A. BLOCH 1 recently extended to complex coefficients Lucas's method 2 of the solution of polynomial equations with the aid of an electrolytic tank. Points of the tank represent complex numbers either ...
Three researchers from Bristol University are seeking to develop methods for analysing the distribution of integer solutions to polynomial equations. How do you know when a polynomial equation has ...
A reader sent in this question: “ Hi. I was wondering if you could help me figure out finding a complex root problem. If you could explain how it's done that would be great The simple, easy solution ...
A polynomial parametrization for the group of integer two-by-two matrices with determinant one is given, solving an old open problem of Skolem and Beurkers. It follows that, for many Diophantine ...
The theory of Appell polynomials has long intrigued researchers due to its elegant algebraic structure and rich connections with differential equations. At its core, an Appell sequence is ...
After German mathematician Gerd Faltings proved the Mordell conjecture in 1983, he was awarded the Fields Medal, often described as the “Nobel Prize of Mathematics.” The conjecture describes the set ...
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