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The computation of Feynman integrals in massive higher order perturbative calculations in renormalizable Quantum Field Theories requires extensions of multiply nested harmonic sums, which can be generated as real representations by Mellin transforms of Poincar\'e--iterated integrals including denominators of higher cyclotomic polynomials.
E. Landau, Über die Grundlagen der Theorie der Fakultätenreihen
1906
Earlier work this paper cites.
N. Nielsen, Traité élémentaire des nombres de Bernoulli
1923
Earlier work this paper cites.
T. Nagell, Introduction to Number Theory
1951
Earlier work this paper cites.
H. Poincaré, Acta Math. 4
1953
Earlier work this paper cites.
E. Witt, Journ. Reine und Angew. Mathematik, 177
1956
Earlier work this paper cites.
H. Lugowski, J. Weinert, Grundzüge der Algebra
1960
Earlier work this paper cites.
N. Nielsen, Handbuch der Theorie der Gammafunktion
1965
Earlier work this paper cites.
P. Appell, Sur Les Fonctions Hypérgéometriques de Plusieurs Variables
1966
Earlier work this paper cites.
G. ’t Hooft, M. J. G. Veltman, Nucl. Phys. B44
1972
Earlier work this paper cites.
C. G. Bollini, J. J. Giambiagi, Nuovo Cim. B12
1972
Earlier work this paper cites.
P.F. Jordan, Bull. Am. Math. Soc. 79
1973
Earlier work this paper cites.
Ch. Hermite, Comptes Rendus Acad. Sci. Paris, 77
1975
Earlier work this paper cites.
A. Hurwitz, Zeitschr. f. Mathematik u. Physik 27
1976
Earlier work this paper cites.
G. ’t Hooft, M. J. G. Veltman, Nucl. Phys. B153
1979
Earlier work this paper cites.
A.F. Möbius, J. reine angew. Math. 9
1979
Earlier work this paper cites.
B.C. Berndt, Ramanujan’s Notebooks
1985
Earlier work this paper cites.
N. Nielsen, Der Eulersche Dilogarithmus und seine Verallgemeinerungen
1986
Earlier work this paper cites.
R. Sitaramachandrarao, J. Number Theory. 25
1987
Earlier work this paper cites.
C. Reutenauer, Free Lie Algebras
1993
Earlier work this paper cites.
L. Euler, Novi Comm. Acad. Sci. Petropol. 20
1994
Earlier work this paper cites.
A.N. Kirillov, Progr. Theor. Phys. Suppl. 118
1995
Earlier work this paper cites.
K. S. Kölbig, J. Comput. Appl. Math. 75
1996
Cited alongside, same era.
A.B. Goncharov, Mathematical Research Letters 5
1998
Cited alongside, same era.
J. Miller and V.S. Adamchik, J. Comp. and Applied Math., 100
1998
Cited alongside, same era.
J. Blümlein and S. Kurth, Phys. Rev. D 60
1999
Cited alongside, same era.
D. J. Broadhurst, Eur. Phys. J. C 8
1999
Cited alongside, same era.
E. Remiddi and J. A. M. Vermaseren, Int. J. Mod. Phys. A 15
2000
Cited alongside, same era.
K. G. Chetyrkin, M. Steinhauser, Nucl. Phys. B573
2000
Cited alongside, same era.
O. M. Ogreid, P. Osland, J. Comput. Appl. Math. 98
2005
Later among the works it cites.
L. Lewin, Dilogarithms and Associated Functions
2006
Later among the works it cites.
L. Euler, Novi Commentarii academiae scientiarum imperialis Petropolitanae 8
2007
Later among the works it cites.
D. Cvijović and J. Klinkowski, Mathematics of Computation, 68
2007
Later among the works it cites.
J. Blümlein, Comput. Phys. Commun. 180
2009
Later among the works it cites.
S. Weinzierl, J. Math. Phys. 45
2009
Later among the works it cites.
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A. Migotti, Sitzber. Math.-Naturwiss. Classe der Kaiser. Akad. der Wiss. Wien 87
2000
Cited alongside, same era.
T. Gehrmann and E. Remiddi, Comput. Phys. Commun. 141
2001
Cited alongside, same era.
A. I. Davydychev, M. Y. Kalmykov, Nucl. Phys. B605
2001
Cited alongside, same era.
H.M. Srivastave and Junesang Choi, Series Associated with the Zeta and Related Functions
2001
Cited alongside, same era.
G. Racinet, Comptes rendus de l’Académie des sciences. Série 1, Mathématique, 333
2001
Cited alongside, same era.
J. Blümlein, Comput. Phys. Commun. 180
2009
Later among the works it cites.
J. Blümlein, Comput. Phys. Commun. 133
2009
Later among the works it cites.
M.W. Coffey, J. Math. Phys. 49
2009
Later among the works it cites.
D. J. Broadhurst, [hep-th/9604128]; D. J. Broadhurst, D. Kreimer, Phys. Lett. B393
2010
Later among the works it cites.
2010
Later among the works it cites.
[arXiv:0808.2543v1]; Ann. Comb. 9 (2005) 75; J. Differ. Equations Appl. 11 (2005) 799; Ann. Comb. 14
C. Schneider, J. Symbolic Comput. 43 (2008) 611, · 2010
Later among the works it cites.
2010
Later among the works it cites.
J. Blümlein, Structural Relations of Harmonic Sums and Mellin Transforms at Weight w=6
2010
Later among the works it cites.
L. G. Almeida, C. Sturm, Phys. Rev. D82
2010
Later among the works it cites.
M. Lerch, L’Enseignement Mathématique 5
2010
Later among the works it cites.
P. Deligne, Publications Mathématiques de l’Institut des Hautes Études Scientifiques, (2010) 101. http://www.math.ias.edu/people/faculty/deligne/preprints
2010
Later among the works it cites.
M. Y. Kalmykov, B. A. Kniehl, Nucl. Phys. Proc. Suppl. 205-206
2010
Later among the works it cites.
J. Ablinger, J. Blümlein, S. Klein, C. Schneider and F. Wissbrock, Nucl. Phys. B 844
2011
Closest in time.
J. A. M. Vermaseren, Int. J. Mod. Phys. A 14
2037
Closest in time.