The Riemann hypothesis and pseudorandom features of the Möbius sequence

Authors:
I. J. Good and R. F. Churchhouse

Journal:
Math. Comp. **22** (1968), 857-861

MSC:
Primary 10.41

DOI:
https://doi.org/10.1090/S0025-5718-1968-0240062-8

MathSciNet review:
0240062

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Abstract: A study of the cumulative sums of the Möbius function on the Atlas Computer of the Science Research Council has revealed certain statistical properties which lead the authors to make a number of conjectures. One of these is that any conjecture of the Mertens type, viz.

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DOI:
https://doi.org/10.1090/S0025-5718-1968-0240062-8

Article copyright:
© Copyright 1968
American Mathematical Society