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Published in:
2013 | OriginalPaper | Chapter
Riemann Hypothesis and Inverse Spectral Problems
Authors : Michel L. Lapidus, Machiel van Frankenhuijsen
Published in: Fractal Geometry, Complex Dimensions and Zeta Functions
Publisher: Springer New York
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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.