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Mean values of divisors twisted by quadratic characters

Volume 195 / 2020

Peng Gao 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.

Authors

  • Peng GaoDepartment of Mathematics
    School of Mathematical Sciences
    Beihang University
    Beijing 100191, P.R. China
    e-mail

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