18 citations · 30 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
The sixth moment of Dirichlet L-functions at the central point
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
In 1970, Huxley obtained a sharp upper bound for the sixth moment of Dirichlet -functions at the central point, averaged over primitive characters modulo and all moduli…
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…