Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P. Buser, Cubic graphs and the first eigenvalue of a Riemann surface, Math. Z. 162 (1978), 87–99.
P. Buser, On the bipartition of graphs, Discrete Applied Mathematics, 9 (1984), 105–109.
L. Bers, F. John, M. Schechter, Partial Differential Equations, AMS, Providence, RI 1979.
A.F. Beardon, The Geometry of Discrete Groups, Springer-Verlag, New York 1983.
S. Y. Cheng, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), 289–297.
D.B.A. Epstein, Curves on 2-manifolds and isotopies, Acta Math. 115 (1966), 83–107.
H. Jacquet, R. Langlands, Automorphic Forms on GL (2), Lect. Notes in Math. 114, Springer-Verlag, Berlin 1970.
J. Dodziuk, B. Randol, Lower bounds for λ1 on a finite volume hyperbolic manifold, J. Differential Geometry, 24 (1986), 133–139.
J. Dodziuk, T. Pignataro, B. Randol, D. Sullivan, Estimating small eigenvalues of Riemann surfaces, Contemporary Mathematics 64, (1987), 93–121.
A. Selberg, On the estimation of Fourier coefficients of modular forms, in Proceedings of Symposia in Pure Mathematics, vol. 8, AMS, Providence, RI 1965.
G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton University Press, Princeton NJ, 1971
R. Schoen, S. Wolpert, S.-T. Yau, Geometric bounds on low eigenvalues of a compact surface, in Geometry of Laplace Operator, AMS (1980), 279–285.
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Buser, P., Burger, M., Dodziuk, J. (1988). Riemann surfaces of large genus and large λ1 . In: Sunada, T. (eds) Geometry and Analysis on Manifolds. Lecture Notes in Mathematics, vol 1339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083046
Download citation
DOI: https://doi.org/10.1007/BFb0083046
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50113-8
Online ISBN: 978-3-540-45930-9
eBook Packages: Springer Book Archive