Diophantine equations in separated variables and lacunary polynomials
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Number Theory"
DOI: 10.1142/s179304211750110x
Abstract: We study Diophantine equations of type f(x) = g(y), where f and g are lacunary polynomials. According to a well-known finiteness criterion, for a number field K and nonconstant f,g ∈ K[x], the equation f(x)… read more here.
Keywords: variables lacunary; equations separated; lacunary polynomials; separated variables ... See more keywords
On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematical Physics"
DOI: 10.1155/2018/9089865
Abstract: In this paper, we investigate the existence and uniqueness of solutions for a boundary value problem for second-order quantum (p,q)-difference equations with separated boundary conditions, by using classical fixed point theorems. Examples illustrating the main… read more here.
Keywords: difference equations; second order; separated boundary; equations separated ... See more keywords