9 citations · 19 across the 6 of their papers we have counts for
5 papers · 1 filter
Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of -Functions
Megumi Asada, Ryan Chen, Eva Fourakis +9
Let be a nontrivial one-parameter family of elliptic curves over , with , and consider the \te…
Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters
Blake Mackall, Steven J. Miller, Christina Rapti +5
While Random Matrix Theory has successfully modeled many quantities of families of L-functions, it frequently cannot see the family's arithmetic. In some situations this requires a…
Subsets of free of 3-term geometric progressions
Megumi Asada, Eva Fourakis, Sarah Manski +3
Several recent papers have considered the Ramsey-theoretic problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has a…
Individual Gap Measures from Generalized Zeckendorf Decompositions
Robert Dorward, Pari L. Ford, Eva Fourakis +3
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers. The distribution of the number of summands converge…
A Generalization of Zeckendorf's Theorem via Circumscribed -gons
Robert Dorward, Pari L. Ford, Eva Fourakis +4
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy $F_n=F_{n-1}+F_…