Zobrazeno 1 - 10
of 946
pro vyhledávání: '"MILLER, STEVEN J."'
Autor:
Cheigh, Justin, Moura, Guilherme Zeus Dantas e, Duke, Jacob Lehmann, Mauro, Annika, McDonald, Zoe, Mello, Anna, Miller, Kayla, Miller, Steven J., Iannuzzelli, Santiago Velazquez
The purpose of this short note is to show the interplay between math outreach and conducting original research, in particular how each can build off the other.
Comment: 9 pages, 5 figures
Comment: 9 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2412.09750
Autor:
Ju, Haoru, Leifer, Daniel, Miller, Steven J., Padmanabhan, Sooraj A., Sun, Chenyang, Tichi, Luke, Tocher, Benjamin, Wallace, Kiley
We study variants of a stochastic game inspired by backgammon where players may propose to double the stake, with the game state dictated by a one-dimensional random walk. Our variants allow for different numbers of proposals and different multiplier
Externí odkaz:
http://arxiv.org/abs/2410.19178
One challenge (or opportunity!) that many instructors face is how varied the backgrounds, abilities, and interests of students are. In order to simultaneously instill confidence in those with weaker preparations and still challenge those able to go f
Externí odkaz:
http://arxiv.org/abs/2411.03330
This paper presents geometric proofs for the irrationality of square roots of select integers, extending classical approaches. Building on known geometric methods for proving the irrationality of sqrt(2), the authors explore whether similar technique
Externí odkaz:
http://arxiv.org/abs/2410.14434
Autor:
Cheek, Timothy, Gilman, Pico, Jaber, Kareem, Miller, Steven J., Sharan, Vismay, Tomé, Marie-Hélène
For a fixed elliptic curve $E$ without complex multiplication, $a_p := p+1 - \#E(\mathbb{F}_p)$ is $O(\sqrt{p})$ and $a_p/2\sqrt{p}$ converges to a semicircular distribution. Michel proved that for a one-parameter family of elliptic curves $y^2 = x^3
Externí odkaz:
http://arxiv.org/abs/2409.18224
Zeckendorf proved a remarkable fact that every positive integer can be written as a decomposition of non-adjacent Fibonacci numbers. Baird-Smith, Epstein, Flint, and Miller converted the process of decomposing a positive integer into its Zeckendorf d
Externí odkaz:
http://arxiv.org/abs/2409.10981
The $n$ queens problem considers the maximum number of safe squares on an $n \times n$ chess board when placing $n$ queens; the answer is only known for small $n$. Miller, Sheng and Turek considered instead $n$ randomly placed rooks, proving the prop
Externí odkaz:
http://arxiv.org/abs/2409.04423
Autor:
Bruda, Glenn, Fang, Bruce, Gilman, Pico, Marquez, Raul, Miller, Steven J., Prapashtica, Beni, Son, Daeyoung, Waheed, Saad, Wang, Janine
Motivated by the rich properties and various applications of recurrence relations, we consider the extension of traditional recurrence relations to matrices, where we use matrix multiplication and the Kronecker product to construct matrix sequences.
Externí odkaz:
http://arxiv.org/abs/2408.12660
Autor:
Chen, Xuyuan, Chu, Hung Viet, Kesumajana, Fadhlannafis K., Kim, Dongho, Li, Liran, Miller, Steven J., Yang, Junchi, Yao, Chris
Let $a, b\in \mathbb{N}$ be relatively prime. Previous work showed that exactly one of the two equations $ax + by = (a-1)(b-1)/2$ and $ax + by + 1 = (a-1)(b-1)/2$ has a nonnegative, integral solution; furthermore, the solution is unique. Let $F_n$ be
Externí odkaz:
http://arxiv.org/abs/2409.02933
Under the generalized Riemann Hypothesis (GRH), Baluyot, Chandee, and Li nearly doubled the range in which the density of low lying zeros predicted by Katz and Sarnak is known to hold for a large family of automorphic $L$-functions with orthogonal sy
Externí odkaz:
http://arxiv.org/abs/2408.09050