Fractional parts of Linear polynomials and an application to hypergeometric functions

DOI10.1017/S144678870000241XzbMath1019.11019MaRDI QIDQ2747268

Umberto Zannier, Roberto Dvornicich

Publication date: 25 February 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionrelationfractional partlinear polynomialalgebraic solutiontheorem of Schwarz

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Small fractional parts of polynomials and generalizations (11J54) Inhomogeneous linear forms (11J20)

Related Items (1)

Integral factorial ratios

Cites Work

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• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Algebraic solutions of differential equations (p-curvature and the Hodge filtration)
• On sums of roots of unity
• Diophantine approximation and sums of roots of unity
• On Second Order Linear Differential Equations with Algebraic Solutions

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