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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-107
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:HUIXI LI\, NANKAI UNIVERSITY\n\n\"ON COVERING SYSTEMS OF POLYNO
 MIAL RINGS OVER FINITE FIELDS\"\n\nIn 1950\, Erd\\H{o}s posed a question k
 nown as the minimum modulus\nproblem on covering systems for $\\mathbb{Z}$
 \, which asked whether the\nminimum modulus of a covering system with dist
 inct moduli is bounded.\nThis long-standing problem was finally resolved b
 y Hough in 2015. In\nthis presentation\, we will discuss the analogous min
 imum modulus\nproblem for $\\mathbb{F}_q[x]$. We proof that the smallest d
 egree of\nthe moduli in any covering system for $\\mathbb{F}_q[x]$ of\nmul
 tiplicity $s$ is bounded by a constant depending only on $s$ and\n$q$. Thi
 s is a joint work with Shaoyun Yi\, Biao Wang\, and Chunlin\nWang. \n\nZo
 om: https://uwaterloo.zoom.us/j/98950813087?pwd=SEl1NlNqNHl0QzlYNGJzeDVla
 204QT09
DTSTAMP:20260505T184424Z
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