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Original Articles

A Sixteenth-order Polylogarithm Ladder

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Pages 25-34 | Published online: 03 Apr 2012

REFERENCES

  • Abouzahra , M. and Lewin , L. 1985 . “The poly logarithm in algebraic number fields” . J. Number Th. , 21 : 214 – 244 . [Abouzahra and Lewin 1985]
  • Abouzahra , M. , Lewin , L. and Xiao , H. 1987 . “Polylogarithms in the field of omega (a root of a given cubic): functional equations and ladders” . Aeq. Math. , 33 : 23 – 45 . [Abouzahra et al. 1987]
  • Lehmer , D. H. 1933 . “Factorization of certain cyclotomic functions” . Ann. Math. , 34 : 461 – 479 . [Lehmer 1933]
  • Lenstra , A. , Lenstra , H. and Lovász , L. 1982 . “Factoring polynomials with rational coefficients” . Math. Ann. , 21 : 515 – 534 . [Lenstra et al. 1982]
  • Lewin , L. 1981 . Polylogarithms and Associated Functions New York : North-Holland. . [Lewin 1981]
  • Lewin , L. 1984 . “The inner structure of the dilogarithm in algebraic fields” . J. Number Th. , 19 : 345 – 373 . [Lewin 1984]
  • Lewin , L. 1991 . The Structural Properties of Polylogarithms Providence , PI : American Mathematical Society. . [Lewin 1991], Amer. Math. Soc. Monographs 37
  • Zagier , D. 1991 . “Polylogarithms, Dedekind zeta functions, and the algebraic AT-theory of fields”. ” . In Arithmetic Algebraic Geometry Edited by: Geer , G. v. d. , Oort , F. and Steenbrink , J. 391 – 430 . Boston : Birkhauser. . [Zagier 1991a], Prog. in Math. 89
  • Zagier , D. “Special values and functional values of polylogarithms” [Zagier 1991b], Appendix in [Lewin 1991]

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