Joni Teräväinen

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20242026

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math.NT2026

Random linear configurations in dense sets and primes

Lasse Grimmelt, Joni Teräväinen

We prove that every polylogarithmically dense subset of $[N]$ contains a nontrivial configuration $x + b_{1} m, \dots, x + b_{k} m$ for almost all choices of the coefficient vector $(b_1,\ldo…

math.NT2025

The Exceptional Set in Goldbach's Problem with two Chen Primes

Lasse Grimmelt, Joni Teräväinen

We show that all natural numbers $n \equiv 4 (mod 6)$ are the sum of two Chen primes (primes $p$ such that $p + 2$ has at most two prime factors), apart from a power-saving set of exce…

math.NT2024

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 $n + P_{1} (m), \dots, n + P_{k} (m)$ for a large class of polynomials $P_…