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Selected Works of Paul Gunnells
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Units, polyhedra, and a conjecture of Satake
Mathematics and Statistics Department Faculty Publication Series
  • PE Gunnells, University of Massachusetts - Amherst
  • J Sturm
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Publication Date
2002
Abstract

Let F/Q be a totally real number field of degree n. We explicitly evaluate a certain sum of rational functions over a infinite fan of F-rational polyhedral cones in terms of the norm map N: F ¨ Q. This completes Sczechfs combinatorial proof of Satakefs conjecture connecting the special values of L-series associated to cusp singularities with intersection numbers of divisors in their toroidal resolutions [Sc2].

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This is the pre-published version harvested from ArXiv.

Citation Information
PE Gunnells and J Sturm. "Units, polyhedra, and a conjecture of Satake" (2002)
Available at: http://works.bepress.com/paul_gunnells/11/