BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kannan Soundararajan (Stanford University) DTSTART:20201105T220000Z DTEND:20201105T230000Z DTSTAMP:20260423T005836Z UID:JNTS/6 DESCRIPTION:Title: Equ idistribution from the Chinese Remainder Theorem\nby Kannan Soundarara jan (Stanford University) as part of Columbia CUNY NYU number theory semin ar\n\n\nAbstract\nSuppose for each prime $p$ we are given a set $A_p$ (pos sibly\nempty) of residue classes mod $p$. Use these and the Chinese Remain der\nTheorem to form a set $A_q$ of residue classes mod $q$\, for any inte ger $q$.\nUnder very mild hypotheses\, we show that for a typical integer $q$\, the\nresidue classes in $A_q$ will become equidistributed. The proto typical\nexample (which this generalizes) is Hooley's theorem that the roo ts of\na polynomial congruence mod $n$ are equidistributed on average over $n$. I\nwill also discuss generalizations of such results to higher\ndime nsions\, and when restricted to integers with a given number of\nprime fac tors. (Joint work with Emmanuel Kowalski.)\n LOCATION:https://researchseminars.org/talk/JNTS/6/ END:VEVENT END:VCALENDAR