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math.NT2002
Units, polyhedra, and a conjecture of Satake
Paul E. Gunnells, Jacob Sturm
Let $F/\QQ $ be a totally real number field of degree . We explicitly evaluate a certain sum of rational functions over a infinite fan of -rational polyhedral cones in terms…
math.NT2002
Toric modular forms of higher weight
Lev A. Borisov, Paul E. Gunnells
In two previous papers we used the geometry of complete polyhedral fans to construct a subring $\TTT (l)$ of the modular forms on , and showed that for weight two the cu…