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math.NT2018
Mean values and moments of arithmetic functions over number fields
Jaitra Chattopadhyay, Pranendu Darbar
For an odd integer and a finite Galois extension of degree , G. Lü and Z. Yang \cite{lu3} obtained an asymptotic formula for the mean values of the diviso…
math.NT2018★ 1 cited
Bombieri-type theorem for convolution of arithmetic functions on Number field
Pranendu Darbar, Anirban Mukhopadhyay
Let be an imaginary quadratic number field of class number one and be its ring of integers. We show that, if the arithmetic functions $f, g:\mathcal{O}_K\righta…