Zobrazeno 1 - 10
of 16 519
pro vyhledávání: '"A. Lenny"'
Autor:
Jones, Lenny
A series of recent articles has shown that there exist only three monogenic cyclic quartic trinomials in ${\mathbb Z}[x]$, and they are all of the form $x^4+bx^2+d$. In this article, we conduct an analogous investigation for cubic trinomials in ${\ma
Externí odkaz:
http://arxiv.org/abs/2412.13075
Autor:
Jones, Lenny
A monic polynomial $f(x)\in {\mathbb Z}[x]$ of degree $n$ that is irreducible over ${\mathbb Q}$ is called cyclic if the Galois group over ${\mathbb Q}$ of $f(x)$ is the cyclic group of order $n$, while $f(x)$ is called monogenic if $\{1,\theta,\thet
Externí odkaz:
http://arxiv.org/abs/2411.10572
Autor:
Jones, Lenny
We say that a monic polynomial $f(x)\in {\mathbb Z}[x]$ of degree $N$ is monogenic if $f(x)$ is irreducible over ${\mathbb Q}$ and $\{1,\theta,\theta^2,\ldots ,\theta^{N-1}\}$ is a basis for ${\mathbb Z}_K$, the ring of integers of $K={\mathbb Q}(\th
Externí odkaz:
http://arxiv.org/abs/2411.00523
Autor:
Fukshansky, Lenny, Jeong, Sehun
Assuming an integral quadratic polynomial with nonsingular quadratic part has a nontrivial zero on an integer lattice outside of a union of finite-index sublattices, we prove that there exists such a zero of bounded norm and provide an explicit bound
Externí odkaz:
http://arxiv.org/abs/2409.10867
We study approximation properties of the Fr\'{e}chet space of all continuously differentiable functions $\tau$ such that $\tau'(x)=o(1)$ and such that their Laplace transforms admit entire extensions to $\mathbb{C}$. As an application, these approxim
Externí odkaz:
http://arxiv.org/abs/2407.15547
Autor:
Brantner, Lukas, Taelman, Lenny
We study deformations of Calabi-Yau varieties in characteristic $p$ using techniques from derived algebraic geometry. We prove a mixed characteristic analogue of the Bogomolov-Tian-Todorov theorem (which states that Calabi-Yau varieties in characteri
Externí odkaz:
http://arxiv.org/abs/2407.09256
We study inclusion relations between Gelfand-Shilov type spaces defined via a weight (multi-)sequence system, a weight function system, and a translation-invariant Banach function space. We characterize when such spaces are included into one another
Externí odkaz:
http://arxiv.org/abs/2407.06126
Autor:
Harrington, Joshua, Jones, Lenny
Let $f(x)=x^4+ax^3+d\in {\mathbb Z}[x]$, where $ad\ne 0$. Let $C_n$ denote the cyclic group of order $n$, $D_4$ the dihedral group of order 8, and $A_4$ the alternating group of order 12. Assuming that $f(x)$ is monogenic, we give necessary and suffi
Externí odkaz:
http://arxiv.org/abs/2407.00413
Publikováno v:
Phys. Rev. A 110, 032435 (2024)
Despite their importance, there is an on-going challenge characterizing multipartite quantum correlations. The Svetlichny and Mermin-Klyshko (MK) inequalities present constraints on correlations in multipartite systems, a violation of which allows to
Externí odkaz:
http://arxiv.org/abs/2406.16202
Autor:
Johnson, Michael D., Akiyama, Kazunori, Baturin, Rebecca, Bilyeu, Bryan, Blackburn, Lindy, Boroson, Don, Cardenas-Avendano, Alejandro, Chael, Andrew, Chan, Chi-kwan, Chang, Dominic, Cheimets, Peter, Chou, Cathy, Doeleman, Sheperd S., Farah, Joseph, Galison, Peter, Gamble, Ronald, Gammie, Charles F., Gelles, Zachary, Gomez, Jose L., Gralla, Samuel E., Grimes, Paul, Gurvits, Leonid I., Hadar, Shahar, Haworth, Kari, Hada, Kazuhiro, Hecht, Michael H., Honma, Mareki, Houston, Janice, Hudson, Ben, Issaoun, Sara, Jia, He, Jorstad, Svetlana, Kauffmann, Jens, Kovalev, Yuri Y., Kurczynski, Peter, Lafon, Robert, Lupsasca, Alexandru, Lehmensiek, Robert, Ma, Chung-Pei, Marrone, Daniel P., Marscher, Alan P., Melnick, Gary J., Narayan, Ramesh, Niinuma, Kotaro, Noble, Scott C., Palmer, Eric J., Palumbo, Daniel C. M., Paritsky, Lenny, Peretz, Eliad, Pesce, Dominic, Plavin, Alexander, Quataert, Eliot, Rana, Hannah, Ricarte, Angelo, Roelofs, Freek, Shtyrkova, Katia, Sinclair, Laura C., Small, Jeffrey, Kumara, Sridharan Tirupati, Srinivasan, Ranjani, Strominger, Andrew, Tiede, Paul, Tong, Edward, Wang, Jade, Weintroub, Jonathan, Wielgus, Maciek, Wong, George, Zhang, Xinyue Alice
Publikováno v:
Proceedings Volume 13092, Space Telescopes and Instrumentation 2024: Optical, Infrared, and Millimeter Wave; 130922D (2024)
We present the Black Hole Explorer (BHEX), a mission that will produce the sharpest images in the history of astronomy by extending submillimeter Very-Long-Baseline Interferometry (VLBI) to space. BHEX will discover and measure the bright and narrow
Externí odkaz:
http://arxiv.org/abs/2406.12917