8 citations · 46 across the 57 of their papers we have counts for
64 papers
Multiplicative dependence modulo subsets
Min Sha
In this paper, we show that if the non-constant rational functions over a number field cannot multiplicatively generate a power of a linear fractiona…
Constacyclic codes with best-known parameters
Zekai Chen, Min Sha
In this paper, we construct several infinite families of -ary constacyclic codes over a finite field with length , dimension around , and minimum distance…
Three integers arising from Bézout's identity and resultants of integer polynomials
Zhiqian Liu, Xiaoting Li, Wenheng Liu +1
In this paper, we study three integers arising naturally from Bézout's identity, the resultant and the reduced resultant of two coprime integer polynomials. We establish several ne…
Counting integer polynomials with several roots of maximal modulus
Artūras Dubickas, Min Sha
In this paper, for positive integers and , we obtain some estimates on the cardinality of the set of monic integer polynomials of degree and height bounded by …
On Euler's totient function of polynomials over finite fields
Xiumei Li, Min Sha
In this paper, we study some typical arithmetic properties of Euler's totient function of polynomials over finite fields. Especially, we study polynomial analogues of some classica…
Explicit bounds for the solutions of superelliptic equations over number fields
Attila Bérczes, Yann Bugeaud, Kálmán Győry +3
Let be a polynomial with coefficients in the ring of -integers of a number field , a non-zero -integer, and an integer . We consider the equation…