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math.NT2022★ 2 cited
Application of a polynomial sieve: beyond separation of variables
Dante Bonolis, Lillian B. Pierce
Let a polynomial be given. The square sieve can provide an upper bound for the number of integral such that $f(\mathbf{…
math.NT2022
Density of rational points on some quadric bundle threefolds
Dante Bonolis, Tim Browning, Zhizhong Huang
We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1,2). The proof uses a…