2 papers
math.NT2000
A Rationality Condition for the Existence of Odd Perfect Numbers
Simon Davis
A rationality condition is derived for the existence of odd perfect numbers involving the square root of a product, which consists of a sequence of repunits, multiplied by twice th…
math-ph1998
Spin Structures on Riemann Surfaces and the Perfect Numbers
Simon Davis
The equality between the number of odd spin structures on a Riemann surface of genus g, with being a Mersenne prime, and the even perfect numbers, is an indication that t…