Finite analogues of Euclidean space

DOI10.1016/0377-0427(95)00261-8zbMath0874.05030OpenAlexW2030077266MaRDI QIDQ1919452

Yanyan Li

Publication date: 11 November 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00261-8

zbMATH Keywords

Ramanujan graphsgeneralized Kloosterman sumsfinite Euclidean graphsGauß sumsadjacency operators

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Other matrix groups over finite fields (20H30)

Related Items (14)

Eigenvalues of Cayley graphs ⋮ A two-parameter finite field Erd\H{o}s-Falconer distance problem ⋮ The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs ⋮ Unnamed Item ⋮ Clique numbers of finite unit-quadrance graphs ⋮ On a Furstenberg-Katznelson-Weiss type theorem over finite fields ⋮ Sets with integral distances in finite fields ⋮ ON SUM OF PRODUCTS AND THE ERDŐS DISTANCE PROBLEM OVER FINITE FIELDS ⋮ Intertwining operators forL²(E) ⋮ Unnamed Item ⋮ Survey of Spectra of Laplacians on Finite Symmetric Spaces ⋮ Distance Graphs in Vector Spaces Over Finite Fields ⋮ Finite Euclidean graphs and Ramanujan graphs ⋮ Some elementary Ramanujan graphs

Cites Work

• Ramanujan graphs
• The expected eigenvalue distribution of a large regular graph
• Character tables of association schemes of affine type
• Character sums and abelian Ramanujan graphs (with an appendix by Keqin Feng and Wen-Ch'ing Winnie Li)
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• La conjecture de Weil. I
• Graph spectra for finite upper half planes over rings
• The determination of Gauss sums
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Estimates for Soto-Andrade sums.
• Fresnel Zones on the Screen
• On the distribution of angles of Kloosterman sums.
• Weighted Quadratic Partitions Over a Finite Field
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