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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.
