Harmonic polylogarithms

International Journal of Modern Physics A

Volumn 15, Issue 5, 2000, Pages 725-754

  Remiddi, E ^a,b   Vermaseren, J A M ^c  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c NIKHEF   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELEMENTARY PARTICLE; MATHEMATICAL ANALYSIS; NUCLEAR PHYSICS; PHYSICS; WEIGHT;

EID: 0034688576     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X00000367     Document Type: Article

References (14)

1. G. Racah, Nuovo Cimento 11, 461 (1934).
2. K. S. Kölbig, J. A. Mignaco and E. Remiddi, On Nielsen's Generalized Polylogarithms and their Numerical Calculation B.I.T. 10, 38 (1970); see also the Appendices of the papers by R. Barbieri, J. A. Mignaco and E. Remiddi, Nuovo Cimento A11, 824, 865 (1972).
3. K. S. Kölbig, J. A. Mignaco and E. Remiddi, On Nielsen's Generalized Polylogarithms and their Numerical Calculation B.I.T. 10, 38 (1970); see also the Appendices of the papers by R. Barbieri, J. A. Mignaco and E. Remiddi, Nuovo Cimento A11, 824, 865 (1972).
4. N. Nielsen, Nova Acta Leopoldina (Halle) 90, 123 (1909).
5. L. Lewin, Dilogarithms and Associated Functions (North-Holland, 1958); Polylogarithms and Associated Functions (North-Holland, 1981).
6. L. Lewin, Dilogarithms and Associated Functions (North-Holland, 1958); Polylogarithms and Associated Functions (North-Holland, 1981).
7. J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek; "Special values of multidimensional polylogarithms," CECM Research Report 98-106.
8. J. A. M. Vermaseren, Int. J. Mod. Phys. A14, 2037 (1999).
9. J. A. M. Vermaseren, Symbolic Manipulation with FORM, version 2 (Computer Algebra, Nederland, Amsterdam, 1991). Version 3, which is used for the programs in this paper, will be released shortly.
10. D. J. Broadhurst and D. Kreimer, Phys. Lett. B393, 403 (1997).
11. J. M. Borwein, D. M. Bradley and D. J. Broadhurst, The Electronic Journal of Combinatorics, Vol. 4, No. 2 (Wilf Festschrift, 1997), #R5.
12. E. B. Zijlstra and W. L. van Neerven, Nucl. Phys. B383, 525 (1992); E. B. Zijlstra, PhD thesis, RX1449, Leiden (1993).
13. E. B. Zijlstra and W. L. van Neerven, Nucl. Phys. B383, 525 (1992); E. B. Zijlstra, PhD thesis, RX1449, Leiden (1993).
14. D. J. Broadhurst, private communication.