Abstract
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.
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© 2013 Springer Science+Business Media New York
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Lapidus, M.L., van Frankenhuijsen, M. (2013). Riemann Hypothesis and Inverse Spectral Problems. In: Fractal Geometry, Complex Dimensions and Zeta Functions. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2176-4_9
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DOI: https://doi.org/10.1007/978-1-4614-2176-4_9
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-2175-7
Online ISBN: 978-1-4614-2176-4
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