On the irrationality of the values of hypergeometric functions

This paper investigates the arithmetic properties of the values of certain hypergeometric functions at points in an imaginary quadratic field $\mathbf I $. Under certain conditions it is proved that these values are linearly independent over $\mathbf I $. An effective lower bound is given for a linear form, which contains the maximum modulus of its coefficients. An estimate is also given which depends on the bounds within which each of the coefficients varies.
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