1 citations · 1 across the 9 of their papers we have counts for
12 papers
Quartic Integral Polynomial Pell Equations
Zachary Scherr, Katherine Thompson
In this paper we classify all monic, quartic, polynomials for which the Pell equation has a non-trivial solution with $f(x),g(x)\in\m…
Densities of integer sets represented by quadratic forms
Pete L. Clark, Paul Pollack, Jeremy Rouse +1
Let be a nondegenerate integral quadratic form. We analyze the asymptotic behavior of the function , the number of integers of absolute value up to …
Palindromic Polynomials over Finite Fields
Geoffrey Price, Katherine Thompson
For any finite field and any positive integer we count the number of monic polynomials of degree over with nonzero constant coefficient and a self…
Elementary Proofs of Representation by Ternary Quadratic Forms
Benjamin Rainear, Katherine Thompson
Mordell in 1958 gave a new proof of the three squares theorem. Those techniques were generalized by Blackwell, et al., in 2016 to characterize the integers represented by the remai…
Quaternary quadratic forms with prime discriminant
Jeremy Rouse, Katherine Thompson
Let be a positive-definite quaternary quadratic form with prime discriminant. We give an explicit lower bound on the number of representations of a positive integer by .…
Numbers Represented by a Finite Set of Binary Quadratic Forms
Christopher Donnay, Havi Ellers, Kate O'Connor +2
Every quadratic form represents 0; therefore, if we take any number of quadratic forms and ask which integers are simultaneously represented by all members of the collection, we ar…