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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 $\Gamma_0(q)$, q prime. We work with perturbations in characters varieties of $\Gamma_0(q)$ and study the effects on the spectral and scattering theory of the Laplace operator.



 

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