Zobrazeno 1 - 10
of 1 316
pro vyhledávání: '"Radziwill, A."'
We study higher uniformity properties of the von Mangoldt function $\Lambda$, the M\"obius function $\mu$, and the divisor functions $d_k$ on short intervals $(x,x+H]$ for almost all $x \in [X, 2X]$. Let $\Lambda^\sharp$ and $d_k^\sharp$ be suitable
Externí odkaz:
http://arxiv.org/abs/2411.05770
We show that if $\Gamma$ is a co-compact arithmetic lattice in $SL(2,\mathbb{R})$ or $\Gamma=SL(2,\mathbb{Z})$ then the horocycle orbit of every non-periodic point $x\in SL(2,\mathbb{R})/\Gamma$ equidistributes (with respect to Haar measure) when sam
Externí odkaz:
http://arxiv.org/abs/2409.16687
In 1970, Huxley obtained a sharp upper bound for the sixth moment of Dirichlet $L$-functions at the central point, averaged over primitive characters $\chi$ modulo $q$ and all moduli $q \leq Q$. In 2007, as an application of their ``asymptotic large
Externí odkaz:
http://arxiv.org/abs/2409.01457
Autor:
Radziwill, Nicole, Benton, Morgan C.
People who feel that they do not belong (or their voice is not heard at work) commonly become disengaged, unproductive, and pessimistic. Inclusive work environments aspire to close these gaps to increase employee satisfaction while reducing absenteei
Externí odkaz:
http://arxiv.org/abs/2407.09987
Autor:
Radziwiłł, Maksym, Technau, Niclas
The distribution of the properly renormalized gaps of $\sqrt{n} \,\mathrm{mod}\, 1$ with $n < N$ converges (when $N\rightarrow \infty$) to a non-standard limit distribution, as Elkies and McMullen proved in 2004 using techniques from homogeneous dyna
Externí odkaz:
http://arxiv.org/abs/2403.16493
We establish a general principle that any lower bound on the non-vanishing of central $L$-values obtained through studying the one-level density of low-lying zeros can be refined to show that most such $L$-values have the typical size conjectured by
Externí odkaz:
http://arxiv.org/abs/2308.00169
We prove an asymptotic formula for the eighth moment of Dirichlet $L$-functions averaged over primitive characters $\chi$ modulo $q$, over all moduli $q\leq Q$ and with a short average on the critical line. Previously the same result was shown condit
Externí odkaz:
http://arxiv.org/abs/2307.13194
Autor:
Pandey, Mayank, Radziwiłł, Maksym
We show that the $L^1$ norm of an exponential sum of length $X$ and with coefficients equal to the Liouville or M\"{o}bius function is at least $\gg_{\varepsilon} X^{1/4 - \varepsilon}$ for any given $\varepsilon$. For the Liouville function this imp
Externí odkaz:
http://arxiv.org/abs/2307.10329
We prove a lower bound on the maximum of the Riemann zeta function in a typical short interval on the critical line. Together with the upper bound from the previous work of the authors, this implies tightness of $$ \max_{|h|\leq 1}|\zeta(\tfrac 12+{\
Externí odkaz:
http://arxiv.org/abs/2307.00982
Gender inequality in the Nordic film industry: Exploring above-the-line positions in film production
Publikováno v:
Nordic Journal of Media Studies, Vol 6, Iss 1, Pp 110-135 (2024)
In this article, we explore the enduring barriers to gender equality in the Nordic film industry, with a focus on positions of power and structural biases. Despite considerable efforts over the past decades to highlight gender inequality – resultin
Externí odkaz:
https://doaj.org/article/ea7806e1f92c4843933ce7384449b67b
