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math.NT2023
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…
math.NT2023
Euclidean minima of algebraic number fields
Artūras Dubickas, Min Sha, Igor E. Shparlinski
In this paper, we use some of our previous results to improve an upper bound of Bayer-Fluckiger, Borello and Jossen on the Euclidean minima of algebraic number fields. Our bound de…
math.NT2023
On the generalized Fibonacci sequence of polynomials over finite fields
Zekai Chen, Min Sha, Chen Wei
In this paper, as an analogue of the integer case, we study detailedly the period and the rank of the generalized Fibonacci sequence of polynomials over a finite field modulo an ar…