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Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 2002