Hamed Mousavi

activity

20232026

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Showing 2024Show all

3 papers · 1 filter

math.NT2024

A Density Theorem for Higher Order Sums of Prime Numbers

Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi +1

Let $P$ be a subset of the primes of lower density strictly larger than $\frac{1}{2}$ . Then, every sufficiently large even integer is a sum of four primes from the set $P$ . We establis…

math.DS2024

Pointwise convergence of bilinear polynomial averages over the primes

Ben Krause, Hamed Mousavi, Terence Tao +1

We show that on a $σ$ -finite measure preserving system $X = (X, ν, T)$ , the non-conventional ergodic averages $E_{n \in [N]} Λ (n) f (T^{n} x) g (T^{P (n)} x)$ converge pointw…

math.CA2024

Averages with the Gaussian divisor: Weighted Inequalities and the Pointwise Ergodic Theorem

Christina Giannitsi, Nazar Miheisi, Hamed Mousavi

We discuss the Pointwise Ergodic Theorem for the Gaussian divisor function $d (n)$ , that is, for a measure preserving $Z [i]$ action $T$ , the limit $$\lim_{N\rightarrow \inft…