Nuno Arala

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20212024

most citedA maximal extension of the Bloom-Maynard bound for sets with no square differences

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math.NT2023

The analytic Hasse Principle for certain singular intersections of quadrics in $P^{9}$

Nuno Arala

For a pair of quadratic forms with rational coefficients in at least $10$ variables, we prove an asymptotic formula for the number of common zeros under the assumption that the two…

math.NT2023★ 1 cited

A maximal extension of the Bloom-Maynard bound for sets with no square differences

Nuno Arala

We show that if $h \in Z [x]$ is a polynomial of degree $k$ such that the congruence $h (x) \equiv 0 (mod q)$ has a solution for every positive integer $q$ , then any subset of $…

The analytic Hasse Principle for certain singular intersections of quadrics in P9

A maximal extension of the Bloom-Maynard bound for sets with no square differences

The analytic Hasse Principle for certain singular intersections of quadrics in $P^{9}$