25 citations · 40 across the 4 of their papers we have counts for
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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…
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…
Higher uniformity of bounded multiplicative functions in short intervals on average
Kaisa Matomäki, Maksym Radziwiłł, Terence Tao +2
Let denote the Liouville function. We show that, as , $$\int_{X}^{2X} \sup_{\substack{P(Y)\in \mathbb{R}[Y]\\ deg(P)\leq k}} \Big | \sum_{x \leq n \leq x…
The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures
Terence Tao, Joni Teräväinen
We study the asymptotic behaviour of higher order correlations as a function of the parameters and , where $g_1,\…