Deninger's conjecture on L-functions of elliptic curves AT s = 3

Journal of Mathematical Sciences

Volumn 81, Issue 3, 1996, Pages 2631-2656

  Goncharov, A B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041739385     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02362333     Document Type: Article

References (21)

1. A. A. Beilinson, "Higher regulators and values of L-functions," J. Sov. Math., 30, 2036-2070 (1985).
2. A. A. Beilinson, "Higher regulators for modular curves," In: Contemp. Math., Vol. 55 (1987), pp. 1-35.
3. A. A. Beilinson and A. M. Levin, "Elliptic polylogarithms," In: Symp. Pure Math., Vol. 55, Part 2 (1994), pp. 101-156.
4. A. A. Beilinson, R. D. MacPherson, and V. V. Schechtman, "Notes on motivic cohomology," Duke Math. J., 55, 679-710 (1987).
5. S. Bloch, "Higher regulators, algebraic K-theory and zeta functions of elliptic curves," In: Lect. Notes U.C., Irvine (1977).
6. S. Bloch, "Two letters to Deninger regarding [15]," Fall (1990).
7. S. Bloch, "Lectures on algebraic cycles," In: Duke Math. Led. Series (1980).
8. A. M. Gabrielov, I. M. Gelfand, and M. V. Losic, "Combinatorial computation of characteristic classes," Funkts. Anal. Prilozh., 9, No. 2, 103-115 (1975); 9, No. 3, 5-26 (1975).
9. A. B. Goncharov, "Geometry of configurations, polylogarithms and motivic cohomology," Adv. Math., 197-318 (1995).
10. A. B. Goncharov, "Polylogarithms and motivic Galois groups," In: Symp. Pure Math., Vol. 55, Part 2 (1994), pp. 43-96.
11. A. B. Goncharov, "Explicit construction of characteristic classes," In: Adv. Sov. Math., Vol. 16 (1993), pp. 169-210.
12. A. B. Goncharov, "Special values of Hasse-Weil L-functions and generalized Eisenstein-Kronecker series," to appear.
13. A. B. Goncharov and A. M. Levin, Zagier's Conjecture on L(E,2), preprint IHES (1995).
14. P. Deligne, "Symbole modere," Publ. Math. IHES (1992).
15. C. Deninger, "Higher order operations in Deligne cohomology," Invent. Math., 122, No. 1, 289-316 (1995).
16. C. Deninger, "Higher regulators and Hecke L-series of imaginary quadratic fields I," Invent. Math., 96, 1-69 (1989).
17. (3) of curves over number fields, preprint (1995).
18. n, characteristic classes and Milnor's K-theory," In: Lect. Notes Math., Vol. 1046 (1989), pp. 357-375.
19. 3 of a field and Bloch's group," In: Tr. Mat. Inst. Rossiisk. Akad. Nauk, Vol. 4 (1991).
20. D. Zagier, "Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields," In: Arithmetic Algebraic Geometry (G.v.d. Geer, F. Oort, J. Steenbrink, eds.), Prog. Math., Vol. 89, Birkhäuser, Boston (1991), pp. 391-430.
21. D. Zagier, "The Bloch-Wigner-Ramakrishnan polylogarithm function," Math. Ann., 286, 613-624 (1990).