4 citations · 9 across the 12 of their papers we have counts for
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Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao +2
We study higher uniformity properties of the von Mangoldt function , the Möbius function , and the divisor functions on short intervals for almost all $x \in…
Bounds on the exceptional set in the conjecture
Christian Bernert, Tim Browning, Jared Duker Lichtman +1
We study solutions to the equation , where form a triple of coprime natural numbers. The conjecture asserts that, for any , such triples satisfy $\mathrm{…
A note on zero density results implying large value estimates for Dirichlet polynomials
Kaisa Matomäki, Joni Teräväinen
In this note we investigate connections between zero density estimates for the Riemann zeta function and large value estimates for Dirichlet polynomials. It is well known that esti…
Primes in arithmetic progressions and short intervals without -functions
Kaisa Matomäki, Jori Merikoski, Joni Teräväinen
We develop a sieve that can detect primes in multiplicatively structured sets under certain conditions. We apply it to obtain a new -function free proof of Linnik's problem of b…
Pointwise convergence of ergodic averages with Möbius weight
Joni Teräväinen
Let be a measure-preserving system, and let be polynomials with integer coefficients. We prove that, for any , the Möb…