Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Luntzlara, Noah"'
Autor:
Blackwell, Keller, Borade, Neelima, Bose, Arup, VI, Charles Devlin, Luntzlara, Noah, Ma, Renyuan, Miller, Steven J., Mukherjee, Soumendu Sundar, Wang, Mengxi, Xu, Wanqiao
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of $L$-functions; this correspondence has allowed RMT to successfully predict many number theoretic behaviors. However there are some ope
Externí odkaz:
http://arxiv.org/abs/2102.05839
Autor:
Burcroff, Amanda, Luntzlara, Noah
A subset $C$ of an abelian group $G$ is a minimal additive complement to $W \subseteq G$ if $C + W = G$ and if $C' + W \neq G$ for any proper subset $C' \subset C$. In this paper, we study which sets of integers arise as minimal additive complements.
Externí odkaz:
http://arxiv.org/abs/2006.12481
Autor:
Chu, Hung V., King, Dylan, Luntzlara, Noah, Martinez, Thomas C., Miller, Steven J., Shao, Lily, Sun, Chenyang, Xu, Victor
Given a finite set of integers $A$, its sumset is $A+A:= \{a_i+a_j \mid a_i,a_j\in A\}$. We examine $|A+A|$ as a random variable, where $A\subset I_n = [0,n-1]$, the set of integers from 0 to $n-1$, so that each element of $I_n$ is in $A$ with a fixe
Externí odkaz:
http://arxiv.org/abs/2005.07981
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 in depth recurrence relations. As these are discrete analogues of diff
Externí odkaz:
http://arxiv.org/abs/1911.09238
Autor:
Blackwell, Keller, Borade, Neelima, VI, Charles Devlin, Luntzlara, Noah, Ma, Renyuan, Miller, Steven J., Wang, Mengxi, Xu, Wanqiao
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of $L$-functions. Many statistics in one can be interpreted in terms of quantities of the other; for example, zeros of $L$-functions corr
Externí odkaz:
http://arxiv.org/abs/1908.03834
Autor:
Hammonds, Trajan, Kothari, Casimir, Luntzlara, Noah, Miller, Steven J., Thorner, Jesse, Wieman, Hunter
Publikováno v:
Int. J. Number Theory 17 (2021) No. 8, 1905-1923
Let $\tau(n)$ be Ramanujan's tau function, defined by the discriminant modular form \[ \Delta(z) = q\prod_{j=1}^{\infty}(1-q^{j})^{24}\ =\ \sum_{n=1}^{\infty}\tau(n) q^n \,,q=e^{2\pi i z} \] (this is the unique holomorphic normalized cuspidal newform
Externí odkaz:
http://arxiv.org/abs/1906.07903
Autor:
Burcroff, Amanda, Luntzlara, Noah
Publikováno v:
In Journal of Number Theory June 2023 247:15-34
A set $A$ is MSTD (more-sum-than-difference) if $|A+A|>|A-A|$. Though MSTD sets are rare, Martin and O'Bryant proved that there exists a positive constant lower bound for the proportion of MSTD subsets of $\{1,2,\ldots ,r\}$ as $r\rightarrow\infty$.
Externí odkaz:
http://arxiv.org/abs/1808.05460
A set $A$ is MSTD (more-sum-than-difference) or sum-dominant if $|A+A|>|A-A|$, and is RSD (restricted-sum dominant) if $|A\hat{+}A|>|A-A|$, where $A\hat{+}A$ is the set of sums of distinct elements in $A$. We study an interesting family of MSTD sets
Externí odkaz:
http://arxiv.org/abs/1808.05501
Autor:
Chu, Hùng Việt, King, Dylan, Luntzlara, Noah, Martinez, Thomas C., Miller, Steven J., Shao, Lily, Sun, Chenyang, Xu, Victor
Publikováno v:
In Journal of Number Theory October 2022 239:402-444