Aditya Jambhale

collaborators

4 papers

math.NT2024

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 $L$ -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…

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 $L$ -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 $∣ A + A ∣$ as a random variable, where $A \subseteq {0, \dots, N}$ is a random subset such that each $0 \leq n \leq N$ is included with probability $0 < p < 1$ , and where $…

math.CO2023

The Reversed Zeckendorf Game

Zoë X. Batterman, Aditya Jambhale, Steven J. Miller +4

Zeckendorf proved that every natural number $n$ can be expressed uniquely as a sum of non-consecutive Fibonacci numbers, called its Zeckendorf decomposition. Baird-Smith, Epstein,…