Mean values of divisors twisted by quadratic characters
Volume 195 / 2020
Acta Arithmetica 195 (2020), 69-82
MSC: 11N37, 11L40.
DOI: 10.4064/aa190417-23-7
Published online: 15 April 2020
Abstract
We evaluate the sum $\sum _{m,n}\bigl (\frac {m}{n}\bigr )d(n)$, where $\bigl (\frac {m}{n}\bigr )$ is the Kronecker symbol and $d(n)$ is the divisor function.