Emerging applications of number theory. Based on the proceedings of the IMA summer program, Minneapolis, MN, USA, July 15--26, 1996
The articles of this volume will be reviewed individually. Indexed articles: \textit{Bleher, Pavel}, Trace formula for quantum integrable systems, lattice-point problem, and small divisors, 1-38 [Zbl 1045.11069] \textit{Bolte, Jens; Johansson, Stefan}, Theta-lifts of Maass waveforms, 39-72 [Zbl 0996.11039] \textit{Chang, Cheng-Hung; Mayer, Dieter H.}, The transfer operator approach to Selberg's zeta function and modular and Maass wave forms for \(\text{PSL}(2,\mathbb{Z})\), 73-141 [Zbl 0982.11049] \textit{Chudnovsky, David V.; Chudnovsky, Gregory V.}, Chaos and deviation from uniform distribution: eigenfunction computation; applied modular arithmetic, 143-174 [Zbl 1071.11523] \textit{Chung, Fan}, Logarithmic Sobolev techniques for random walks on graphs, 175-186 [Zbl 0992.60072] \textit{Eckhardt, Bruno}, Eigenvalue statistics in quantum ideal gases, 187-199 [Zbl 1071.82504] \textit{Efrat, Isaac}, Multifractal spectrum and Laplace spectrum, 201-204 [Zbl 0982.11027] \textit{Fefferman, Charles L.; Seco, Luis A.}, Number theory and atomic densities, 205-218 [Zbl 1072.81583] \textit{Fujii, Akio}, Explicit formulas and oscillations, 219-267 [Zbl 0972.11074] \textit{Grosche, Christian}, Energy fluctuation analysis in integrable billiards in hyperbolic geometry, 269-289 [Zbl 0960.37013] \textit{Hejhal, Dennis A.}, On eigenfunctions of the Laplacian for Hecke triangle groups, 291-315 [Zbl 0982.11029] \textit{Jakobson, Dmitry; Miller, Stephen D.; Rivin, Igor; Rudnick, Zeév}, Eigenvalue spacings for regular graphs, 317-327 [Zbl 1071.81522] \textit{Jakobson, Dmitry; Zelditch, Steve}, Classical limits of eigenfunctions for some completely integrable systems, 329-354 [Zbl 1071.58505] \textit{Kapitanski, Lev; Rodnianski, Igor}, Does a quantum particle know the time?, 355-371 [Zbl 1071.81516] \textit{Lafferty, John D.; Rockmore, Daniel N.}, Level spacings for Cayley graphs, 373-386 [Zbl 0962.05026] \textit{Li, Wen-Ching Winnie}, Eigenvalues of Ramanujan graphs, 387-403 [Zbl 0981.11041] \textit{Marklof, Jens}, Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin, 405-450 [Zbl 1071.81518] \textit{Myers, Perla}, Random walks on generalized Euclidean graphs, 451-468 [Zbl 0962.05039] \textit{Northshield, Sam}, Two proofs of Ihara's theorem, 469-478 [Zbl 0983.11054] \textit{Richter, A.}, Playing billiards with microwaves -- quantum manifestations of classical chaos, 479-523 [Zbl 1071.81523] \textit{Roichman, Yuval}, Characters of the symmetric groups: formulas, estimates and applications, 525-545 [Zbl 0986.20012] \textit{Shallit, Jeffrey}, Number theory and formal languages, 547-570 [Zbl 0973.11032] \textit{Shalom, Yehuda}, Expander graphs and amenable quotients, 571-581 [Zbl 0989.20028] \textit{Spielman, Daniel A.}, Constructing error-correcting codes from expander graphs, 591-600 [Zbl 0986.94045] \textit{Solé, Patrick}, Ramanujan hypergraphs and Ramanujan geometries, 593-590 [Zbl 0962.05043] \textit{Stark, Harold M.}, Multipath zeta functions of graphs, 601-615 [Zbl 0988.11040] \textit{Steil, Gunther}, Eigenvalues of the Laplacian for Bianchi groups, 617-641 [Zbl 0982.11028] \textit{Terras, Audrey}, A survey of discrete trace formulas, 643-681 [Zbl 0982.11031]
scientific article; zbMATH DE number 1319359