Zobrazeno 1 - 10
of 13 622
pro vyhledávání: '"LICHTMAN A."'
We study solutions to the equation $a+b=c$, where $a,b,c$ form a triple of coprime natural numbers. The $abc$ conjecture asserts that, for any $\epsilon>0$, such triples satisfy $\mathrm{rad}(abc) \ge c^{1-\epsilon}$ with finitely many exceptions. In
Externí odkaz:
http://arxiv.org/abs/2410.12234
We obtain density theorems for cuspidal automorphic representations of $\text{GL}_n$ over $\mathbb{Q}$ which fail the generalized Ramanujan conjecture at some place. We depart from previous approaches based on Kuznetsov-type trace formulae, and inste
Externí odkaz:
http://arxiv.org/abs/2408.13682
Autor:
Radnaev, A. G., Chung, W. C., Cole, D. C., Mason, D., Ballance, T. G., Bedalov, M. J., Belknap, D. A., Berman, M. R., Blakely, M., Bloomfield, I. L., Buttler, P. D., Campbell, C., Chopinaud, A., Copenhaver, E., Dawes, M. K., Eubanks, S. Y., Friss, A. J., Garcia, D. M., Gilbert, J., Gillette, M., Goiporia, P., Gokhale, P., Goldwin, J., Goodwin, D., Graham, T. M., Guttormsson, CJ, Hickman, G. T., Hurtley, L., Iliev, M., Jones, E. B., Jones, R. A., Kuper, K. W., Lewis, T. B., Lichtman, M. T., Majdeteimouri, F., Mason, J. J., McMaster, J. K., Miles, J. A., Mitchell, P. T., Murphree, J. D., Neff-Mallon, N. A., Oh, T., Omole, V., Simon, C. Parlo, Pederson, N., Perlin, M. A., Reiter, A., Rines, R., Romlow, P., Scott, A. M., Stiefvater, D., Tanner, J. R., Tucker, A. K., Vinogradov, I. V., Warter, M. L., Yeo, M., Saffman, M., Noel, T. W.
Quantum computers must achieve large-scale, fault-tolerant operation to deliver on their promise of transformational processing power [1-4]. This will require thousands or millions of high-fidelity quantum gates and similar numbers of qubits [5]. Dem
Externí odkaz:
http://arxiv.org/abs/2408.08288
Autor:
GOLDSBOROUGH K., MUCHHALA K., ADU-GYAMFI A., HERZ S., JESSUP D., MCKIVER B., GUPTA K., DAMAJ M., LLOYD J., AKBARALI H., SMITH W., LICHTMAN A.
Publikováno v:
HemaSphere, Vol 6, Pp 08-08 (2022)
Externí odkaz:
https://doaj.org/article/321de717bfaa4978be497c641ce9c926
Autor:
Gu, Shixuan, Adhinarta, Jason Ken, Bessmeltsev, Mikhail, Yang, Jiancheng, Zhang, Jessica, Berger, Daniel, Lichtman, Jeff W., Pfister, Hanspeter, Wei, Donglai
Part segmentation is a crucial task for 3D curvilinear structures like neuron dendrites and blood vessels, enabling the analysis of dendritic spines and aneurysms with scientific and clinical significance. However, their diversely winded morphology p
Externí odkaz:
http://arxiv.org/abs/2404.14435
Autor:
Wan, Jia, Li, Wanhua, Adhinarta, Jason Ken, Banerjee, Atmadeep, Sjostedt, Evelina, Wu, Jingpeng, Lichtman, Jeff, Pfister, Hanspeter, Wei, Donglai
While imaging techniques at macro and mesoscales have garnered substantial attention and resources, microscale Volume Electron Microscopy (vEM) imaging, capable of revealing intricate vascular details, has lacked the necessary benchmarking infrastruc
Externí odkaz:
http://arxiv.org/abs/2401.13961
In this expository note, we give a concise and accessible introduction to the real-analytic determinant method for counting integral points on algebraic curves, based on the classic 1989 paper of Bombieri-Pila.
Comment: 17 pages. arXiv admin not
Comment: 17 pages. arXiv admin not
Externí odkaz:
http://arxiv.org/abs/2312.12890
Autor:
Lichtman, Jared Duker
We show the primes have level of distribution $66/107\approx 0.617$ using triply well-factorable weights. This gives the highest level of distribution for primes in any setting, improving on the prior record level $3/5=0.60$ of Maynard. We also exten
Externí odkaz:
http://arxiv.org/abs/2309.08522
Autor:
Xiaomeng Han, Xiaotang Lu, Peter H. Li, Shuohong Wang, Richard Schalek, Yaron Meirovitch, Zudi Lin, Jason Adhinarta, Karl D. Murray, Leah M. MacNiven, Daniel R. Berger, Yuelong Wu, Tao Fang, Elif Sevde Meral, Shadnan Asraf, Hidde Ploegh, Hanspeter Pfister, Donglai Wei, Viren Jain, James S. Trimmer, Jeff W. Lichtman
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-18 (2024)
Abstract Mapping neuronal networks is a central focus in neuroscience. While volume electron microscopy (vEM) can reveal the fine structure of neuronal networks (connectomics), it does not provide molecular information to identify cell types or funct
Externí odkaz:
https://doaj.org/article/af6d34c529a5478a859e10bc1f1a99bb
In 1935, Erd\H{o}s proved that the sums $f_k=\sum_n 1/(n\log n)$, over integers $n$ with exactly $k$ prime factors, are bounded by an absolute constant, and in 1993 Zhang proved that $f_k$ is maximized by the prime sum $f_1=\sum_p 1/(p\log p)$. Accor
Externí odkaz:
http://arxiv.org/abs/2303.08277