ON DIOPHANTINE INEQUALITY INVOLVING A CLASS OF G-FUNCTIONS IN p-ADIC FORM

Since C. L. Siegel introduced E-functions aud G-functions in 1929, A. B. had developed Siegel’s method and established the Siegel-’s theory of E-functions. Recently, some mathematiciansdiscussed the algebraic independence of the values of G-functions at the algebraic points around 0 gave the estimations of low bounds for polynomial forms, and obtained the p-adic form of such results. These estimations depend on the maximum of the coefficients of a polynomial