A Bombieri-type theorem for convolution with application on number field
Acta Mathematica Hungarica
Let K be an imaginary quadratic number field and OK be itsring of integers. We show that, if the arithmetic functions f, g: OK→ C both havelevel of distribution ϑ for some 0 < ϑ≤ 1 / 2 then the Dirichlet convolution f∗ galso has level of distribution ϑ. As an application we also obtain an analogue ofthe Titchmarsh divisor problem for product of two primes in imaginary quadraticfields.
Darbar, P. and Mukhopadhyay, A., "A Bombieri-type theorem for convolution with application on number field" (2021). Journal Articles. 2106.