The Tensor Emptiness of Certain Lattice Subsets Arising from the Hardy-Littlewood Circle Method

We set up some notation. Q, A are large positive integers with Q = 100 · A ³, and x = AQ. Let ℒ Q https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203747018/bef25d74-ef02-4914-ac4f-27ec89fc30ac/content/eq2050.tif"/> denote the integer lattice [Q, 2Q) × [Q, 2Q).