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SUMMARY:Kaisa Matomäki (University of Turku)
DTSTART:20210308T160000Z
DTEND:20210308T170000Z
DTSTAMP:20260423T024027Z
UID:IML_NT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IML_NT/11/">
 Moments of Dirichlet $L$-functions</a>\nby Kaisa Matomäki (University of 
 Turku) as part of IML Number Theory semester (spring 2021)\n\n\nAbstract\n
 I will discuss my on-going joint work with Vorrapan Chandee\, Xiannan\nLi\
 , and Maksym Radziwill on moments of Dirichlet $L$-functions. I will\nmost
 ly concentrate on our result giving an asymptotic formula for the\neighth 
 moment of Dirichlet L-functions averaged over primitive\ncharacters modul
 o $q$\, over all moduli $q \\leq Q$ and with a short\naverage on the crit
 ical line. Previously this result was known only\nconditionally on the Gen
 eralized Riemann Hypothesis by work of Chandee\nand Li whereas a correspon
 ding unconditional result for the sixth\nmoment was known by work of Conre
 y\, Iwaniec and Soundararajan..\n
LOCATION:https://researchseminars.org/talk/IML_NT/11/
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