Geodesic
Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 606-622

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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.
DOI : 10.4153/CMB-2002-056-6
Mots-clés : 11F22, 17B67, 81T40 
Gannon, Terry. Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine. Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 606-622. doi: 10.4153/CMB-2002-056-6
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