From the 1 of 6 linked papers with an AI index.
6 papers
Quantitative bounds for sets lacking polynomial progressions with shifted prime difference
Ben Krause, Hamed Mousavi, Terence Tao +1
We prove quantitative polynomial Szemerédi-type theorems involving polynomial progressions with shift parameter restricted to the set of shifted primes . The types of…
Random linear configurations in dense sets and primes
Lasse Grimmelt, Joni Teräväinen
The paper shows that any subset of the integers up to N that is dense at a polylogarithmic level contains nontrivial linear configurations of the form x+b₁m,…,x+b_km for most coeff…
On Artin's conjecture on average and short character sums
Oleksiy Klurman, Igor E. Shparlinski, Joni Teräväinen
Let denote the number of primes up to for which the integer is a primitive root. We show that satisfies the asymptotic predicted by Artin's conjecture for…
Pointwise convergence of bilinear polynomial averages over the primes
Ben Krause, Hamed Mousavi, Terence Tao +1
We show that on a -finite measure preserving system , the non-conventional ergodic averages converge poi…
The Exceptional Set in Goldbach's Problem with two Chen Primes
Lasse Grimmelt, Joni Teräväinen
We show that all natural numbers are the sum of two Chen primes (primes such that has at most two prime factors), apart from a power-saving set of exce…
Quantitative asymptotics for polynomial patterns in the primes
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang
We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions for a large class of polynomials $P…