Zobrazeno 1 - 10
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pro vyhledávání: '"Oliver, Robert A."'
Autor:
Oliver, Robert J. Lemke
Let $k$ be a number field. We provide an asymptotic formula for the number of Galois extensions of $k$ with absolute discriminant bounded by some $X \geq 1$, as $X\to\infty$. We also provide an asymptotic formula for the closely related count of exte
Externí odkaz:
http://arxiv.org/abs/2406.04033
Given a finite group G, we prove that the vector space spanned by the faithful irreducible characters of G is generated by the monomial characters in the vector space. As a consequence, we show that in any family of G-extensions of a fixed number fie
Externí odkaz:
http://arxiv.org/abs/2405.08383
Autor:
Fox, Oliver Robert, Bergami, Giacomo
This seminal paper proposes a new query language for graph matching and rewriting overcoming {the declarative} limitation of Cypher while outperforming {Neo4j} on graph matching and rewriting by at least one order of magnitude. We exploited columnar
Externí odkaz:
http://arxiv.org/abs/2403.07481
Autor:
Rider, Marie S., Johnson, Edwin C., Bates, Demetris, Wardley, William P., Gordon, Robert H., Oliver, Robert D. J., Armes, Steven P., Leggett, Graham J., Barnes, William L.
We provide a simple method that enables readily acquired experimental data to be used to predict whether or not a candidate molecular material may exhibit strong coupling. Specifically, we explore the relationship between the hybrid molecular/photoni
Externí odkaz:
http://arxiv.org/abs/2402.09885
Autor:
Oliver, Robert J. Lemke
A folklore conjecture asserts the existence of a constant $c_n > 0$ such that $\#\mathcal{F}_n(X) \sim c_n X$ as $X\to \infty$, where $\mathcal{F}_n(X)$ is the set of degree $n$ extensions $K/\mathbb{Q}$ with discriminant bounded by $X$. This conject
Externí odkaz:
http://arxiv.org/abs/2311.06947
We prove normal distribution laws for primes of bad semistable reduction in families of curves. As a consequence, we deduce that when ordered by height, $100\%$ of curves in these families have, in a precise sense, many such primes.
Comment: 12
Comment: 12
Externí odkaz:
http://arxiv.org/abs/2305.15874
Autor:
Bergami, Giacomo1 (AUTHOR) giacomo.bergami@newcastle.ac.uk, Fox, Oliver Robert1 (AUTHOR), Morgan, Graham1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Sep2024, Vol. 12 Issue 17, p2677. 62p.
Autor:
Rider Marie S., Johnson Edwin C., Bates Demetris, Wardley William P., Gordon Robert H., Oliver Robert D. J., Armes Steven P., Leggett Graham J., Barnes William L.
Publikováno v:
Nanophotonics, Vol 13, Iss 14, Pp 2453-2467 (2024)
We provide a simple method that enables readily acquired experimental data to be used to predict whether or not a candidate molecular material may exhibit strong coupling. Specifically, we explore the relationship between the hybrid molecular/photoni
Externí odkaz:
https://doaj.org/article/841ab7ec58344cbfb54e48109a6d1a7f
Autor:
Anderson, Theresa C., Gafni, Ayla, Hughes, Kevin, Oliver, Robert J. Lemke, Lowry-Duda, David, Thorne, Frank, Wang, Jiuya, Zhang, Ruixiang
We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/2204.01651
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2677 (2024)
Graph query languages such as Cypher are widely adopted to match and retrieve data in a graph representation, due to their ability to retrieve and transform information. Even though the most natural way to match and transform information is through r
Externí odkaz:
https://doaj.org/article/8fa0906e335c44f2ba9bd4f72870c0d9