1. CMB 2002 (vol 45 pp. 606)
|Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine |
We begin by reviewing Monstrous Moonshine. The impact of Moonshine on algebra has been profound, but so far it has had little to teach number theory. We introduce (using `postcards') a much larger context in which Monstrous Moonshine naturally sits. This context suggests Moonshine should indeed have consequences for number theory. We provide some humble examples of this: new generalisations of Gauss sums and quadratic reciprocity.
Categories:11F22, 17B67, 81T40