5 papers
A Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…
A Survey of a Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…
Applications of Moments of Dirichlet Coefficients in Elliptic Curve Families
Zoë Batterman, Aditya Jambhale, Steven J. Miller +4
The moments of the coefficients of elliptic curve L-functions are related to numerous arithmetic problems. Rosen and Silverman proved a conjecture of Nagao relating the first momen…
The Hamming Distance and the Fell Topology on AF Algebras
Konrad Aguilar, Zoë X. Batterman
We introduce a new metric on the ideal space of an AF algebra that metrizes the Fell topology. The novelty of this metric lies in the use of a Hamming distance type metric in its c…
The Reversed Zeckendorf Game
Zoë X. Batterman, Aditya Jambhale, Steven J. Miller +4
Zeckendorf proved that every natural number can be expressed uniquely as a sum of non-consecutive Fibonacci numbers, called its Zeckendorf decomposition. Baird-Smith, Epstein,…