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Broadhurst, David John

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Author ID: broadhurst.david-j Recent zbMATH articles by "Broadhurst, David John"
Published as: Broadhurst, D. J.; Broadhurst, David; Broadhurst, David J.
External Links: Wikidata
Documents Indexed: 21 Publications since 1995
Co-Authors: 11 Co-Authors with 18 Joint Publications
398 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 616 times in 434 Documents Cited by Year
Special values of multiple polylogarithms. Zbl 1002.11093
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
119
2001
The multiple zeta value data mine. Zbl 1221.11183
Blümlein, J.; Broadhurst, D. J.; Vermaseren, J. A. M.
82
2010
Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops. Zbl 0946.81028
Broadhurst, D. J.; Kreimer, D.
80
1997
Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\). Zbl 0884.40004
Borwein, J. M.; Bradley, D. M.; Broadhurst, D. J.
69
1997
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
41
2008
Combinatorial aspects of multiple zeta values. Zbl 0904.05012
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
34
1998
Parallel integer relation detection: techniques and applications. Zbl 1037.11090
Bailey, David H.; Broadhurst, David J.
31
2001
Knots and numbers in \(\phi^4\) theory to \(7\) loops and beyond. Zbl 0940.81520
Broadhurst, D. J.; Kreimer, D.
29
1995
Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality. Zbl 1043.81049
Broadhurst, D. J.; Kreimer, D.
27
2001
Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045
Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
25
2001
Multiple zeta values and modular forms in quantum field theory. Zbl 1308.81129
Broadhurst, David
16
2013
Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation. Zbl 1049.81569
Broadhurst, D. J.; Kreimer, D.
13
2000
Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees. Zbl 0986.16015
Broadhurst, D. J.; Kreimer, D.
13
2000
Feynman integrals, \(L\)-series and Kloosterman moments. Zbl 1362.81072
Broadhurst, David
13
2016
Renormalization automated by Hopf algebra. Zbl 1049.81048
Broadhurst, D. J.; Kreimer, D.
11
1999
Where do the tedious products of \(\zeta\)’s come from? Zbl 1030.81015
Broadhurst, D. J.
6
2003
Experimental mathematics and mathematical physics. Zbl 1221.82006
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
3
2010
A magnetic double integral. Zbl 1470.11068
Broadhurst, David; Zudilin, Wadim
2
2019
Bjorken unpolarized and polarized sum rules: Comparative analysis of large-\(N_F\) expansions. Zbl 0997.81598
Broadhurst, D. J.; Kataev, A. L.
1
2002
Feynman diagrams as a weight system: four-loop test of a four-term relation. Zbl 1049.81568
Broadhurst, D. J.; Kreimer, D.
1
1998
A magnetic double integral. Zbl 1470.11068
Broadhurst, David; Zudilin, Wadim
2
2019
Feynman integrals, \(L\)-series and Kloosterman moments. Zbl 1362.81072
Broadhurst, David
13
2016
Multiple zeta values and modular forms in quantum field theory. Zbl 1308.81129
Broadhurst, David
16
2013
The multiple zeta value data mine. Zbl 1221.11183
Blümlein, J.; Broadhurst, D. J.; Vermaseren, J. A. M.
82
2010
Experimental mathematics and mathematical physics. Zbl 1221.82006
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
3
2010
Elliptic integral evaluations of Bessel moments and applications. Zbl 1152.33003
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Glasser, M. L.
41
2008
Where do the tedious products of \(\zeta\)’s come from? Zbl 1030.81015
Broadhurst, D. J.
6
2003
Bjorken unpolarized and polarized sum rules: Comparative analysis of large-\(N_F\) expansions. Zbl 0997.81598
Broadhurst, D. J.; Kataev, A. L.
1
2002
Special values of multiple polylogarithms. Zbl 1002.11093
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
119
2001
Parallel integer relation detection: techniques and applications. Zbl 1037.11090
Bailey, David H.; Broadhurst, David J.
31
2001
Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality. Zbl 1043.81049
Broadhurst, D. J.; Kreimer, D.
27
2001
Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045
Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
25
2001
Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation. Zbl 1049.81569
Broadhurst, D. J.; Kreimer, D.
13
2000
Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees. Zbl 0986.16015
Broadhurst, D. J.; Kreimer, D.
13
2000
Renormalization automated by Hopf algebra. Zbl 1049.81048
Broadhurst, D. J.; Kreimer, D.
11
1999
Combinatorial aspects of multiple zeta values. Zbl 0904.05012
Borwein, Jonathan M.; Bradley, David M.; Broadhurst, David J.; Lisoněk, Petr
34
1998
Feynman diagrams as a weight system: four-loop test of a four-term relation. Zbl 1049.81568
Broadhurst, D. J.; Kreimer, D.
1
1998
Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops. Zbl 0946.81028
Broadhurst, D. J.; Kreimer, D.
80
1997
Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\). Zbl 0884.40004
Borwein, J. M.; Bradley, D. M.; Broadhurst, D. J.
69
1997
Knots and numbers in \(\phi^4\) theory to \(7\) loops and beyond. Zbl 0940.81520
Broadhurst, D. J.; Kreimer, D.
29
1995
all top 5

Cited by 428 Authors

25 Xu, Ce
22 Borwein, Jonathan Michael
16 Bailey, David Harold
16 Eie, Minking
10 Hoffman, Michael E.
10 Schlotterer, Oliver
10 Weinzierl, Stefan
9 Blümlein, Johannes
9 Bradley, David M.
9 Guo, Li
8 Bogner, Christian
8 Brown, Francis C. S.
8 Foissy, Loïc
8 Yeats, Karen A.
7 Ablinger, Jakob
7 Bellon, Marc P.
7 Straub, Armin
6 Adams, Luise
6 Chen, Kwang-Wu
6 Kreimer, Dirk
6 Liaw, Wen-Chin
6 Panzer, Erik
6 Schneider, Carsten
6 Shojaei-Fard, Ali
6 von Hippel, Matt
6 Zhou, Yajun
5 Broadhurst, David John
5 Chung, Chan-Liang
5 Clavier, Pierre J.
5 Dixon, Lance J.
5 Mafra, Carlos R.
5 Ong, Yaolin
4 Bachmann, Henrik
4 Bloch, Spencer J.
4 Borinsky, Michael
4 Chu, Wenchang
4 D’Hoker, Eric
4 Drummond, James M.
4 Dunne, Gerald V.
4 Genčev, Marian
4 Hirose, Minoru
4 Kuba, Markus F.
4 Lalín, Matilde Noemí
4 Lee, Tung-Yang
4 Li, Zhong-Hua
4 McLeod, Andrew J.
4 Sato, Nobuo
4 Vanhove, Pierre
4 Vermaseren, Jos A. M.
4 Zhang, Bin
3 Bourjaily, Jacob L.
3 Brödel, Johannes
3 Coffey, Mark William
3 Crandall, Richard E.
3 Duhr, Claude
3 Ebrahimi-Fard, Kurusch
3 Frellesvig, Hjalte
3 Gracia-Bondía, José M.
3 Harada, Ryotaro
3 Ihara, Kentaro
3 Kalmykov, Mikhail Yu.
3 Kniehl, Bernd A.
3 Komori, Yasushi
3 Kotikov, Anatoly V.
3 Kotsireas, Ilias S.
3 Marboe, Christian
3 Marcolli, Matilde
3 Matsumoto, Kohji
3 Matthes, Nils
3 Ohno, Yasuo
3 Pennington, Jeffrey S.
3 Singer, Johannes Maria
3 Stieberger, Stephan
3 Thibon, Jean-Yves
3 Tsumura, Hirofumi
3 Vergu, Cristian
3 Volin, Dmytro
3 Wan, James Gu Feng
3 Wei, Chuan-Sheng
3 Wulkenhaar, Raimar
3 Zhang, Mingyu
3 Zhao, Jianqiang
2 Baikov, P. A.
2 Boels, Rutger H.
2 Borwein, David
2 Bowman, Douglas C.
2 Charlton, Steven
2 Chetyrkin, K. G.
2 Choi, Junesang
2 Duchamp, Gerard Henry Edmond
2 Enjalbert, Jean-Yves
2 Figueroa, Héctor
2 Green, Michael B.
2 Hessami Pilehrood, Khodabakhsh
2 Hessami Pilehrood, Tatiana
2 Hoang Ngoc Minh, Vincel
2 Kaidi, Justin
2 Klein, Sebastian
2 Laporta, Stefano
2 Li, Jiangtao
...and 328 more Authors
all top 5

Cited in 133 Serials

40 Journal of High Energy Physics
36 Journal of Number Theory
17 Nuclear Physics. B
15 Journal of Mathematical Physics
15 The Ramanujan Journal
15 International Journal of Number Theory
11 Advances in Mathematics
10 Letters in Mathematical Physics
10 Journal of Algebra
9 Communications in Mathematical Physics
7 International Journal of Modern Physics A
7 Journal of Mathematical Analysis and Applications
6 Computer Physics Communications
6 Journal of Symbolic Computation
6 Experimental Mathematics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Mathematics of Computation
5 Mathematische Zeitschrift
5 Journal de Théorie des Nombres de Bordeaux
4 Modern Physics Letters A
4 Discrete Mathematics
4 Journal of Computational and Applied Mathematics
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Advances in Applied Mathematics
4 The Electronic Journal of Combinatorics
3 Rocky Mountain Journal of Mathematics
3 Applied Mathematics and Computation
3 Functiones et Approximatio. Commentarii Mathematici
3 Manuscripta Mathematica
3 European Journal of Combinatorics
3 Integral Transforms and Special Functions
3 Journal of the Australian Mathematical Society
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Physics Letters. B
2 Physics Reports
2 Theoretical and Mathematical Physics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Journal of Approximation Theory
2 Monatshefte für Mathematik
2 Theoretical Computer Science
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Algebraic Combinatorics
2 Kyushu Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Documenta Mathematica
2 Abstract and Applied Analysis
2 Mathematical Physics, Analysis and Geometry
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Mediterranean Journal of Mathematics
2 Journal of Physics A: Mathematical and Theoretical
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Forum of Mathematics, Sigma
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
2 European Journal of Mathematics
1 American Mathematical Monthly
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Fortschritte der Physik
1 Acta Arithmetica
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Programming and Computer Software
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Journal of the Ramanujan Mathematical Society
1 Journal of Risk and Uncertainty
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 SIAM Journal on Scientific Computing
1 Nuclear Physics. B. Proceedings Supplements
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Filomat
1 Opuscula Mathematica
...and 33 more Serials
all top 5

Cited in 48 Fields

242 Number theory (11-XX)
168 Quantum theory (81-XX)
113 Special functions (33-XX)
81 Combinatorics (05-XX)
51 Associative rings and algebras (16-XX)
29 Algebraic geometry (14-XX)
28 Sequences, series, summability (40-XX)
20 Relativity and gravitational theory (83-XX)
19 Nonassociative rings and algebras (17-XX)
16 Numerical analysis (65-XX)
16 Computer science (68-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Probability theory and stochastic processes (60-XX)
7 Functions of a complex variable (30-XX)
6 Category theory; homological algebra (18-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 History and biography (01-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Commutative algebra (13-XX)
5 Ordinary differential equations (34-XX)
5 Partial differential equations (35-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Approximations and expansions (41-XX)
5 Integral transforms, operational calculus (44-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functional analysis (46-XX)
3 \(K\)-theory (19-XX)
3 Group theory and generalizations (20-XX)
3 Differential geometry (53-XX)
3 Manifolds and cell complexes (57-XX)
2 General and overarching topics; collections (00-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
2 Optics, electromagnetic theory (78-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year

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