Zobrazeno 1 - 10
of 348
pro vyhledávání: '"A. Lamzouri"'
Autor:
Lamzouri, Youness, Nath, Kunjakanan
For a primitive Dirichlet character $\chi\pmod q$ we let \[M(\chi):= \frac{1}{\sqrt{q}}\max_{1\leq t \leq q} \Big|\sum_{n \leq t} \chi(n) \Big|.\] In this paper, we investigate the distribution of $M(\chi)$, as $\chi$ ranges over primitive cubic char
Externí odkaz:
http://arxiv.org/abs/2410.22305
Autor:
Lamzouri, Youness
We study the distribution functions of several classical error terms in analytic number theory, focusing on the remainder term in the Dirichlet divisor problem $\Delta(x)$. We first bound the discrepancy between the distribution function of $\Delta(x
Externí odkaz:
http://arxiv.org/abs/2410.03652
We discuss a general approach producing quantitative bounds on the number of sign changes of the weighted sums $$\sum_{n\le x}f(n)w_n$$ where $f:\mathbb{N}\to \mathbb{R}$ is a family of multiplicative functions and $w_n\in\mathbb{R}$ are certain weig
Externí odkaz:
http://arxiv.org/abs/2403.02195
Autor:
Lamzouri, Youness
Using the same heuristic argument leading to the Lang-Waldschmidt Conjecture in the theory of linear forms in logarithms, we formulate an effective version of the Linear Independence conjecture for the ordinates of the non-trivial zeros of the Rieman
Externí odkaz:
http://arxiv.org/abs/2311.04860
We show that the distribution of the values of Fekete polynomials $F_p$ on the unit circle is governed, as $p\to\infty$, by an explicit limiting (non-Gaussian) random point process.This allows us to prove that the Mahler measure of $F_p$ satisfies $$
Externí odkaz:
http://arxiv.org/abs/2306.07156
Autor:
Hussain, Ayesha, Lamzouri, Youness
Let $p$ be a prime number and $\left(\frac{\cdot}{p}\right)$ be the Legendre symbol modulo $p$. The \emph{Legendre path} attached to $p$ is the polygonal path whose vertices are the normalized character sums $\frac{1}{\sqrt{p}} \sum_{n\leq j} \left(\
Externí odkaz:
http://arxiv.org/abs/2304.13025
Autor:
Lamzouri, Youness
Publikováno v:
Alg. Number Th. 18 (2024) 2091-2131
In this paper, we investigate the distribution of the maximum of character sums over the family of primitive quadratic characters attached to fundamental discriminants $|d|\leq x$. In particular, our work improves results of Montgomery and Vaughan, a
Externí odkaz:
http://arxiv.org/abs/2212.03227
Publikováno v:
In Ocean Engineering 15 October 2024 310 Part 2
Autor:
Lamzouri A, EL Rherbi A, Ratbi I, Laarabi FZ, Chahboune R, Elalaoui SC, Hamdaoui H, Bencheikh RS, Sefiani A
Publikováno v:
Balkan Journal of Medical Genetics, Vol 26, Iss 2, Pp 69-72 (2024)
Treacher Collins syndrome (TCS) is a rare congenital disorder of craniofacial development characterized by numerous developmental anomalies that are restricted to the head and neck. Most TCS cases are inherited in an autosomal dominant manner. The di
Externí odkaz:
https://doaj.org/article/eea790235a3d499089596940d6521207
Autor:
Granville, Andrew, Lamzouri, Youness
In this paper, we investigate the large deviations of sums of weighted random variables that are approximately independent, generalizing and improving some of the results of Montgomery and Odlyzko. We are motivated by examples arising from number the
Externí odkaz:
http://arxiv.org/abs/2104.02048