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20152026
most citedThe structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures

38 citations · 177 across the 23 of their papers we have counts for

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Showing 2026 · math.NTShow all

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math.NT2026

Quantitative Gowers uniformity of the primes in intervals of length

Joni Teräväinen

We prove the first quantitative bounds for the Gowers norms of the von Mangoldt function minus a Siegel corrected model function in short intervals. The result applies to intervals…

math.NT2026

Sum-product patterns in the shifted primes

Florian K. Richter, Joni Teräväinen

We show that the set of shifted primes contains infinitely many sum-product patterns of the form with arbitrarily large distinct integers. More…

math.NT2026

On the generation of multiplicative groups by small primes

Oleksiy Klurman, Igor E. Shparlinski, Joni Teräväinen

Motivated by a question of Regev arising from his improved quantum factoring algorithm, we study how many small primes are needed to generate the group $({\mathbb Z}/q{\mathbb Z})^…