Solvable lattice sums and quadratic Dirichlet $L$-values
Volume 203 / 2022
Acta Arithmetica 203 (2022), 227-238
MSC: Primary 11H06; Secondary 11F27.
DOI: 10.4064/aa201104-31-8
Published online: 14 April 2022
Abstract
We study how to express the Epstein zeta functions of binary quadratic forms in terms of a finite number of quadratic Dirichlet $L$-values. We prove a conjecture raised by Zucker and Robertson in 1984.