3 citations · 3 across the 6 of their papers we have counts for
5 papers · 1 filter
Finding and Counting MSTD sets
Geoffrey Iyer, Oleg Lazarev, Steven J. Miller +1
We review the basic theory of More Sums Than Differences (MSTD) sets, specifically their existence, simple constructions of infinite families, the proof that a positive percentage…
Gaussian Behavior in Generalized Zeckendorf Decompositions
Steven J. Miller, Yinghui Wang
A beautiful theorem of Zeckendorf states that every integer can be written uniquely as a sum of non-consecutive Fibonacci numbers ; Lekkerkerker proved that…
An elliptic curve test of the L-Functions Ratios Conjecture
Duc Khiem Huynh, Steven J. Miller, Ralph Morrison
We compare the L-Function Ratios Conjecture's prediction with number theory for the family of quadratic twists of a fixed elliptic curve with prime conductor, and show agreement in…
Modeling Convolutions of -Functions
Steven J. Miller, Ralph Morrison
A number of mathematical methods have been shown to model the zeroes of -functions with remarkable success, including the Ratios Conjecture and Random Matrix Theory. In order to…
Moments of the rank of elliptic curves
Siman Wong
Fix an elliptic curve $E/\Q$, and assume the generalized Riemann hypothesis for the -function for every quadratic twist of by . We combine Weil's…