DR. GRANVILLE ON COUNTER-IRRITATION.

The Theory and Practice of Counter-Irritation

supports. The author reviews at considerable length the history of the idea; but he does not wish to be esteemed an apostle of counterirritation : he expresses himself "more in sympathy with those who hold that 'the Devil himself, old Beelzebub, is nothing but a great Cantharid' (Baynard) than with those who would commend twelve consecutive applications of actual cautery for the cure of sciatic...

Andrew Granville )

On the 800th anniversary of the publication of Liber Abaci, I wish to draw the attention of the reader to some of my favorite facts about Fibonacci numbers concerning squares, multiples of squares and powerful numbers amongst the Fibonacci numbers.

Greater Granville Regeneration Strategy.

An urban regeneration health impact assessment (HIA) was conducted collaboratively with three major government agencies and the local community in 2005 and 2006 to identify health impacts of a major land use strategy outlined in the consultant's report for the Greater Granville Regeneration Plan - Stage 1 (Sydney: Hassall Pty Limited, 2005). Health impacts were identified and agreed recommendat...

2 Andrew Granville And

Improving on a result of J.E. Littlewood, N. Levinson [3] showed that there are arbitrarily large t for which |ζ(1 + it)| ≥ e log2 t + O(1). (Throughout ζ(s) is the Riemann-zeta function, and logj denotes the j-th iterated logarithm, so that log1 n = logn and logj n = log(logj−1 n) for each j ≥ 2.) The best upper bound known is Vinogradov’s |ζ(1 + it)| ≪ (log t). Littlewood had shown that |ζ(1 ...

Ross Granville Harrison 1870-1959