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pro vyhledávání: '"Dorward, Robert"'
Autor:
Dorward, Robert
In this undergraduate thesis, we expand on the study of statistics on restricted growth functions avoiding patterns initiated by Campbell, et. al. Restricted growth functions are of interest because they are in bijection with set partitions. We exami
Externí odkaz:
http://arxiv.org/abs/2003.05073
Autor:
Campbell, Lindsey R., Dahlberg, Samantha, Dorward, Robert, Gerhard, Jonathan, Grubb, Thomas, Purcell, Carlin, Sagan, Bruce E.
A restricted growth function (RGF) of length n is a sequence w = w_1 w_2 ... w_n of positive integers such that w_1 = 1 and w_i is at most 1 + max{w_1,..., w_{i-1}} for i at least 2. RGFs are of interest because they are in natural bijection with set
Externí odkaz:
http://arxiv.org/abs/1605.04807
In 2000 Iwaniec, Luo, and Sarnak proved for certain families of $L$-functions associated to holomorphic newforms of square-free level that, under the Generalized Riemann Hypothesis, as the conductors tend to infinity the one-level density of their ze
Externí odkaz:
http://arxiv.org/abs/1604.03224
Autor:
Dorward, Robert, Ford, Pari L., Fourakis, Eva, Harris, Pamela E., Palsson, Eyvindur A., Paugh, Hannah
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers. The distribution of the number of summands converges to a Gaussian, and the individual measures on gaps between summands
Externí odkaz:
http://arxiv.org/abs/1509.03029
Autor:
Dorward, Robert, Ford, Pari L., Fourakis, Eva, Harris, Pamela E., Miller, Steven J., Palsson, Eyvindur A., Paugh, Hannah
Publikováno v:
Involve 10 (2017) 125-150
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy $F_n=F_{n-1}+F_{n-2}$ for $n\geq 3$, $F_1=1$ and $F_2=2$. The distribution of the num
Externí odkaz:
http://arxiv.org/abs/1508.07531
Autor:
Dahlberg, Samantha, Dorward, Robert, Gerhard, Jonathan, Grubb, Thomas, Purcell, Carlin, Reppuhn, Lindsey, Sagan, Bruce E.
A set partition $\sigma$ of $[n]=\{1,\dots,n\}$ contains another set partition $\pi$ if restricting $\sigma$ to some $S\subseteq[n]$ and then standardizing the result gives $\pi$. Otherwise we say $\sigma$ avoids $\pi$. For all sets of patterns consi
Externí odkaz:
http://arxiv.org/abs/1502.00056
Autor:
Campbell, Lindsey R., Dahlberg, Samantha, Dorward, Robert, Gerhard, Jonathan, Grubb, Thomas, Purcell, Carlin, Sagan, Bruce E.
Publikováno v:
In Advances in Applied Mathematics September 2018 100:1-42
Publikováno v:
Research in Number Theory; 12/5/2017, Vol. 3 Issue 1, p1-21, 21p
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