Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis
Work
Year: 2021
Type: article
Abstract: The validity of the Riemann Hypothesis (RH) on the location of the non-trivial zeros of the Riemann $\zeta$-function is directly related to the growth of the Mertens function $M(x) \,=\,\sum_{k=1}^x \... more
Authors Giuseppe Mussardo, André LeClair
Institutions Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, University of Trieste, Scuola Internazionale Superiore di Studi Avanzati, Cornell University
Cites: 167
Cited by: 5
Related to: 10
FWCI: 1.545
Citation percentile (by year/subfield): 89.03
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Peace, justice, and strong institutions
Open Access status: green