We present a method for determining the one-dimensional submodules of a Laurent-Ore module. The method is based on a correspondence between hyperexponential solutions of associated systems and… (More)

This paper presents two classes of permutation trinomials with the form xs(2m−1)+1+xt(2m−1)+1+x $x^{s(2^{m}-1)+ 1}+x^{t(2^{m}-1)+ 1}+x$ over the finite field 𝔽22m $ \mathbb {F}_{2^{2m}}$ as a… (More)

We give a necessary and sufficient condition such that the class of $$p$$ p -ary binomial functions proposed by Jia et al. (IEEE Trans Inf Theory 58(9):6054–6063, 2012) are regular bent functions,… (More)

This note presents two classes of permutation polynomials of the form $$(x^{p^m}-x+\delta )^s+L(x)$$ ( x p m - x + δ ) s + L ( x ) over the finite fields $${{\mathbb {F}}}_{p^{2m}}$$ F p 2 m as a… (More)

Let F = C(x1, . . . , x`, x`+1, . . . , xm), where x1, . . . , x` are continuous variables, and x`+1, . . . , xm are discrete variables. We show that a hyperexponential function, which is algebraic… (More)

A Wronskian (resp. Casoratian) criterion is useful to test linear dependence of elements in a differential (resp. difference) field over constants. We generalize this criterion for invertible… (More)

A multivariate hyperexponential function is a function whose"logarithmic derivatives" are rational. Examples ofhyperexponential functions include rational functions, exponentialfunctions, and… (More)