Spectral zeta functions and exceptional points

Joe Watkins

University of Kent, School of Mathematics, Statistics & Actuarial Science, Canterbury, UK

We continue the work of Dorey et al. on the study of exceptional points in a particular PT-Symmetric eigenvalue problem. The spectral zeta functions for the counterpart radial problem are given and then used to provide information about the PT-symmetric versions. The results are used to give information about exceptional points, which helps to explain the exotic behaviour witnessed when extending the work of Dorey et al

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