K. Thompson

activity

20062023

most citedA Generalization of Mordell to Ternary Quadratic Forms

1 citations · 1 across the 9 of their papers we have counts for

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math.NT2023

Quartic Integral Polynomial Pell Equations

Zachary Scherr, Katherine Thompson

In this paper we classify all monic, quartic, polynomials $d (x) \in Z [x]$ for which the Pell equation $f (x)^{2} - d (x) g (x)^{2} = 1$ has a non-trivial solution with $f(x),g(x)\in\m…

math.NT2023

Densities of integer sets represented by quadratic forms

Pete L. Clark, Paul Pollack, Jeremy Rouse +1

Let $f (t_{1}, \dots, t_{n})$ be a nondegenerate integral quadratic form. We analyze the asymptotic behavior of the function $D_{f} (X)$ , the number of integers of absolute value up to $X$ …