Author

Joni Teräväinen

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Preprint Aug 2026

Quantitative bounds for sets lacking polynomial progressions with shifted prime difference

We prove quantitative polynomial Szemer\'edi-type theorems involving polynomial progressions with shift parameter restricted to the set of shifted primes $\mathbb{P}-1$. The types of configurations covered are distinct degree progressions and progressions involving integer multiples of a fixed polynomial. For nonlinear...

Ben Krause, Hamed Mousavi, Terence Tao et al. · 2 citations · ⚡2

Open access Sep 2026

On Elliott's conjecture and applications

Let be a multiplicative function. Under the merely necessary assumption that is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts , the two‐point correlation tends to 0 along a set of of full upper logarithmic density. We also show that the same re...

O. Klurman, Alexander P. Mangerel, Joni Teräväinen · Proceedings of the London Ma... · 0 citations