4 citations · 10 across the 8 of their papers we have counts for
8 papers
Distribution of Eigenvalues of Matrix Ensembles arising from Wigner and Palindromic Toeplitz Blocks
Keller Blackwell, Neelima Borade, Arup Bose +7
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of -functions; this correspondence has allowed RMT to successful…
Sets Arising as Minimal Additive Complements in the Integers
Amanda Burcroff, Noah Luntzlara
A subset of an abelian group is a minimal additive complement to if and if for any proper subset . In this paper,…
Generalizing the Distribution of Missing Sums in Sumsets
Hung V. Chu, Dylan King, Noah Luntzlara +5
Given a finite set of integers , its sumset is . We examine as a random variable, where , the set of integer…
Recurrence Relations and Benford's Law
Madeleine Farris, Noah Luntzlara, Steven J. Miller +2
There are now many theoretical explanations for why Benford's law of digit bias surfaces in so many diverse fields and data sets. After briefly reviewing some of these, we discuss…
Distribution of Eigenvalues of Random Real Symmetric Block Matrices
Keller Blackwell, Neelima Borade, Charles Devlin VI +5
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of -functions. Many statistics in one can be interpreted in term…
The Explicit Sato-Tate Conjecture For Primes In Arithmetic Progressions
Trajan Hammonds, Casimir Kothari, Noah Luntzlara +3
Let be Ramanujan's tau function, defined by the discriminant modular form \[ Δ(z) = q\prod_{j=1}^{\infty}(1-q^{j})^{24}\ =\ \sum_{n=1}^{\infty}τ(n) q^n \,,q=e^{2πi z} \] (th…
Generalizations of a Curious Family of MSTD Sets Hidden By Interior Blocks
Hung Viet Chu, Noah Luntzlara, Steven J. Miller +1
A set is MSTD (more-sum-than-difference) or sum-dominant if , and is RSD (restricted-sum dominant) if , where is the set of sums of…
Infinite Families of Partitions into MSTD Subsets
Hung Viet Chu, Noah Luntzlara, Steven J. Miller +1
A set is MSTD (more-sum-than-difference) if . Though MSTD sets are rare, Martin and O'Bryant proved that there exists a positive constant lower bound for the propo…