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6 papers · 1 filter
Muonic hydrogen and MeV forces
David Tucker-Smith, Itay Yavin
We explore the possibility that a new interaction between muons and protons is responsible for the discrepancy between the CODATA value of the proton radius and the value deduced f…
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…
Searching in Dynamic Tree-Like Partial Orders
Brent Heeringa, Marius Catalin Iordan, Louis Theran
We give the first data structure for the problem of maintaining a dynamic set of n elements drawn from a partially ordered universe described by a tree. We define the Line-Leaf Tre…
Effective equidistribution and the Sato-Tate law for families of elliptic curves
Steven J. Miller, M. Ram Murty
Extending recent work of others, we provide effective bounds on the family of all elliptic curves and one-parameter families of elliptic curves modulo p (for p prime tending to inf…
Low-lying Zeros of Number Field -functions
Steven J. Miller, Ryan Peckner
One of the most important statistics in studying the zeros of L-functions is the 1-level density, which measures the concentration of zeros near the central point. Fouvry and Iwani…
Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices
Steven Jackson, Steven J. Miller, Thuy Pham
Consider the ensemble of real symmetric Toeplitz matrices whose entries are i.i.d random variables chosen from a fixed probability distribution p of mean 0, variance 1 and finite h…