Frontiers in Mathematical Sciences

Applications of the Hypergeometric Method to Diophantine Equations

Amir Ghadermarzi
University of Tehran


The idea of using pade approximations for approximating irrational numbers is originally due to Thue and Sigel. Hypergeomtric method is related to approximating the special values of hypergeometric series normally by using pade approximations and it’s main concern is obtaining rational approximation to irrational numbers. This makes hypergeometric method one of the main effective methods for solving Diophantine equations. In this talk We will discuss some classic and recent results concerning solving Diophantine equation by using hypergeometric method.