4 papers · 1 filter
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…
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…
A smooth space of tetrahedra
Eric Babson, Paul E. Gunnells, Richard Scott
We construct a smooth symmetric compactification of the space of all labeled tetrahedra in P^3.
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…