@incollection{AST_1995__228__101_0, author = {Li, Wen-Ching Winnie}, title = {Number theoretic constructions of {Ramanujan} graphs}, booktitle = {Columbia university number theory seminar - New-York, 1992}, series = {Ast\'erisque}, pages = {101--120}, publisher = {Soci\'et\'e math\'ematique de France}, number = {228}, year = {1995}, mrnumber = {1330930}, zbl = {0844.11076}, language = {en}, url = {http://archive.numdam.org/item/AST_1995__228__101_0/} }
TY - CHAP AU - Li, Wen-Ching Winnie TI - Number theoretic constructions of Ramanujan graphs BT - Columbia university number theory seminar - New-York, 1992 AU - Collectif T3 - Astérisque PY - 1995 SP - 101 EP - 120 IS - 228 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1995__228__101_0/ LA - en ID - AST_1995__228__101_0 ER -
%0 Book Section %A Li, Wen-Ching Winnie %T Number theoretic constructions of Ramanujan graphs %B Columbia university number theory seminar - New-York, 1992 %A Collectif %S Astérisque %D 1995 %P 101-120 %N 228 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1995__228__101_0/ %G en %F AST_1995__228__101_0
Li, Wen-Ching Winnie. Number theoretic constructions of Ramanujan graphs, dans Columbia university number theory seminar - New-York, 1992, Astérisque, no. 228 (1995), pp. 101-120. http://archive.numdam.org/item/AST_1995__228__101_0/
[AM] , isoperimetric inequalities for graphs and super-concentrators, J. Comb. Theory Ser.B 38 (1985), 73-88. | DOI | MR | Zbl
and :[B] Constructions of telephone networks by group representations, Notices of Amer. Math. Soc., vol.36 (1989), 5-22. | MR | Zbl
:[Ch] Cubic Ramanujan graphs, Combinatorica 12 (1992), 275-285. | DOI | MR | Zbl
:[C] Diameters and eigenvalues, J. Amer. Math. Soc. 2 (1989), 187-196. | DOI | MR | Zbl
:[D1] Cohomologie Etale SGA 4 1/2, Lecture Notes in Math. 569, Springer-Verlag, Berlin-Heidelberg-New York (1977). | MR | Zbl
:[D2] La conjecture de Weil. I, Publ. Math. Inst. Hautes Études Sci. 43 (1974), 273-308. | DOI | EuDML | Numdam | MR | Zbl
:[Dr] The proof of Petersson's conjecture for over a global field of characteristic , Functional Anal. Appl. 22 (1988), 28-43. | DOI | MR | Zbl
:[E] Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs, preprint, 1993. | MR | Zbl
:[GJ] Forms of from the analytic point of view, In: Automorphic Forms, Representations, and L-functions, Proc. Symp. Pure Math. 33, Part 1, Amer. Math. Soc., Providence (1979), 213-251. | DOI | MR | Zbl
and :[JL] Automorphic Forms on , Lecture Notes in Math. 114, Springer-Verlag, Berlin-Heidelberg-New York (1970). | MR | Zbl
and :[K1] An estimate for character sums, J. Amer. Math. Soc. 2 (1989), 197-200. | DOI | MR | Zbl
:[K2] Estimates for Soto-Andrade sums, J. reine angew. Math. 438 (1993), 143-161. | EuDML | MR | Zbl
:[L1] Character sums and abelian Ramanujan graphs, J. Number Theory, 41 (1992), 199-217. | DOI | MR | Zbl
:[L2] Number Theory with Applications, to be published by World Scientific. | MR | Zbl
:[LPS] Ramanujan graphs, Combinatorica 8 (1988), 261-277. | DOI | MR | Zbl
, and :[M] Explicit group theoretic constructions of combinatorial schemes and their application to the design of expanders and concentrators, J. Prob. of Info. Trans. (1988), 39-46. | MR | Zbl
:[Me] La méthode des graphes. Exemples et applications, Proc. Int. Conf. on Class Numbers and Fundamental Units of Algebraic Number Fields, June 24-28, 1986, Katata, Japan, 217-242. | MR | Zbl
:[Mo] Some exponential sums, in "Proceedings International Conference on Number Theory Moscow 1971", 30-34. | MR | Zbl
:[PS] Complex Representations of for Finite Field , Contemporary Math. 16, Amer. Math. Soc., Providence, 1983. | DOI | MR | Zbl
:[P] Ramanujan graphs and Hecke operators, Amer. Math. Soc. Bull. 23 (1990), 127-137. | DOI | MR | Zbl
:[S] Trees, Springer-Verlag, Berlin-Heidelberg-New York (1980). | Zbl
:[SA] Geometrical Gel'fand models, tensor quotients and Weil representations, Proc. Symp. Pure Math. 47, Amer. Math. Soc., Providence (1987), 305-316. | DOI | MR | Zbl
:[Ta] Explicit concentrators from generalized -gons, SIAM J. Alg. Dis. Math. 5 (1984), 287-293. | DOI | MR | Zbl
:[Te1] Fourier Analysis on Finite Groups and Applications, U.C.S.D. Lecture Notes. | DOI | MR | Zbl
:[Te2] Are finite upper half plane graphs Ramanujan ? DIMACS Series in Discrete Math. and Theor. Computer Science, vol. 10, Amer. Math. Soc. (1993), 125-142. | DOI | MR | Zbl
:[W1] Sur les courbes algébriques et les variétés qui s'en déduisent, Hermann, Paris, 1948. | MR | Zbl
:[W2] On some exponential sums, Proc. Nat. Aca. Sci., 34 (1948), 204-207. | DOI | MR | Zbl
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