Diophantine Approximation for Certain Algebraic Formal Power Series in Positive Characteristic
Khalil Ayadi, Mohamed Hbaib, F. Mahjoub · Canadian Mathematical Bulletin · 2012
Abstract. In this paper, we study rational approximations for certain algebraic power series over a finite field. We obtain results for irrational elements of strictly positive degree satisfying an equation of the type where (A, B, C) ∊ (𝔽q[X])2 × 𝔽*q [X]. In particular, under some conditions on the polynomials A, B and C, we will give well approximated elements satisfying this equation.