On the Riemann Hypothesis
Pathikrit Basu *
20128 White Cloud Circle, West Linn, Oregon-97068, United States.
*Author to whom correspondence should be addressed.
Abstract
This paper provides an exact characterisation of the zeroes of the Riemann zeta function. The characterisation is based on a theorem about random vectors, which says that under some conditions, if a vector is always in the convex hull of the conditional expectations corresponding to any two mutually exclusive and exhaustive events, then the unconditional expectation of the random vector is equal to that vector.
Keywords: Riemann zeta function, conditional expectations, law of total probability, Riemann Hypothesis