integrals. Zbl 1295.81114
Weinzierl, Stefan
5
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
21
2012
Feynman graph polynomials. Zbl 1193.81072
Bogner, Christian; Weinzierl, Stefan
28
2010
Numerical NLO QCD calculations. Zbl 1294.81267
Becker, Sebastian; Reuschle, Christian; Weinzierl, Stefan
5
2010
The MHV Lagrangian for a spontaneously broken gauge theory. Zbl 1291.81426
Buchta, Sebastian; Weinzierl, Stefan
2
2010
Periods and Feynman integrals. Zbl 1214.81096
Bogner, Christian; Weinzierl, Stefan
17
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
24
2008
The art of computing loop integrals. Zbl 1122.81069
Weinzierl, Stefan
3
2007
Algebraic algorithms in perturbative calculations. Zbl 1200.81117
Weinzierl, Stefan
2
2007
The next-to-ladder approximation for linear Dyson-Schwinger equations. Zbl 1248.83037
Bierenbaum, Isabella; Kreimer, Dirk; Weinzierl, Stefan
1
2007
SUSY ward identities for multi-gluon helicity amplitudes with massive quarks. Zbl 1226.81142
Schwinn, Christian; Weinzierl, Stefan
10
2006
A comparison of efficient methods for the computation of Born gluon amplitudes. Zbl 1226.81139
Dinsdale, Michael; Ternick, Marko; Weinzierl, Stefan
7
2006
Numerical evaluation of multiple polylogarithms. Zbl 1196.65045
Vollinga, Jens; Weinzierl, Stefan
46
2005
Expansion around half-integer values, binomial sums, and inverse binomial sums. Zbl 1071.33018
Weinzierl, Stefan
21
2004
The massless two-loop two-point function. Zbl 1099.81534
Bierenbaum, I.; Weinzierl, S.
15
2003
Nested sums, expansion of transcendental functions, and multiscale multiloop integrals. Zbl 1060.33007
Moch, Sven; Uwer, Peter; Weinzierl, Stefan
62
2002
Symbolic expansion of transcendental functions. Zbl 1001.65025
Weinzierl, Stefan
20
2002
all top 5

Cited by 371 Authors

20 Duhr, Claude
15 Weinzierl, Stefan
10 Bogner, Christian
10 Smirnov, Vladimir A.
9 Blümlein, Johannes
9 Schneider, Carsten
9 Tancredi, Lorenzo
8 Bourjaily, Jacob L.
8 Henn, Johannes M.
8 von Hippel, Matt
8 White, Chris D.
7 Abreu, Samuel
7 Del Duca, Vittorio
7 Dixon, Lance J.
7 Gehrmann, Thomas
7 Johansson, Henrik
7 McLeod, Andrew J.
7 Panzer, Erik
7 Schlotterer, Oliver
6 Ablinger, Jakob
6 Adams, Luise
6 Britto, Ruth
6 Lee, Roman N.
6 Papathanasiou, Georgios
6 Smirnov, Aleksandr Vladimirovich
5 Brödel, Johannes
5 Drummond, James M.
5 Dulat, Falko
5 Gardi, Einan
5 Luna, Andrés
5 Mastrolia, Pierpaolo
5 Monteiro, Ricardo
5 Naculich, Stephen G.
5 Ochirov, Alexander
5 O’connell, Donal
4 Boels, Rutger H.
4 Bork, Leonid V.
4 Caron-Huot, Simon
4 He, Song
4 Marzucca, Robin
4 Trnka, Jaroslav
3 Brown, Robert W.
3 Chicherin, Dmitry
3 Chiodaroli, Marco
3 Du, Yi-Jian
3 Frellesvig, Hjalte
3 Heinrich, Gudrun
3 Herrmann, Enrico
3 Körner, J. G.
3 Mafra, Carlos R.
3 Mogull, Gustav
3 Nicholson, Isobel
3 Onishchenko, Andrei I.
3 Pennington, Jeffrey S.
3 Primo, Amedeo
3 Shojaei-Fard, Ali
3 Teng, Fei
3 Verbeek, Bram
3 Volk, Matthias
3 Wilhelm, Matthias
3 Yeats, Karen A.
3 Zhang, Yang
3 Zúñiga-Galindo, Wilson A.
2 Abderramán Marrero, Jesús
2 Arkani-Hamed, Nima
2 Bloch, Spencer J.
2 Bocardo-Gaspar, Miriam
2 Borowka, Sophia
2 Borsten, Leron
2 Brown, Francis C. S.
2 de la Cruz, Leonardo R.
2 Druc, Stefan
2 Elvang, Henriette
2 Feng, Bo
2 Fu, Chih-Hao
2 Greynat, David
2 Groote, Stefan
2 Grozin, Andrey G.
2 Günaydin, Murat
2 Herderschee, Aidan
2 Hirschi, Valentin
2 Hou, Linghui
2 Kälin, Gregor
2 Kalmykov, Mikhail Yu.
2 Kalousios, Chrysostomos
2 Kazakov, Dmitri I.
2 Kiermaier, Michael
2 Klausen, René Pascal
2 Klein, Sebastian
2 Kleinschmidt, Axel
2 Kniehl, Bernd A.
2 Koren, Seth
2 Kotikov, Anatoly V.
2 Laenen, Eric
2 Lee, Kanghoon
2 Lo Presti, N. A.
2 Magnea, Lorenzo
2 Melnikov, Kirill
2 Mizera, Sebastian
2 Moriello, Francesco
...and 271 more Authors
all top 5

Cited in 39 Fields

233 Quantum theory (81-XX)
51 Relativity and gravitational theory (83-XX)
33 Number theory (11-XX)
29 Special functions (33-XX)
19 Mechanics of particles and systems (70-XX)
18 Algebraic geometry (14-XX)
10 Combinatorics (05-XX)
10 Computer science (68-XX)
9 Numerical analysis (65-XX)
8 Associative rings and algebras (16-XX)
7 Differential geometry (53-XX)
4 Functions of a complex variable (30-XX)
4 Approximations and expansions (41-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Partial differential equations (35-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Operator theory (47-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Field theory and polynomials (12-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year