Ramanujan hypergraphs

Geometric and Functional Analysis

Volumn 14, Issue 2, 2004, Pages 380-399

  Li, Wen Ching Winnie ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942726358     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-004-0461-z     Document Type: Article

References (22)

1. [ACPTTV] J. ANGEL, N. CELNIKER, S. POULOS, A. TERRAS, C. TRIMBLE, E. VELASQUEZ, Special functions on finite upper half planes, Contemp. Math. 138 (1992), 1-26.
2. n sur un corps local de caractèristique non nulle, Manuscripta Math. 101 (2000), 49-70.
3. [Ba] C. BALLANTINE, Ramanujan type buildings, Canadian J. Math. 52 (2000), 1121-1148.
4. [CS] D. CARTWRIGHT, T. STEGER, Elementary symmetric polynomials in numbers of modulus 1, Canad. J. Math. 54 (2002), 239-262.
5. n, Discrete Math. 269 (2003), 35-43.
6. [CePTTV] N. CELNIKER, S. POULOS, A. TERRAS, C. TRIMBLE, E. VELASQUEZ, Is there life on finite upper half planes?, Contemp. Math. 143 (1993), 65-88.
7. [Dr] V.G. DRINFEL'D, The proof of Petersson's conjecture for GL(2) over a global field of characteristic p, Functional Anal. Appl. 22 (1988), 28-43.
8. [E] M. EICHLER, Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion, Arch. Math. 5 (1954), 355-366.
9. 3, I & II, Ann. of Math. 109 (1979), 169-258.
10. [L] L. LAFFORGUE, Chtoucas de Drinfeld et correspondence de Langlands, Invent. Math. 147 (2002), 1-241.
11. [LaRS] G. LAUMON, M. RAPOPORT, U. STUHLER, D-elliptic sheaves and the Langlands correspondence, Invent. Math 113 (1993), 217-338.
12. [Li1] W.-C.W. LI, On negative eigenvalues of regular graphs, C.R. Acad. Sci. Paris, t. 333, Série I (2001), 907-912.
13. [Li2] W.-C.W. LI, Character sums and abelian Ramanujan graphs, J. Number Theory 41 (1992), 199-217.
14. [Li3] W.-C.W. LI, Eigenvalues of Ramanujan graphs, Proc. of Workshop on Emerging Applications of Number Theory, (Minneapolis, MN, 1996), IMA Vol. Math. Appl. 109, Springer, New York (1999), 387-403.
15. [LuPS] A. LUBOTZKY, R. PHILLIPS, P. SARNAK, Ramanujan graphs, Combinatorica 8 (1988), 261-277.
16. n, preprint (2003).
17. [M1] I.G. MACDONALD, Spherical Functions on a Group of p-adic Type, Ra manujan Inst. Publications 2 (1971).
18. [M2] I.G. MACDONALD, Symmetric Functions and Hall Polynomials, second edition, Oxford Univ Press, Oxford, 1995.
19. [Ma] G. MARGULIS, Explicit group theoretic constructions of combinatorial schemes and their application to the design of expanders and concentrators, Problems. Inform. Transmission 24:1 (1988), 39-46.
20. [Me] J.-F. MESTRE, La méthode des graphes. Exemples et applications, Proc. Int. Conf. on Class Numbers and Fundamental Units of Algebraic Number Fields, Katata, Japan (1986), 217-242.
21. [Mu] M. MORGENSTERN, Existence and explicit constructions of q + 1 regular Ramanujan graphs for every prime power q, J. Comb. Theory, series B 62 (1994), 44-62.
22. G. SHIMURA, Correspondances moduläires et les fonctions ζ de courbes algébriques, J. Math. Soc. Japan 10 (1958), 1-28.