Pawel Lewulis

activity

20162022

most citedThree-line derivation of the Thomas precession

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2022

Variants of the Selberg sieve, and almost prime k-tuples

Paweł Lewulis

Let $k \geq 2$ and $P (n) = (A_{1} n + B_{1}) \dots (A_{k} n + B_{k})$ where all the $A_{i}, B_{i}$ are integers. Suppose that $P (n)$ has no fixed prime divisors. For eac…

math.NT2018

Almost primes in various settings

Paweł Lewulis

Let $k \geq 3$ and let $L_{i} (n) = A_{i} n + B_{i}$ be some linear forms such that $A_{i}$ and $B_{i}$ are integers. Define $P (n) = \prod_{i = 1}^{k} L_{i} (n)$ . For each $k$ it is known…

math.NT2016

Chen primes in arithmetic progressions

Paweł Lewulis

We find a lower bound for the number of Chen primes in the arithmetic progression $a mod q$ , where $(a, q) = (a + 2, q) = 1$ . Our estimate is uniform for $q \leq lo g^{M} x$ , where $M > 0$ i…

math.NT2016

A Vinogradov-type problem in almost primes

Paweł Lewulis

We prove a generalisation of Vinogradov's theorem by finding for $m ⩾ 3$ and fixed positive integers $c_{1}, \dots, c_{m}, r_{1}, \dots, r_{m}$ the asymptotics of the number of seq…