John Friedlander [a] and Henryk Iwaniec [b]
Sums over vanishing determinants
Pages: 49-62
Received: 3 February 2020
Accepted in revised form: 19 March 2020
Mathematics Subject Classification (2010): 11N25, 11N56.
Keywords: Gaussian integers, large sieve inequality.
Authors address:
[a]: University of Toronto, 1265 Military Trail, Toronto, ON M1C 1A4, Canada
[b]: Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08903, USA
Abstract: In analytic number theory one frequently needs to estimate various bilinear sums, in particular exponentials with Kloosterman type fractions. Here, we establish bounds which go beyond the straight-forward approach.