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Yannis Petridis - Zeros of the Riemann zeta function and central values of L-series of holomorphic cusp forms
|YANNIS PETRIDIS, McGill University, Montreal, Quebec H3A 2K6, Canada|
|Zeros of the Riemann zeta function and central values of L-series of holomorphic cusp forms|
We examine the stability of the zeros of the Riemann zeta function, which are twice the scattering poles of SL(2, Z), in relation to the central value of the L-series of holomorphic cusp forms of weight 2for the congruence subgroups , q prime. We work with perturbations in characters varieties of and study the effects on the spectral and scattering theory of the Laplace operator.