The construction of modular forms as products of transforms of the Dedekind eta function
The Ehrhart polynomial of a lattice -simplex.
The Eisenstein family for the modular group along closed geodescis.
The hybrid mean value of Dedekind sums and two-term exponential sums
In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
The reciprocity theorem for Dedekind-Rademacher sums
Toric varieties, lattice points and Dedekind sums.