The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2, #3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical ...
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The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2, #3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula.
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Add this copy of An Approach to the Selberg Trace Formula Via the to cart. $15.00, very good condition, Sold by Curious Book Shop rated 4.0 out of 5 stars, ships from East Lansing, MI, UNITED STATES, published 1987 by Springer-Verlag.
Add this copy of An Approach to the Selberg Trace Formula Via the to cart. $15.00, good condition, Sold by Row by Row Bookshop rated 5.0 out of 5 stars, ships from Sugar Grove, NC, UNITED STATES, published 1987 by Springer-Verlag.
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Good. No Dust Jacket. An ex-library copy in original yellow paper covers. The usual ex-libris markings, clean within. The binding is sound, and there is little cover wear.
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Add this copy of An Approach to the Selberg Trace Formula Via the to cart. $77.22, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1987 by Springer.
