David J. Broadhurst

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All published works

Action	Title	Year	Authors
+	3-loop tadpoles with substructure from 12 elliptic curves	2023	David J. Broadhurst
+	Richard Feynman's talent for finding things out	2023	D.J. Broadhurst
+	Resonant resurgent asymptotics from quantum field theory	2022	Michael Borinsky D.J. Broadhurst
+	Large Tate--Shafarevich orders from good $abc$ triples	2021	David J. Broadhurst
+ PDF Chat	Empirical Determinations of Feynman Integrals Using Integer Relation Algorithms	2021	Kevin Acres D.J. Broadhurst
+ PDF Chat	A MAGNETIC DOUBLE INTEGRAL	2019	D.J. Broadhurst Wadim Zudilin
+	Eta Quotients and Rademacher Sums	2019	Kevin Acres D.J. Broadhurst
+ PDF Chat	L-Series and Feynman Integrals	2019	D.J. Broadhurst David P. Roberts
+	Eta Quotients and Rademacher Sums	2019	Kevin Acres D.J. Broadhurst
+	Quadratic relations between Feynman integrals	2018	D.J. Broadhurst
+	Perturbative quantum field theory informs algebraic geometry	2016	D.J. Broadhurst Anton Mellit
+	Massless scalar Feynman diagrams: five loops and beyond	2016	D.J. Broadhurst
+	Feynman integrals, L-series and Kloosterman moments	2016	D.J. Broadhurst
+ PDF Chat	Feynman integrals, L-series and Kloosterman moments	2016	D.J. Broadhurst
+	Massless scalar Feynman diagrams: five loops and beyond	2016	David J. Broadhurst
+	Tests of Conjectures on Multiple Watson Values	2015	David J. Broadhurst
+	Multiple Landen values and the tribonacci numbers	2015	David J. Broadhurst
+	Multiple Deligne values: a data mine with empirically tamed denominators	2014	David J. Broadhurst
+	Algebraic geometry informs perturbative quantum field theory	2014	David J. Broadhurst Oliver Schnetz
+	Algebraic geometry informs perturbative quantum field theory	2014	D.J. Broadhurst
+	Multiple Zeta Values and Modular Forms in Quantum Field Theory	2013	D.J. Broadhurst
+	Feynman integrals inside Dirichlet's critical strip	2012	David J. Broadhurst
+ PDF Chat	Exponential suppression with four legs and an infinity of loops	2010	D.J. Broadhurst A. I. Davydychev
+	Feynman's sunshine numbers	2010	David J. Broadhurst
+	Dickman polylogarithms and their constants	2010	David J. Broadhurst
+ PDF Chat	Experimental mathematics and mathematical physics	2010	David H. Bailey Jonathan M. Borwein D.J. Broadhurst Wadim Zudilin
+ PDF Chat	The Multiple Zeta Value data mine	2009	J. Blümlein D.J. Broadhurst J.A.M. Vermaseren
+	Experimental Mathematics and Mathematical Physics	2009	David H. Bailey Jonathan M. Borwein David J. Broadhurst Wadim Zudilin
+	Elliptic integral evaluation of a Bessel moment by contour integration of a lattice Green function	2008	David J. Broadhurst
+	Solutions by radicals at singular values k_N from new class invariants for N \equiv 3 mod 8	2008	David J. Broadhurst
+ PDF Chat	Where do the tedious products of ζ's come from?	2003	D.J. Broadhurst
+ PDF Chat	Bjorken unpolarized and polarized sum rules: comparative analysis of large-NF expansions	2002	D.J. Broadhurst A. L. Kataev
+ PDF Chat	Exact solutions of Dyson–Schwinger equations for iterated one-loop integrals and propagator-coupling duality	2001	D.J. Broadhurst Dirk Kreimer
+ PDF Chat	Central Binomial Sums, Multiple Clausen Values, and Zeta Values	2001	Jonathan M. Borwein D.J. Broadhurst Joel Kamnitzer
+ PDF Chat	Renormalons and multi-loop estimates in scalar correlators, Higgs decay and quark-mass sum rules	2001	D.J. Broadhurst A. L. Kataev C.J. Maxwell
+	Special values of multiple polylogarithms	2000	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk
+	Parallel integer relation detection: Techniques and applications	2000	David H. Bailey D.J. Broadhurst
+ PDF Chat	Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation	2000	D.J. Broadhurst Dirk Kreimer
+ PDF Chat	Four-loop Dyson–Schwinger–Johnson anatomy	1999	D.J. Broadhurst
+	Renormalization Automated by Hopf Algebra	1999	D.J. Broadhurst Dirk Kreimer
+	Parallel Integer Relation Detection: Techniques and Applications	1999	David H. Bailey D.J. Broadhurst
+	Massive 3-loop Feynman diagrams reducible to SC	1999	D.J. Broadhurst
+	A seventeenth-order polylogarithm ladder	1999	David H. Bailey D.J. Broadhurst
+	Parallel Integer Relation Detection: Techniques and Applications	1999	David H. Bailey D.J. Broadhurst
+	Special Values of Multiple Polylogarithms	1999	Jonathan M. Borwein David M. Bradley David J. Broadhurst Petr Lisoněk
+	A dilogarithmic 3-dimensional ising tetrahedron	1999	D.J. Broadhurst
+ PDF Chat	Compact analytical form for non-zeta terms in critical exponents at order 1/N3	1998	D.J. Broadhurst A. V. Kotikov
+ PDF Chat	Combinatorial Aspects of Multiple Zeta Values	1998	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk
+ PDF Chat	Feynman diagrams as a weight system: four-loop test of a four-term relation	1998	D.J. Broadhurst Dirk Kreimer
+	Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $\zeta(3)$ and $\zeta(5)$	1998	David J. Broadhurst
+	Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links	1998	Jonathan M. Borwein David J. Broadhurst
+	Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $ζ(3)$ and $ζ(5)$	1998	David J. Broadhurst
+	Conjectured enumeration of Vassiliev invariants	1997	David J. Broadhurst
+	Beyond the triangle and uniqueness relations: non-zeta counterterms at large $N$ from positive knots	1997	D.J. Broadhurst J. A. Gracey Dirk Kreimer
+ PDF Chat	Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops	1997	D.J. Broadhurst Dirk Kreimer
+	Conjectured enumeration of Vassiliev invariants	1997	David J. Broadhurst
+	Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams	1996	David J. Broadhurst
+	On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory	1996	David J. Broadhurst
+	Beyond the triangle and uniqueness relations: non-zeta counterterms at large N from positive knots	1996	D.J. Broadhurst J. A. Gracey Dirk Kreimer
+	Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k	1996	Jonathan M. Borwein David M. Bradley David J. Broadhurst
+ PDF Chat	Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond	1995	D.J. Broadhurst Andrey Grozin
+ PDF Chat	Knots and Numbers in ϕ<sup>4</sup> Theory to 7 Loops and Beyond	1995	David J. Broadhurst Dirk Kreimer
+ PDF Chat	Two-loop gluon-condensate contributions to heavy-quark current correlators: exact results and approximations	1994	D.J. Broadhurst P.A. Baikov V.A. Ilyin J. Fleischer O.V. Tarasov Vladimir A. Smirnov
+ PDF Chat	Analytical on-shell QED results: 3-loop vacuum polarization, 4-loop β-function and the muon anomaly	1993	D.J. Broadhurst A. L. Kataev O.V. Tarasov
+ PDF Chat	Operator product expansion in static-quark effective field theory. Large perturbative correction	1992	D.J. Broadhurst Andrey Grozin
+ PDF Chat	Two-loop renormalization of the effective field theory of a static quark	1991	D.J. Broadhurst Andrey Grozin
+	General bounds on form factors and propagators from analyticity and unitarity: Application to the nucleon renormalization constant	1977	Varouzhan Baluni David J. Broadhurst

Common Coauthors

Coauthor	Papers Together
Dirk Kreimer	8
Jonathan M. Borwein	8
David H. Bailey	6
David M. Bradley	4
Petr Lisoněk	3
Kevin Acres	3
A. L. Kataev	3
Wadim Zudilin	3
Andrey Grozin	3
J. A. Gracey	2
O.V. Tarasov	2
Oliver Schnetz	1
Jochem Fleischer	1
David P. Roberts	1
Varouzhan Baluni	1
C.J. Maxwell	1
A. I. Davydychev	1
J. Blümlein	1
Vladimir A. Smirnov	1
Joel Kamnitzer	1
J.A.M. Vermaseren	1
Michael Borinsky	1
A. V. Kotikov	1
Anton Mellit	1
V.A. Ilyin	1
P. A. Baikov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops	1997	D.J. Broadhurst Dirk Kreimer	22
+ PDF Chat	Knots and Numbers in ϕ<sup>4</sup> Theory to 7 Loops and Beyond	1995	David J. Broadhurst Dirk Kreimer	17
+ PDF Chat	Massive 3-loop Feynman diagrams reducible to SC $^*$ primitives of algebras of the sixth root of unity	1999	D. J. Broadhurst	15
+ PDF Chat	Evaluations of $k$-fold Euler/Zagier sums: a compendium of results for arbitrary $k$	1996	Jonathan M. Borwein David M. Bradley D. J. Broadhurst	14
+ PDF Chat	Elliptic integral evaluations of Bessel moments and applications	2008	David H. Bailey Jonathan M. Borwein David Broadhurst M. L. Glasser	12
+ PDF Chat	The Multiple Zeta Value data mine	2009	J. Blümlein D.J. Broadhurst J.A.M. Vermaseren	12
+ PDF Chat	Analysis of PSLQ, an integer relation finding algorithm	1999	Helaman Ferguson David A. Bailey Steve Arno	11
+	Beyond the triangle and uniqueness relations: non-zeta counterterms at large $N$ from positive knots	1997	D.J. Broadhurst J. A. Gracey Dirk Kreimer	11
+	Polylogarithms and Associated Functions	1981	L. Lewin	11
+ PDF Chat	Evaluation of Triple Euler Sums	1996	Jonathan M. Borwein Roland Girgensohn	8
+	The Algebra of Multiple Harmonic Series	1997	Michael E. Hoffman	8
+	Parallel integer relation detection: Techniques and applications	2000	David H. Bailey D.J. Broadhurst	8
+	Values of Zeta Functions and Their Applications	1994	Don Zagier	8
+ PDF Chat	Combinatorial Aspects of Multiple Zeta Values	1998	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	8
+	Special values of multiple polylogarithms	2000	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	8
+	On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory	1996	David J. Broadhurst	8
+ PDF Chat	Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension	1993	D. J. Broadhurst J. Fleischer O.V. Tarasov	7
+ PDF Chat	Factoring polynomials with rational coefficients	1982	A. K. Lenstra H. W. Lenstra László Lovász	7
+ PDF Chat	Unknotting the polarized vacuum of quenched QED	1996	D. J. Broadhurst R. Delbourgo Dirk Kreimer	7
+	Algebraic geometry informs perturbative quantum field theory	2014	David J. Broadhurst Oliver Schnetz	6
+ PDF Chat	A Feynman integral via higher normal functions	2015	Spencer Bloch Matt Kerr Pierre Vanhove	6
+ PDF Chat	Feynman integrals, L-series and Kloosterman moments	2016	D.J. Broadhurst	6
+	Quantum Groups	1994	Christian Kassel	6
+ PDF Chat	Explicit evaluation of Euler sums	1995	David Borwein Jonathan M. Borwein Roland Girgensohn	6
+ PDF Chat	Knots and divergences	1995	Dirk Kreimer	6
+ PDF Chat	Multiple harmonic series	1992	Michael E. Hoffman	5
+ PDF Chat	Habilitationsschrift: Renormalization and Knot Theory	1996	Dirk Kreimer	5
+ PDF Chat	Dimensional renormalization: Ladders and rainbows	1996	R. Delbourgo A. C. Kalloniatis G.E. Thompson	5
+	High-precision calculation of the 4-loop contribution to the electron g -2 in QED	2017	S. Laporta	5
+	<i>Generalized Hypergeometric Functions</i>	1967	L. J. Slater Werner C. Rheinboldt	5
+ PDF Chat	Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond	1995	D.J. Broadhurst Andrey Grozin	5
+ PDF Chat	On the Hopf algebra structure of perturbative quantum field theories	1998	Dirk Kreimer	5
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	5
+	Algebraic geometry informs perturbative quantum field theory	2014	D.J. Broadhurst	5
+ PDF Chat	Hopf Algebras, Renormalization and Noncommutative Geometry	1998	Alain Connes Dirk Kreimer	5
+ PDF Chat	Wrońskian factorizations and Broadhurst–Mellit determinant formulae	2018	Yajun Zhou	4
+	Structural Properties of Polylogarithms	1991	L. Lewin	4
+	Weight Systems from Feynman Diagrams	1998	Dirk Kreimer	4
+	Integrals of the Ising class	2006	David H. Bailey Jonathan M. Borwein Richard E. Crandall	4
+ PDF Chat	The elliptic dilogarithm for the sunset graph	2014	Spencer Bloch Pierre Vanhove	4
+ PDF Chat	Renormalization and Knot Theory	1997	Dirk Kreimer	4
+ PDF Chat	Some Algebraic and Arithmetic Properties of Feynman Diagrams	2019	Yajun Zhou	4
+ PDF Chat	A K3 in ϕ4	2012	Francis Brown Oliver Schnetz	4
+	Perturbative quantum field theory informs algebraic geometry	2016	D.J. Broadhurst Anton Mellit	4
+ PDF Chat	Dimensional renormalization in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>theory: Ladders and rainbows	1997	R. Delbourgo David Elliott D. S. McAnally	4
+	Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams	1996	David J. Broadhurst	4
+ PDF Chat	Proof of the Bogoliubov-Parasiuk theorem on renormalization	1966	K. Hepp	3
+	Triple Sums and the Riemann Zeta Function	1994	Clemens Markett	3
+	A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values	1999	Yasuo Ohno	3
+ PDF Chat	The four-loop β-function in quantum chromodynamics	1997	Timo van Ritbergen J.A.M. Vermaseren S.A. Larin	3