85 citations · 85 across the 2 of their papers we have counts for
3 papers
math.NT2013
Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function
Hafedh Herichi, Michel L. Lapidus
We survey some of the universality properties of the Riemann zeta function and then explain how to obtain a natural quantization of Voronin's universality theorem (and of it…
math.FA2012
Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator
Hafedh Herichi, Michel L. Lapidus
A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second author and H. Maier in terms of an inverse spectral problem for fractal strings. This probl…
math-ph2012★ 85 cited
Riemann Zeroes and Phase Transitions via the Spectral Operator on Fractal Strings
Hafedh Herichi, Michel L. Lapidus
The spectral operator was introduced by M. L. Lapidus and M. van Frankenhuijsen [La-vF3] in their reinterpretation of the earlier work of M. L. Lapidus and H. Maier [LaMa2] on inve…