4 papers · 1 filter
A Pair of Diophantine Equations Involving the Fibonacci Numbers
Xuyuan Chen, Hung Viet Chu, Fadhlannafis K. Kesumajana +5
Let be relatively prime. Previous work showed that exactly one of the two equations and has a nonnegative…
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…
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…