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Spectral problems in geometry and arithmetic : NSF-CBMS Conference on Spectral Problems in Geometry and Arithmetic, August 18-22, 1997, University of Iowa / [electronic resource] Thomas Branson, editor. - Providence, R.I. : American Mathematical Society, c1999. - 1 online resource (xi, 174 p. : ill.) - Contemporary mathematics, v. 237 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 237. .

Includes bibliographical references.

Connections between random matrices and Szeg�o limit theorems / On a fourth order curvature invariant / Small eigenvalues of the Hodge Laplacian for three-manifolds with pinched negative curvature / Heating and stretching Riemannian manifolds / Number theory zeta functions and dynamical zeta functions / Complex dimensions of fractal strings and oscillatory phenomena in fractal geometry and arithmetic / High frequency cut-offs, trace formulas and geometry / Meromorphic continuation of the resolvent for Kleinian groups / Variation of scattering poles for conformal metrics / On Bilu's equidistribution theorem / Asymptotics of a class of Fredholm determinants / Estelle L. Basor -- Sun-Yung A. Chang and Paul C. Yang -- Ruth Gornet and Jeffrey McGowan -- Christopher M. Judge -- Jeffrey C. Lagarias -- Michel L. Lapidus and Machiel van Frankenhuysen -- Kate Okikiolu -- Peter Perry -- Yiannis N. Petridis -- Robert Rumely -- Craig A. Tracy and Harold Widom -- http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710785 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710786 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710787 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710788 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710789 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710790 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710791 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710792 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710793 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710794 http://www.ams.org/conm/237/ http://dx.doi.org/10.1090/conm/237/1710795

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9780821878286 (online)

Subjects--Topical Terms:
Spectral theory (Mathematics)--Congresses.
Functions, Zeta--Congresses.
Partial differential operators--Congresses.

LC Class. No.: QA320 / .N74 1997

Dewey Class. No.: 515/.7222