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math.NT2014
Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms
Guoyou Qian, Shaofang Hong
Let and be two integers with , and let be the product of two linear polynomials with integer coefficients. In this paper, we show that $\log {\rm lcm}_{mn<…
math.NT2014
New results on permutation polynomials over finite fields
Xiaoer Qin, Guoyou Qian, Shaofang Hong
In this paper, we get several new results on permutation polynomials over finite fields. First, by using the linear translator, we construct permutation polynomials of the forms $L…
math.NT2014
The elementary symmetric functions of a reciprocal polynomial sequence
Yuanyuan Luo, Shaofang Hong, Guoyou Qian +1
Erdös and Niven proved in 1946 that for any positive integers and , there are at most finitely many integers for which at least one of the elementary symmetric functions…