E. H. el Abdalaoui

activity

20102026

most citedOn spectral disjointness of powers for rank-one transformations and Möbius orthogonality

60 citations · 97 across the 30 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CO2016★ 2 cited

On the Erdös flat polynomials problem, Chowla conjecture and Riemann Hypothesis

el Houcein el Abdalaoui

There are no square $L^{2}$ -flat sequences of polynomials of the type $\frac{1}{q} (ε_{0} + ε_{1} z + ε_{2} z^{2} + \dots + ε_{q - 2} z^{q - 2} + ε_{q} z^{q - 1}),$ where for each $j,~~ 0 \leq…

math.NT2016

A class of Littlewood polynomials that are not $L^{α}$ -flat

E. H. el Abdalaoui, M. G. Nadkarni

We exhibit a class of Littlewood polynomials that are not $L^{α}$ -flat for any $α \geq 0$ . Indeed, it is shown that the sequence of Littlewood polynomials is not $L^{α}$ -flat, $α \geq 0$ …

math.DS2016★ 2 cited

A cubic nonconventional ergodic average with multiplicative or Mangoldt weights

el Houcein el Abdalaoui, XiangDong Ye

We show that the cubic nonconventional ergodic averages of any order with a bounded multiplicative function weight converge almost surely to zero provided that the multiplicative f…

On the Erdös flat polynomials problem, Chowla conjecture and Riemann Hypothesis

A class of Littlewood polynomials that are not Lα-flat

A cubic nonconventional ergodic average with multiplicative or Mangoldt weights

A class of Littlewood polynomials that are not $L^{α}$ -flat