Zobrazeno 1 - 10
of 1 821
pro vyhledávání: '"Helfgott, A."'
Publikováno v:
Vietnam J. Math., 52(2):479--518, 2024
For every connected, almost simple linear algebraic group $G\leq\mathrm{GL}_{n}$ over a large enough field $K$, every subvariety $V\subseteq G$, and every finite generating set $A\subseteq G(K)$, we prove a general dimensional bound, that is, a bound
Externí odkaz:
http://arxiv.org/abs/2308.09197
Publikováno v:
Agrochemicals, Vol 3, Iss 3, Pp 181-208 (2024)
The food security of Lima—Peru’s capital city, which shelters over 30% of the total country’s population—depends on the food production of its nearest agricultural areas, the Chancay-Huaral and Chillón valleys, wherein agrochemicals are wide
Externí odkaz:
https://doaj.org/article/43e1ac3372524b0185678392828a68d5
Autor:
Colin Edgerton, Andrew Frick, Simon Helfgott, Kent Kwas Huston, Jasvinder A. Singh, Patrick Zueger, Samuel I. Anyanwu, Pankaj Patel, Nehad Soloman
Publikováno v:
ACR Open Rheumatology, Vol 6, Iss 4, Pp 179-188 (2024)
Objective Treatment guidelines for rheumatoid arthritis (RA) recommend targeting low disease activity or remission and switching therapies for patients not reaching those targets. We evaluated real‐world use of disease activity measures, treatment
Externí odkaz:
https://doaj.org/article/84b8871cb2d0423fbd02c053eb1b42b8
These are lecture notes for the AGRA II school, which took place in August 2015 at Universidad de San Antonio Abad del Cusco (Per\'u). They are geared towards graduate students and young researchers. I. Modular forms and Shimura curves (R. J. Miatell
Externí odkaz:
http://arxiv.org/abs/2204.09363
Autor:
Helfgott, Harald Andrés
After seeing how questions on the finer distribution of prime factorization -- considered inaccessible until recently -- reduce to bounding the norm of an operator defined on a graph describing factorization, we will show how to bound that norm. In e
Externí odkaz:
http://arxiv.org/abs/2201.00799
Babai's conjecture states that, for any finite simple non-abelian group $G$, the diameter of $G$ is bounded by $(\log|G|)^{C}$ for some absolute constant $C$. We prove that, for any untwisted classical group $G$ of rank $r$ defined over a field $\mat
Externí odkaz:
http://arxiv.org/abs/2110.02942
Let $\mathbf{P} \subset [H_0,H]$ be a set of primes, where $\log H_0 \geq (\log H)^{2/3 + \epsilon}$. Let $\mathscr{L} = \sum_{p \in \mathbf{P}} 1/p$. Let $N$ be such that $\log H \leq (\log N)^{1/2-\epsilon}$. We show there exists a subset $\mathscr
Externí odkaz:
http://arxiv.org/abs/2103.06853
Autor:
Helfgott, Harald A., Thompson, Lola
We present a new elementary algorithm that takes \[ \mathrm{time} \ \ O_\epsilon\left(x^{\frac{3}{5}} (\log x)^{\frac{3}{5}+\epsilon} \right) \ \ \mathrm{and}\ \ \mathrm{space} \ \ O\left(x^{\frac{3}{10}} (\log x)^{\frac{13}{10}} \right)\] for comput
Externí odkaz:
http://arxiv.org/abs/2101.08773
We study the two-parameter quadratic sieve for a general test function. We prove, under some very general assumptions, that the function considered by Barban and Vehov [BV68] and Graham [Gra78] for this problem is optimal up to and including the seco
Externí odkaz:
http://arxiv.org/abs/2005.03162
Publikováno v:
J. Th\'eor. Nombres Bordeaux, 34(1):91--133, 2022
Explicit bounds on the tails of the zeta function $\zeta$ are needed for applications, notably for integrals involving $\zeta$ on vertical lines or other paths going to infinity. Here we bound weighted $L^2$ norms of tails of $\zeta$. Two approaches
Externí odkaz:
http://arxiv.org/abs/1906.01097