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math.NT2026
Lattice point visibility along powers of quadratic polynomials
Abraham Lobsenz, Tristan Phillips
We study the growth of the number of invisible lattice points along powers of quadratic polynomials. Let have a positive leading coefficient and no…
math.NT2026
Upper bounds for moments of analytic ranks of elliptic curves over number fields
Tristan Phillips, Saahil Sharma
We prove a conditional upper bound for moments of the analytic rank of elliptic curves over number fields. We also prove conditional bounds for the density of elliptic curves with…
math.NT2026
Lattice point visibility along powers of polynomials
Abraham Lobsenz, Tristan Phillips
We study lattice point visibility along polynomial lines of sight and give a new proof of the Visibility Density Conjecture of Chaubey and Pandey for a large class of polynomials.