3 papers
math.NT2024
Weighted sieves with switching
Kaisa Matomäki, Sebastian Zuniga Alterman
Weighted sieves are used to detect numbers with at most prime factors with as small as possible. When one studies problems with two variables in somewhat sym…
math.NT2023
The eighth moment of Dirichlet L-functions II
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
We prove an asymptotic formula for the eighth moment of Dirichlet -functions averaged over primitive characters modulo , over all moduli and with a short averag…
math.NT2023
A note on exceptional characters and non-vanishing of Dirichlet -functions
Martin Čech, Kaisa Matomäki
We study non-vanishing of Dirichlet -functions at the central point under the unlikely assumption that there exists an exceptional Dirichlet character. In particular we prove th…