Abstract
We study the average order of divisor function, as it ranges over the values of quadratic forms \(m^2+Nn^2\) for a fixed positive squarefree integer N.
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Acknowledgements
We would like to thank the referee for his/her careful reading and helpful comments, in particular, for pointing out the incorrect range for d in the decomposition of \(S_N(X)\).
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This research was supported by the National Natural Science Foundation of China (Grant No. 11501007)
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Dai, H. A note on the number of divisors of forms \(m^2+Nn^2\). Ramanujan J 54, 285–290 (2021). https://doi.org/10.1007/s11139-019-00215-3
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DOI: https://doi.org/10.1007/s11139-019-00215-3