The paper re-derives the 2012 second-order perturbative spectral sum rules of rational order via a new trace and fractional Green's function construction.
Berry, ”Spectral zeta functions for Aharonov-Bohm qua n- tum billiards”, Journal of Physics A 19 (1986): 2281-2296
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On the calculation of exact sum rules of rational order for quantum billiards
The paper re-derives the 2012 second-order perturbative spectral sum rules of rational order via a new trace and fractional Green's function construction.