Yaghoub Rahimi

activity

20182026

L_{1} / L_{2}

Minimization

77 citations · 85 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CA2021

Improving and Maximal Inequalities for Primes in Progressions

Christina Giannitsi, Michael T. Lacey, Hamed Mousavi +1

Assume that $y < N$ are integers, and that $(b, y) = 1$ . Define an average along the primes in a progression of diameter $y$ , given by integer $(b, y) = 1$ . \begin{align*} A_{N,y,b…

math.NT2021

Endpoint $ℓ^{r}$ improving estimates for Prime averages

Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi

Let $Λ$ denote von Mangoldt's function, and consider the averages \begin{align*} A_N f (x) &=\frac{1}{N}\sum_{1\leq n \leq N}f(x-n)Λ(n) . \end{align*} We prove sharp $ℓ^{p}$ -…

Improving and Maximal Inequalities for Primes in Progressions

Endpoint ℓr improving estimates for Prime averages

Endpoint $ℓ^{r}$ improving estimates for Prime averages