Zobrazeno 1 - 10
of 26 106
pro vyhledávání: '"Johnston, A R"'
Autor:
Johnston, Daniel R.
We demonstrate the impact of a generic zero-free region and zero-density estimate on the error term in the prime number theorem. Consequently, we are able to improve upon previous work of Pintz and provide an essentially optimal error term for some c
Externí odkaz:
http://arxiv.org/abs/2411.13791
In this article, we study the summatory function \begin{equation*} W(x)=\sum_{n\leq x}(-2)^{\Omega(n)}, \end{equation*} where $\Omega(n)$ counts the number of prime factors of $n$, with multiplicity. We prove $W(x)=O(x)$, and in particular, that $|W(
Externí odkaz:
http://arxiv.org/abs/2408.04143
Autor:
Simpson, Andrew R C1
Publikováno v:
Edinburgh Law Review. Sep2020, Vol. 24 Issue 3, p411-416. 6p.
We give an explicit $O(x/T)$ error term for the truncated Riemann--von Mangoldt explicit formula. For large $x$, this provides a modest improvement over previous work, which we demonstrate via an application to a result on primes between consecutive
Externí odkaz:
http://arxiv.org/abs/2402.04272
Autor:
MacLaren, I.
Publikováno v:
BMJ: British Medical Journal, 1997 Sep 01. 315(7108), 610-610.
Externí odkaz:
https://www.jstor.org/stable/25175631
Autor:
Sharma, Mrinank, Tong, Meg, Korbak, Tomasz, Duvenaud, David, Askell, Amanda, Bowman, Samuel R., Cheng, Newton, Durmus, Esin, Hatfield-Dodds, Zac, Johnston, Scott R., Kravec, Shauna, Maxwell, Timothy, McCandlish, Sam, Ndousse, Kamal, Rausch, Oliver, Schiefer, Nicholas, Yan, Da, Zhang, Miranda, Perez, Ethan
Human feedback is commonly utilized to finetune AI assistants. But human feedback may also encourage model responses that match user beliefs over truthful ones, a behaviour known as sycophancy. We investigate the prevalence of sycophancy in models wh
Externí odkaz:
http://arxiv.org/abs/2310.13548
Autor:
Andrew Robert Craig Simpson
Publikováno v:
Simpson, A R C 2020, ' The better view? Johnston v R &J Leather (Scotland) Ltd ', Edinburgh Law Review, vol. 24, no. 3, pp. 411-416 . https://doi.org/10.3366/elr.2020.0655
When discussing disputed points relating to the law governing corporeal moveables in Scotland, the late David Carey Miller frequently weighed up opposing arguments and interpretations based on the authorities and a range of policy considerations, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fbf1ed53653fb09512d3eccef175f82
https://doi.org/10.3366/elr.2020.0655
https://doi.org/10.3366/elr.2020.0655
Autor:
DeLuca, Lisa
Publikováno v:
The Library Quarterly: Information, Community, Policy, 2016 Apr 01. 86(2), 234-235.
Externí odkaz:
https://www.jstor.org/stable/26561665
We consider Dirichlet $L$-functions $L(s, \chi)$ where $\chi$ is a non-principal quadratic character to the modulus $q$. We make explicit a result due to Pintz and Stephens by showing that $|L(1, \chi)|\leq \frac{1}{2}\log q$ for all $q\geq 2\cdot 10
Externí odkaz:
http://arxiv.org/abs/2303.13785
Autor:
Johnston, P. R.1, Park, D.1 johnstonp@landcareresearch.co.nz
Publikováno v:
Fungal Systematics & Evolution. Dec2024, Vol. 14, p153-170. 18p.