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Mohammed Amin Amri

Publications and source records attributed to Mohammed Amin Amri.

6 recordsLinked to original sources
arXiv2022

On the Lang-Trotter conjecture for a class of non-generic abelian surfaces

In the present article, we formulate a conjectural uniform error term in the Chebotarev-Sato-Tate distribution for abelian surfaces $\mathbb{Q}$-isogenous to a product of not $\overline{\mathbb{Q}}$-isogenous non-CM-elliptic curves, established by the author in \cite[Theorem 1.1]{Amri22}. As a consequence, we provide a direct proof to the generalized Lang-Trotter conjecture recently formulated and studied in \cite{Chen}.

math.NT↗
arXiv2018

A note on the extended Bruinier-Kohnen conjecture

Let $f$ be a cuspform of integral half-weight $k+1/2$, whose Fourier coefficients $a(n)$ not necessarily real. We verify partially an extension of a conjecture of Bruinier and Kohnen on the equi-distribution of the signs of $a(n)$ (when are real), conjectured by the first author in \cite{Amri2} for the sequence $\{a(tp^{2ν})\}_{p,\text{prime}}$, where $ν$ an odd positive integer and $t$ a square-free integer.

math.NT↗
arXiv2018

Angular changes of complex Fourier coefficients of cusp forms

In this paper, we investigate the "angular changes" behavior of some subfamilies of Fourier coefficients of both integral and half-integral weight holomorphic cusp forms, thus one gets information about signs of the real an imaginary parts of these subfamilies. These give an extension of some recent results of Kohnen and his collaborators.

math.NT↗