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DTSTART;TZID=America/Toronto:20250620T130000
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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-82
SUMMARY:Student Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:GIAN CORDANA SANJAYA\, UNIVERSITY OF WATERLOO\n\n_Density of Sp
 ecial Classes of Polynomials with Squarefree\nDiscriminant_\n\nIn this tal
 k\, we discuss the problem of determining the local\ndensities of monic in
 teger polynomials of fixed degree with squarefree\ndiscriminant\, with som
 e conditions on the coefficients. Previously\,\nYamamura solved the case w
 here no extra conditions are imposed\, and\nBhargava\, Shankar\, and Wang 
 proved that the global density of general\nmonic integer polynomials (of f
 ixed degree) with squarefree\ndiscriminant is equal to the product of the 
 local densities.\n\nOur main case of interest is when the first two non-le
 ading\ncoefficients are fixed. However\, we also obtain results on other\n
 cases\, such as the case where the constant coefficient is fixed.\nMoreove
 r\, the technique used here allows us to compute the local\ndensities exac
 tly.\n\nThis talk is based on the recent preprint:\nhttps://arxiv.org/abs/
 2505.06820\n\nMC 5417
DTSTAMP:20260502T042114Z
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