Zobrazeno 1 - 10
of 18 072
pro vyhledávání: '"Kala, A."'
We show that, in the space of all totally real fields equipped with the constructible topology, the set of fields that admit a universal quadratic form, or have the Northcott property, is meager. The main tool is a new theorem on the number of square
Externí odkaz:
http://arxiv.org/abs/2409.11082
Autor:
Fang, Jie, Chen, Rui, Sharp, David, Renzi, Enrico M., Manna, Arnab, Kala, Abhinav, Mann, Sander A., Yao, Kan, Munley, Christopher, Rarick, Hannah, Tang, Andrew, Pumulo, Sinabu, Zheng, Yuebing, Menon, Vinod M., Alu, Andrea, Majumdar, Arka
High-quality (Q)-factor optical resonators with extreme temporal coherence are of both technological and fundamental importance in optical metrology, continuous-wave lasing, and semiconductor quantum optics. Despite extensive efforts in designing hig
Externí odkaz:
http://arxiv.org/abs/2409.02874
We present a novel hybrid incompressible flow/material point method solver for simulating the combustion of flammable solids. Our approach utilizes a sparse grid representation of solid materials in the material point method portion of the solver and
Externí odkaz:
http://arxiv.org/abs/2408.07276
We investigate the gravitational lensing by Bardeen black hole in cloud of strings (CoS) in strong field limit. The effect of CoS parameter $b$ has been outlined in comparison with Bardeen black hole lens. The impact parameter increases as we increas
Externí odkaz:
http://arxiv.org/abs/2408.05018
Given a totally real number field $F$, we show that there are only finitely many totally real extensions of $K$ of a fixed degree that admit a universal quadratic form defined over $F$. We further obtain several explicit classification results in the
Externí odkaz:
http://arxiv.org/abs/2407.20781
Autor:
Yenamandra, Sriram, Ramachandran, Arun, Khanna, Mukul, Yadav, Karmesh, Vakil, Jay, Melnik, Andrew, Büttner, Michael, Harz, Leon, Brown, Lyon, Nandi, Gora Chand, PS, Arjun, Yadav, Gaurav Kumar, Kala, Rahul, Haschke, Robert, Luo, Yang, Zhu, Jinxin, Han, Yansen, Lu, Bingyi, Gu, Xuan, Liu, Qinyuan, Zhao, Yaping, Ye, Qiting, Dou, Chenxiao, Chua, Yansong, Kuzma, Volodymyr, Humennyy, Vladyslav, Partsey, Ruslan, Francis, Jonathan, Chaplot, Devendra Singh, Chhablani, Gunjan, Clegg, Alexander, Gervet, Theophile, Jain, Vidhi, Ramrakhya, Ram, Szot, Andrew, Wang, Austin, Yang, Tsung-Yen, Edsinger, Aaron, Kemp, Charlie, Shah, Binit, Kira, Zsolt, Batra, Dhruv, Mottaghi, Roozbeh, Bisk, Yonatan, Paxton, Chris
In order to develop robots that can effectively serve as versatile and capable home assistants, it is crucial for them to reliably perceive and interact with a wide variety of objects across diverse environments. To this end, we proposed Open Vocabul
Externí odkaz:
http://arxiv.org/abs/2407.06939
Autor:
Kala, Vitezslav, Prakash, Om
We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290-Theorem of Bhargava-Hanke.
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Externí odkaz:
http://arxiv.org/abs/2405.10660
We discuss the phenomenon where an element in a number field is not integrally represented by a given positive definite quadratic form, but becomes integrally represented by this form over a totally real extension of odd degree. We prove that this ph
Externí odkaz:
http://arxiv.org/abs/2404.12844
Autor:
Dixit, Anup B., Kala, Sushant
For an algebraic number $\alpha$, let $h(\alpha)$ denote its logarithmic Weil height. In 2002, Bombieri and Zannier obtained lower bounds for Weil height for totally $p$-adic extensions of $\mathbb{Q}$, i.e., infinite Galois extension over $\mathbb{Q
Externí odkaz:
http://arxiv.org/abs/2404.11559
Measurement-induced quantum computation with continuous-variable cluster states utilizes teleportation propagating the states through the cluster accompanied by non-Gaussian measurements and feedforward control. We analyze such propagation of a quant
Externí odkaz:
http://arxiv.org/abs/2404.06438