17 citations · 44 across the 6 of their papers we have counts for
Showing 2016 · math-phShow all
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math-ph2016★ 4 cited
Relating Zeta Functions of Discrete and Quantum Graphs
Jonathan Harrison, Tracy Weyand
We write the spectral zeta function of the Laplace operator on an equilateral metric graph in terms of the spectral zeta function of the normalized Laplace operator on the correspo…
math-ph2016★ 8 cited
Zeta Functions of the Dirac Operator on Quantum Graphs
J. M. Harrison, T. Weyand, K. Kirsten
We construct spectral zeta functions for the Dirac operator on metric graphs. We start with the case of a rose graph, a graph with a single vertex where every edge is a loop. The t…