On the linear independence of the values of Gauss hypergeometric function

Merilä, Ville

doi:10.4064/aa144-4-3

Acta Arith.

2010

DOI: 10.4064/aa144-4-3

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On the linear independence of the values of Gauss hypergeometric function

Ville Merilä

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2011

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A Nonvanishing Lemma for Certain Padé Approximations of the Second Kind

Merilä

2011

Int. J. Number Theory

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We prove the nonvanishing lemma for explicit second kind Padé approximations to generalized hypergeometric and q-hypergeometric functions. The proof is based on an evaluation of a generalized Vandermonde determinant. Also, some immediate applications to the Diophantine approximation is given in the form of sharp linear independence measures for hypergeometric E- and G-functions in algebraic number fields with different valuations.

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A Nonvanishing Lemma for Certain Padé Approximations of the Second Kind

Merilä

2011

Int. J. Number Theory

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On the linear independence of the values of Gauss hypergeometric function

Cited by 1 publication

References 16 publications

A Nonvanishing Lemma for Certain Padé Approximations of the Second Kind

A Nonvanishing Lemma for Certain Padé Approximations of the Second Kind

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