This book contains accounts of work presented during the research conference, 'Zeta Functions in Geometry', held at the Tokyo Institute of Technology in August 1990. The aim of the conference was to provide an opportunity for the discussion of recent results by geometers and number theorists on zeta functions in several different categories. The exchange of ideas produced new insights on various geometric zeta functions, as well as the classical zeta functions. The zeta functions covered here are the Selberg zeta functions, the Ihara zeta functions, spectral zeta functions, and those associated with prehomogeneous vector spaces. Accessible to graduate students with background in geometry and number theory, "Zeta Functions in Geometry" will prove useful for its presentation of new results and up-to-date surveys.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Gewicht
ISBN-13
978-4-314-10078-6 (9784314100786)
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Schweitzer Klassifikation
Spectrum and geodesic flow by S. Zelditch On adelic zeta functions of prehomogeneous vector spaces with finitely many adelic open orbits by T. Kimura and T. Kogiso Fonctions zeta de Selberg et surfaces de geometrie finie by L. Guillope The relation between the $\eta$-invariant and the spin representation in terms of the Selberg zeta function by M. Wakayama Lefschetz principle in the theory of prehomogeneous vector space by A. Gyoja On special values of Selberg zeta functions by K. Takase Some exact trace formulae by C. L. Epstein Zeta function; class number and cyclotomic units of cyclotomic function fields by K. Feng Scalar product of Hecke $L$-functions and its application by B. Z. Moroz Billiards without boundary and their zeta functions by T. Morita Selberg zeta functions and Jacobi forms by T. Arakawa Multiple zeta functions:An example by N. Kurokawa Zeta functions of loop groups by S. Koyama Some observations concerning the distribution of the zeros of the zeta functions (I) by A. Fujii On Hermitian forms attached to zeta functions by H. Yoshida Spectral zeta functions by A. Voros Eigenvalues of the Laplacian for Hecke triangle groups by D. A. Hejhal The Maass zeta functions attached to positive definite quadratic forms by F. Sato.
