@incollection{AST_1995__228__121_0, author = {Manin, Yuri}, title = {Lectures on zeta functions and motives}, booktitle = {Columbia university number theory seminar - New-York, 1992}, series = {Ast\'erisque}, pages = {121--163}, publisher = {Soci\'et\'e math\'ematique de France}, number = {228}, year = {1995}, mrnumber = {1330931}, zbl = {0840.14001}, language = {en}, url = {http://www.numdam.org/item/AST_1995__228__121_0/} }
TY - CHAP AU - Manin, Yuri TI - Lectures on zeta functions and motives BT - Columbia university number theory seminar - New-York, 1992 AU - Collectif T3 - Astérisque PY - 1995 SP - 121 EP - 163 IS - 228 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1995__228__121_0/ LA - en ID - AST_1995__228__121_0 ER -
%0 Book Section %A Manin, Yuri %T Lectures on zeta functions and motives %B Columbia university number theory seminar - New-York, 1992 %A Collectif %S Astérisque %D 1995 %P 121-163 %N 228 %I Société mathématique de France %U http://www.numdam.org/item/AST_1995__228__121_0/ %G en %F AST_1995__228__121_0
Manin, Yuri. Lectures on zeta functions and motives, dans Columbia university number theory seminar - New-York, 1992, Astérisque, no. 228 (1995), pp. 121-163. http://www.numdam.org/item/AST_1995__228__121_0/
[1] On the theory of the multiple gamma-functions, Trans. Cambridge Philos. Soc. 19 (1904), 374-425. | JFM
,[2] Notes on absolute Hodge cohomology, Contemp. Math., vol. 55 (1986), 35-68. | DOI | MR | Zbl
,[3] Motivic polylogarithms, Preprint 1992. | Zbl
, ,[4] Cohomologie de et valeurs de fonctions de zeta, Ann. Scuola Norm. Sup., 7 (1974), 613-636. | EuDML | Numdam | MR | Zbl
,[5] Une nouvelle interpretation de la formule des traces de Selberg, Grothendieck Festschrift, vol. 2, Birkhäuser, (1991), 1-67. | MR | Zbl
, ,[6] Heuristics on class groups of number fields, Springer Lect. Notes in Math., vol. 1068 (1983), 33-62. | MR | Zbl
, ,[7] Studien über die Nulstellen der Riemannscher Zetafunction, Math. Z., vol 4 (1919), 104-130. | DOI | EuDML | JFM | MR
,[8] Valeurs de fonctions et périodes d'intégrales, Proc. Symp. Pure Math., AMS, vol. 33 (1979), part 2, 313-346. | DOI | MR | Zbl
,[9] Theorie de Hodge II, Publ. Math. I.H.E.S. 40 (1971), 5-58. | DOI | EuDML | Numdam | MR | Zbl
,[10] Le groupe fondamental de la droite projective moins trois points, In: Galois groups over , ed. by Y. Ihara, K. Ribet, J.-P. Serre, (1989), 80-290. | MR | Zbl
,[11] Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs, Preprint 1990. | Zbl
,[12] On the -factors attached to motives, Inv. Math. 104 (1991), 245-261. | DOI | EuDML | MR | Zbl
,[13] Local -factors of motives and regularized determinants, Inv. Math. 107 (1992), 135-150. | DOI | EuDML | MR | Zbl
,[14] Motivic -functions and regularized determinants, Preprint, 1992. | MR | Zbl
,[15] Arithmetic standard conjectures, Preprint, 1991. | Zbl
, ,[16] Explicit formulae as trace formulae, In: Number theory, trace formulas and discrete groups, Academic Press, ed. by K.E. Aubert, E. Bombieri D. Goldfeld, (1989), 281-288. | MR | Zbl
,[17] Geometry of configurations, polylogarithms and motivic cohomology, Preprint MPI, Bonn, 1991. | MR | Zbl
,[18] Polylogarithms and motivic Galois groups, Preprint, 1992. | Zbl
,[19] A summation formula in the theory of prime numbers, Proc London Math. Soc., Ser. 2, vol. 50 (1949), 107-119. | MR | Zbl
,[20] Fourier reciprocities and the Riemann zeta-function, Proc London Math. Soc., ser. 2, vol. 51 (1950), 404-414. | MR | Zbl
,[21] Classical polylogarithms, Preprint, 1992. | MR | Zbl
,[22] Algebraic cycles and the Weil conjectures, In: Dix exposes sur la cohomologie des schémas, North Holland, Amsterdam, (1968), 359-386. | MR | Zbl
,[23] On some Euler products, I, Proc. Jap. Ac. Sci., vol 60, ser A, No. 9 (1984), 335-338. | DOI | MR | Zbl
,[24] Parabolic components of zeta functions, Proc. Jap. Ac. Sci. vol 64, No. 1, ser. A (1988), 21-24. | DOI | MR | Zbl
,[25] Multiple zeta functions: an example, Preprint, 1990. | MR | Zbl
,[26] Multiple sine functions and Selberg zeta functions, Proc. Jap Ac. Sci., ser. A, 67 no. 3 (1991), 61-64. | DOI | MR | Zbl
,[27] Letter to Ch. Deninger, Dec. 30, 1990.
,[28] Lectures on multiple sine functions, (Univ. of Tokyo, 1991 April-July), notes by | MR | Zbl
,[29] Correspondences, motives, and monoidal transforms, (Russian) Mat. Sbornik, 77:4 (1968), 475-507. | MR | Zbl
,[30] Selberg's conjectures and Artin -functions, Preprint, 1992. | MR | Zbl
,[31] Regulators, algebraic cycles, and values of -functions, Contemp. Math., vol. 83 (1989), 183-310. | DOI | MR | Zbl
,[32] Meromorphic functions connected with polylogarithms, Punk. Analiz i ego priloz., vol. 25 (1991), N1, 74-77. | MR | Zbl
,[33] Old and new conjectures and results about a class of Dirichlet series, Collected papers, vol II. | Zbl
,[34] Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), Sém. Delange-Piso-Poitou, n° 19, 1969/70, Oeuvres, vol. 2, 581-592. | EuDML | Numdam | Zbl
,[35] Letter to Ch. Deninger, Feb. 13, 1991.
,[36] L'équation fonctionelle de la fonction zêta de Selberg du groupe modulaire , Astérisque 61 (1979), 235-249. | Numdam | MR | Zbl
,[37] Spectral functions and the Selberg zeta function, Comm. Math. Phys. 111 (1987), 439-465. | DOI | MR | Zbl
,[38] Eisenstein series and the Riemannian zeta function, In: Auto-morphic Forms, Representation Theory and Arithmetic, Tata, Bombay (1979), 275-301. | MR | Zbl
,[39] Polylogarithms, Dedekind zeta functions, and the algebraic -theory of fields, In: Arithmetical Algebraic Geometry, Proc. of the Texel conference, Birkhâuser (1991), 391-430. | MR | Zbl
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