메뉴 건너뛰기




Volumn 130, Issue 2, 2002, Pages 161-214

On poly(ana)logs I

Author keywords

Bloch group; Derivations; Differential; Functional equations; Goncharov complexes; Infinitesimal polylogarithms; p adic polylogarithms; Polylogarithms; Polylogarithms over finite fields

Indexed keywords


EID: 0141792164     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013757217319     Document Type: Article
Times cited : (44)

References (37)
  • 1
    • 0003226050 scopus 로고
    • Functional equations in several variables
    • Cambridge Univ. Press
    • Aczél, J. and Dhombres, J.: Functional equations in several variables, in Encyclopedia of Math. Appl. 31, Cambridge Univ. Press, 1989.
    • (1989) Encyclopedia of Math. Appl. , vol.31
    • Aczél, J.1    Dhombres, J.2
  • 2
    • 0141457257 scopus 로고    scopus 로고
    • Finite and p-adic polylogarithms
    • Besser, A.: Finite and p-adic polylogarithms, Compositio Math. 130 (2002), 215-223.
    • (2002) Compositio Math. , vol.130 , pp. 215-223
    • Besser, A.1
  • 3
    • 0007203855 scopus 로고
    • On the tangent space to Quillen K-theory
    • Lecture Notes in Math. Springer, New York
    • Bloch, S.: On the tangent space to Quillen K-theory, In: Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972, Lecture Notes in Math. 341, Springer, New York, 1973, pp. 205-210.
    • (1973) Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972 , vol.341 , pp. 205-210
    • Bloch, S.1
  • 5
    • 0038747743 scopus 로고
    • Applications of the dilogarithm function in algebraic K-theory and algebraic geometry
    • Kinokuniya Book Store, Tokyo
    • Bloch, S.: Applications of the dilogarithm function in algebraic K-theory and algebraic geometry, Proc. Int. Symp. Alg. Geom. (Kyoto Univ., Kyoto, 1977), Kinokuniya Book Store, Tokyo, 1978, pp. 103-114.
    • (1978) Proc. Int. Symp. Alg. Geom. (Kyoto Univ., Kyoto, 1977) , pp. 103-114
    • Bloch, S.1
  • 6
    • 0010028518 scopus 로고
    • 2 à coefficients dans l'action adjointe
    • 2 à coefficients dans l'action adjointe, Math. Scand. 63 (1988), 51-86.
    • (1988) Math. Scand. , vol.63 , pp. 51-86
    • Cathelineau, J.-L.1
  • 7
    • 0002626479 scopus 로고
    • Homologie du groupe linéaire et polylogarithmes (d'après Goncharov et d'autres), Séminaire Bourbaki 772 (1992-93)
    • Cathelineau, J.-L.: Homologie du groupe linéaire et polylogarithmes (d'après Goncharov et d'autres), Séminaire Bourbaki 772 (1992-93), Astérisque 216 (1993), 311-341.
    • (1993) Astérisque , vol.216 , pp. 311-341
    • Cathelineau, J.-L.1
  • 8
    • 0038101778 scopus 로고    scopus 로고
    • Remarques sur les différentielles des polylogarithmes uniformes
    • Cathelineau, J.-L.: Remarques sur les différentielles des polylogarithmes uniformes, Ann. Inst. Fourier Grenoble, 46(5) (1996), 1327-1347.
    • (1996) Ann. Inst. Fourier Grenoble , vol.46 , Issue.5 , pp. 1327-1347
    • Cathelineau, J.-L.1
  • 9
    • 0141478381 scopus 로고    scopus 로고
    • Infinitesimal polylogarithms, multiplicative presentations of Kähler differentials and Goncharov complexes
    • Essen, May 1997
    • Cathelineau, J.-L.: Infinitesimal polylogarithms, multiplicative presentations of Kähler differentials and Goncharov complexes, talk at the Workshop on Polylogarithms, Essen, May 1997. (see http://www.exp-math.uni-essen.de/-herbert/polyloquy.html)
    • Workshop on Polylogarithms
    • Cathelineau, J.-L.1
  • 10
    • 0000697453 scopus 로고
    • Dilogarithms regulators and p-adic L-functions
    • Coleman, R.: Dilogarithms, regulators and p-adic L-functions, Invent. Math. 69(2) (1982), 171-208.
    • (1982) Invent. Math. , vol.69 , Issue.2 , pp. 171-208
    • Coleman, R.1
  • 13
    • 0038449715 scopus 로고    scopus 로고
    • Homology of linear groups with coefficients in the adjoint action and K-theory
    • Elbaz-Vincent, Ph.: Homology of Linear Groups with Coefficients in the Adjoint Action and K-theory, K-Theory 16 (1999), 35-50.
    • (1999) K-Theory , vol.16 , pp. 35-50
    • Elbaz-Vincent, Ph.1
  • 14
    • 0141701632 scopus 로고    scopus 로고
    • Arithmetic and infinitesimal variations on a polylogarithm theme (report on a work in progress with H. Gangl)
    • Essen, May 1997
    • Elbaz-Vincent, Ph.: Arithmetic and infinitesimal variations on a polylogarithm theme (report on a work in progress with H. Gangl), talk at the Workshop on Polylogarithms, Essen, May 1997. (see http://www.exp-math.uni-essen.de/-herbert/polyloquy.html)
    • Workshop on Polylogarithms
    • Elbaz-Vincent, Ph.1
  • 17
    • 0141589921 scopus 로고
    • (German) Dissertation, Bonn, Bonner Mathematische Schriften Universität Bonn
    • Gangl, H.: Funktionalgleichungen von Polylogarithmen, (German) Dissertation, Bonn, 1995, Bonner Mathematische Schriften 278, Universität Bonn.
    • (1995) Funktionalgleichungen von Polylogarithmen , vol.278
    • Gangl, H.1
  • 19
    • 0007021265 scopus 로고
    • Geometry of configurations, polylogarithms and motivic cohomology
    • Goncharov, A. B.: Geometry of configurations, polylogarithms and motivic cohomology, Adv. Math. 114 (1995), 197-318.
    • (1995) Adv. Math. , vol.114 , pp. 197-318
    • Goncharov, A.B.1
  • 20
    • 0007116846 scopus 로고
    • Polylogarithms and motivic Galois groups, Proc. of the Seattle conf. on motives, Seattle July 1991
    • Amer. Math. Soc., Providence
    • Goncharov, A. B.: Polylogarithms and motivic Galois groups, Proc. of the Seattle conf. on motives, Seattle July 1991, Proc. Sympos. Pure Math. 55, (2), Amer. Math. Soc., Providence, 1994, pp. 43-96.
    • (1994) Proc. Sympos. Pure Math. , vol.55 , Issue.2 , pp. 43-96
    • Goncharov, A.B.1
  • 21
    • 0032219342 scopus 로고    scopus 로고
    • Multiple polylogarithms, cyclotomy and modular complexes
    • Goncharov, A. B.: Multiple polylogarithms, cyclotomy and modular complexes, Math. Res. Lett. 5(4) (1998), 497-516.
    • (1998) Math. Res. Lett. , vol.5 , Issue.4 , pp. 497-516
    • Goncharov, A.B.1
  • 22
    • 0348062656 scopus 로고    scopus 로고
    • The 1 1/2logarithm, Appendix to this paper
    • Kontsevich, M.: The 11/2logarithm, Appendix to this paper (Compositio Math. 130 (2002), 211-214).
    • (2002) Compositio Math. , vol.130 , pp. 211-214
    • Kontsevich, M.1
  • 24
    • 0141813025 scopus 로고
    • Math. Surveys Monogr., Amer. Math. Soc., Providence
    • Lewin, L. (ed.): Structural Properties of Polylogarithms, Math. Surveys Monogr. 37, Amer. Math. Soc., Providence, 1991.
    • (1991) Structural Properties of Polylogarithms , vol.37
    • Lewin, L.1
  • 25
    • 0141813023 scopus 로고
    • The order-independence of the polylogarithmic ladder structure - Implications for a new category of functional equations
    • Lewin, L.: The order-independence of the polylogarithmic ladder structure - implications for a new category of functional equations, Aequationes Math. 30(1) (1986), 1-20.
    • (1986) Aequationes Math , vol.30 , Issue.1 , pp. 1-20
    • Lewin, L.1
  • 26
    • 0039797800 scopus 로고
    • Polylogarithmes Sém. Bourbaki 762 (1992-93)
    • Oesterlé, J. Polylogarithmes, Sém. Bourbaki 762 (1992-93), Astérisque 216 (1993), 49-67.
    • (1993) Astérisque , vol.216 , pp. 49-67
    • Oesterlé, J.1
  • 30
    • 0009278742 scopus 로고
    • 3 of a field, and the Bloch group (Russian), Galois theory, rings, algebraic groups and their applications (Russian)
    • 3 of a field, and the Bloch group (Russian), Galois theory, rings, algebraic groups and their applications (Russian), Trudy Mat. Inst. Steklov. 183 (1990), 180-199, 229.
    • (1990) Trudy Mat. Inst. Steklov. , vol.183 , pp. 180-199
    • Suslin, A.A.1
  • 32
    • 0141701633 scopus 로고    scopus 로고
    • Private e-mail correspondence, October 1999
    • Weibel, C.: Private e-mail correspondence, October 1999.
    • Weibel, C.1
  • 33
    • 0141478352 scopus 로고
    • A construction of analogs of the Bloch-Wigner function
    • Wojtkowiak, Z.: A construction of analogs of the Bloch-Wigner function, Math. Scand. 65 (1989), 140-142.
    • (1989) Math. Scand. , vol.65 , pp. 140-142
    • Wojtkowiak, Z.1
  • 34
    • 0141701631 scopus 로고
    • A note on functional equations of the p-adic polylogarithms
    • Wojtkowiak, Z.: A note on functional equations of the p-adic polylogarithms, Bull. Soc. Math. France 119 (1991), 343-370.
    • (1991) Bull. Soc. Math. France , vol.119 , pp. 343-370
    • Wojtkowiak, Z.1
  • 36
    • 0007080088 scopus 로고
    • Polylogarithms Dedekind zeta functions and the algebraic K-theory of fields
    • Birkhäuser, Boston
    • Zagier, D.: Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields, Proc. Texel Conf. on Arithm. Algebraic Geom. 1989, Birkhäuser, Boston, 1991, pp. 391-430.
    • (1989) Proc. Texel Conf. on Arithm. Algebraic Geom. , pp. 391-430
    • Zagier, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.