The paper gives irrationality measures for the values of some Gauss hypergeometric functions both in the archimedean andp-adic case. Further, an improvement of general results is obtained in the case… Expand

The paper provides irrationality measures for certain values of binomial functions and definite integrals of some rational functions. The results are obtained using Jacobi type polynomials and… Expand

The paper gives a computational method for solving Diophantine equations aa;^ - 6^^ = K for certain a, 6 and A". The method is based on an effective irrationality measure result for \/a/b and on the… Expand

The paper gives a computational method for solving Diophantine equations aa; 6^^ = K for certain a, 6 and A". The method is based on an effective irrationality measure result for \/a/b and on the… Expand