Riemann Hypothesis and Inverse Spectral Problems
In this chapter, we provide an alternative formulation of the Riemann hypothesis in terms of a natural inverse spectral problem for fractal strings. After stating this inverse problem in Section 9.1, we show in Section 9.2 that its solution is equivalent to the nonexistence of critical zeros of the Riemann zeta function on a given vertical line.
KeywordsZeta Function Complex Dimension Riemann Zeta Function Riemann Hypothesis Inverse Spectral Problem
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