R. Pinch

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math.NT2005

Some properties of the pseudo-Smarandache function

R. G. E. Pinch

We answer a number of questions relating to the pseudo-Smarandache function Z(n). We show that the ratio of consecutive values $Z (n + 1) / Z (n)$ and $Z (n - 1) / Z (n)$ are unbounded; that $…

math.NT1998

Elliptic curves with good reduction away from 2: III

Richard G. E. Pinch

We list the elliptic curves defined over $Q (5)$ with good reduction away from 2. There are 368 isomorphism classes. We give a global minimal model for each class.

math.NT1998

Economical numbers

Richard G. E. Pinch

A number $n$ is said to be economical if the prime power factorisation of $n$ can be written with no more digits than $n$ itself. We show that under a plausible hypothesis, related…