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SUMMARY:Products of primes in function fields and number fields [MPIM]
DTSTART:20260818T120000Z
DTEND:20260818T130000Z
DTSTAMP:20260813T172700Z
UID:indico-event-1535@math-events.uni-bonn.de
DESCRIPTION:Speakers: Likun Xie (MPIM)\n\nPLeaSANT\nA classical question o
 f Erdős asks whether every reduced residue class modulo q can be represen
 ted by a product of two primes bounded by q. We will discuss analogues of 
 this question in function fields and number fields. Over F_q[t]\, we use K
 atz’s equidistribution methods to study representations by products of i
 rreducible polynomials. We will also briefly discuss how this fits into th
 e framework of Forey\, Fresán\, and Kowalski for connected commutative al
 gebraic groups\, which may allow an extension of the result to general glo
 bal function fields. Over number fields\, the dense model argument of Mato
 mäki and Teräväinen can be adapted to narrow ray class groups giving an
 alogous results whose strength depends on the available character-sum boun
 ds.\n\nhttps://math-events.uni-bonn.de/event/1535/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1535/
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