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Speaker:Zhou Haiyan, Professor, School of Mathematical Sciences, Nanjing Normal University
Date:Dec 17, 2021
Location:Tencent Meeting, ID:284 613 157
Sponsor:School of Mathematics, Shandong University
Let g be a given polynomial of positive degree over a finite field. Shparlinski and Weingartner proved that the proportion of monic polynomials of degree n which can be represented by $h + g^k$ has the order of magnitude 1/deg g, where h is chosen from the setof irreducible monic polynomials of degree n and k∈N. In this talk, we show that the proportion of monic polynomials of degree n which can be written as $l + g^p$ where l is the product of two monic irreducible polynomials with deg l = n and p is a prime number, still has the order of magnitude 1/deg g.
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