Compute Distance To:
 Documents Indexed: 21 Publications since 1995 Co-Authors: 11 Co-Authors with 18 Joint Publications 398 Co-Co-Authors
all top 5

### Co-Authors

 3 single-authored 7 Kreimer, Dirk 6 Borwein, Jonathan Michael 3 Bailey, David Harold 3 Bradley, David M. 2 Lisoněk, Petr 2 Zudilin, Wadim 1 Acres, Kevin 1 Blümlein, Johannes 1 Kamnitzer, Joel 1 Kataev, A. L. 1 Vermaseren, Jos A. M.
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### Serials

 4 Physics Letters. B 2 The Electronic Journal of Combinatorics 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Nuclear Physics. B 1 Mathematics of Computation 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Experimental Mathematics 1 Nuclear Physics. B. Proceedings Supplements 1 International Journal of Modern Physics C 1 Journal of the Australian Mathematical Society 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Number Theory and Physics
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### Fields

 12 Quantum theory (81-XX) 9 Number theory (11-XX) 5 Special functions (33-XX) 4 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Algebraic geometry (14-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Relativity and gravitational theory (83-XX)

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

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