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pro vyhledávání: '"Osman, Tariq"'
We prove an effective slope gap distribution result first for the square torus and then for general lattice translation surfaces. As a corollary, we obtain a dynamical proof for an effective gap distribution result for the Farey fractions. As an inte
Externí odkaz:
http://arxiv.org/abs/2409.15660
Autor:
Cellarosi, Francesco, Osman, Tariq
We provide an explicit family of pairs $(\alpha, \beta) \in \mathbb{R}^k \times \mathbb{R}^k$ such that for sufficiently regular $f$, there is a constant $C>0$ for which the theta sum bound $$\left|\sum_{n\in\mathbb{Z}^k}f\!\left(\tfrac{1}{N}n\right)
Externí odkaz:
http://arxiv.org/abs/2306.11119
Autor:
Cellarosi, Francesco, Osman, Tariq
We consider quadratic Weyl sums $S_N(x;\alpha,\beta)=\sum_{n=1}^N \exp\!\left[2\pi i\left( \left(\tfrac{1}{2}n^2+\beta n\right)\!x+\alpha n\right)\right]$ for $(\alpha,\beta)\in\mathbb{Q}^2$, where $x\in\mathbb{R}$ is randomly distributed according t
Externí odkaz:
http://arxiv.org/abs/2210.09838
We consider quadratic Weyl sums $S_N(x;c,\alpha)=\sum_{n=1}^N\exp\{2\pi i((\frac{1}{2}n^2+cn)x+\alpha n)\}$ for $c=\alpha=0$ (the rational case) or $(c,\alpha)\notin\mathbb{Q}^2$ (the irrational case), where $x$ is randomly distributed according to a
Externí odkaz:
http://arxiv.org/abs/2203.06274
Publikováno v:
Bollettino dell'Unione Matematica Italiana; Jun2023, Vol. 16 Issue 2, p203-258, 56p
Autor:
Manolis, Efthymios1 Efthymios.Manolis@ema.europa.eu, Osman, Tariq Eldirdiry1, Herold, Ralf1, Koenig, Franz1, Tomasi, Paolo1, Vamvakas, Spiros1, Raymond, Agnes Saint1
Publikováno v:
Pediatric Anesthesia. Mar2011, Vol. 21 Issue 3, p214-221. 8p. 2 Diagrams, 3 Charts, 1 Graph.
Autor:
Mohammad Osman Tariq
Publikováno v:
IDS Bulletin. 40:20-27
This article discusses the successful bottom‐up justice and security institutions in south‐east Afghanistan that are delivering justice and security to the people in a complex atmosphere characterised by a weak and contested state, high levels of