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Journal of the Ramanujan Mathematical Society

Volume 36, Issue 2, June 2021  pp. 129–146.

Large Sieve inequality in Q(i) with quadratic polynomial amplitudes

Authors:  Arpit Bansal
Author institution:Jawaharlal Nehru University, School of Physical Sciences, New Delhi 110067, India

Summary:  We establish a general large sieve inequality in the number field Q(i) with amplitudes given by a quadratic polynomial with complex coefficients, which is a close to best possible version. This extends earlier work of L. Zhao for the classical case. We also give an alternate proof of a large sieve inequality over Q(i).

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