127 citations · 1.2k across the 174 of their papers we have counts for
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Coordinate sum and difference sets of -dimensional modular hyperbolas
Amanda Bower, Ron Evans, Victor Luo +1
Many problems in additive number theory, such as Fermat's last theorem and the twin prime conjecture, can be understood by examining sums or differences of a set with itself. A fin…
Quadratic fields with cyclic 2-class groups
Carlos Dominguez, Steven J. Miller, Siman Wong
For any integer , we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order . The proof combines the circle method with…
The Average Gap Distribution for Generalized Zeckendorf Decompositions
Olivia Beckwith, Amanda Bower, Louis Gaudet +4
An interesting characterization of the Fibonacci numbers is that, if we write them as , , , , then every positive integer can be written un…
The Pythagorean Won-Loss Formula and Hockey: A Statistical Justification for Using the Classic Baseball Formula as an Evaluative Tool in Hockey
Kevin D. Dayaratna, Steven J. Miller
Originally devised for baseball, the Pythagorean Won-Loss formula estimates the percentage of games a team should have won at a particular point in a season. For decades, this form…
The n-level densities of low-lying zeros of quadratic Dirichlet L-functions
Jake Levinson, Steven J. Miller
Previous work by Rubinstein and Gao computed the n-level densities for families of quadratic Dirichlet L-functions for test functions where the sum of the supports of the Fourier t…
First Order Approximations of the Pythagorean Won-Loss Formula for Predicting MLB Teams' Winning Percentages
Kevin D. Dayaratna, Steven J. Miller
We mathematically prove that an existing linear predictor of baseball teams' winning percentages (Jones and Tappin 2005) is simply just a first-order approximation to Bill James' P…