3 papers
math.NT2024
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…
math.NT2024
Limiting Behavior in Missing Sums of Sumsets
Aditya Jambhale, Rauan Kaldybayev, Steven J. Miller +1
We study as a random variable, where is a random subset such that each is included with probability , and where $…
math.CO2023
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,…