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math.NT1999
Evaluation of Dedekind sums, Eisenstein cocycles, and special values of L-functions
Paul E. Gunnells, Robert Sczech
We define certain higher-dimensional Dedekind sums that generalize the classical Dedekind-Rademacher sums, and show how to compute them effectively using a generalization of the co…
math.NT1999
Toric modular forms and nonvanishing of L-functions
Lev A. Borisov, Paul E. Gunnells
In a previous paper \cite{BorGunn}, we defined the space of toric forms $\TTT(l)$, and showed that it is a finitely generated subring of the holomorphic modular forms of integral w…
math.NT1999
Toric varieties and modular forms
Lev A. Borisov, Paul E. Gunnells
Let $N\subset \RR^{r}$ be a lattice, and let $°\colon N \to \CC$ be a piecewise-linear function that is linear on the cones of a complete rational polyhedral fan. Under certain con…