Symbolic integration and multiple polylogarithms

N. Nielsen, Der Eulersche Dilogarithmus und seine Verallgemeinerungen , Nova Acta Leopoldina (Halle) 90 (1909) 123

1909

Earlier work this paper cites.

G. Racah, Sopra l’irradiazione nell’urto di particelle veloci , Nuovo Cimento 11,461 (1934); also see the corresponding remark in the introduction of [ 29 ]

1934

Earlier work this paper cites.

I. Lappo-Danilevskii, Mémoires sur la théorie des systèmes des équations différentielles linéaires , Chelsea, New York (1953)

1953

Earlier work this paper cites.

K. S. Kölbig, J. A. Mignaco and E. Remiddi, On Nielsen’s generalized polylogarithms and their numerical calculation , B.I.T. 10, 38 (1970)

1970

Earlier work this paper cites.

N. Nakanishi, Graph Theory and Feynman Integrals , Gordon and Breach, 1971

1971

Earlier work this paper cites.

K. T. Chen, Iterated path integrals , Bull. Amer. Math. Soc. 83, (1977), 831-879

1977

Earlier work this paper cites.

K. G. Chetyrkin and F. T. Tkatchov, Integration by parts: The algorithm to calculate β {\beta} -functions in 4 loops , Nucl. Phys. B192 (1981), 159

1981

Earlier work this paper cites.

L. Lewin, Polylogarithms and Associated Functions , North Holland 1981

1981

Cited alongside, same era.

E. Remiddi and J. A. M. Vermaseren, Harmonic Polylogarithms , Int. J. Mod. Phys. A15 (2000) 725-754, [hep-ph/9905237]

2000

Cited alongside, same era.

J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek, Special values of Multidimensional Polylogarithms , Trans. Amer. Math. Soc. 353 (2001), 907-941

2001

Cited alongside, same era.

T. Gehrmann and E. Remiddi, Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms , Comput. Phys. Commun. 144 (2002) 200-223, [hep-ph/0111255]

2002

Cited alongside, same era.

U. Aglietti and R. Bonciani, Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor - planar case , Nucl. Phys. B698 (2004), 277-318, [hep-ph/0401193]

2004

Cited alongside, same era.

F. Brown, Multiple zeta values and periods of moduli spaces M 0 , n M_{0,n} , Ann. Sci. Éc. Norm. Supér. (4) 42 (2009), 371-489, [math.AG/0606419]

2009

Later among the works it cites.

F. Brown, The massless higher-loop two-point function , Commun. Math. Phys. 287:925-958,2009, [math.AG/0804.1660]

2009

Later among the works it cites.

C. Bogner and S. Weinzierl, Feynman graph polynomials , Int. J. Mod. Phys. A25 (2010) 2585-2618, [hep-ph/1002.3458]

2010

Later among the works it cites.

F. Brown, S. Carr and L. Schneps, The algebra of cell-zeta values , Compositio Math. 146 (2010), 731-771, [math.NT/0910.0122]

2010

Later among the works it cites.

G. Felder and T. Willwacher, On the (ir)rationality of Kontsevich weights , Int. Math. Res. Not. IMRN 2010, no. 4, 701-716, [math.QA/0808.2762v2]

2010

Later among the works it cites.