2 citations · 4 across the 6 of their papers we have counts for
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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…
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…
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…
Counting and testing dominant polynomials
Artūras Dubickas, Min Sha
In this paper, we concentrate on counting and testing dominant polynomials with integer coefficients. A polynomial is called dominant if it has a simple root whose modulus is stric…
On the lattices from elliptic curves over finite fields
Min Sha
In this paper, we continue the recent work of Fukshansky and Maharaj on lattices from elliptic curves over finite fields. We show that there exist bases formed by minimal vectors f…
Bounding -invariant of integral points on $X_{\ns}^{+}(p)$
Aurélien Bajolet, Min Sha
For prime , by using Baker's method we obtain two explicit bounds in terms of for the -invariant of an integral point on $X_{\ns}^{+}(p)$ which is the modular curve…