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math.NT2022
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…
math.NT2022
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…
math.NT2022
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 .…