Interpolation of hypergeometric ratios in a global field of positive characteristic

DOI10.5802/aif.2310zbMath1127.11075arXivmath/0606653OpenAlexW1787919255MaRDI QIDQ2461184

Greg W. Anderson

Publication date: 27 November 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606653

zbMATH Keywords

ShtukaCatalan-Drinfeld symbolColeman unithypergeometric ratio

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Class field theory (11R37)

Cites Work

• Gamma functions for function fields and Drinfeld modules
• Commutative subrings of certain noncommutative rings
• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic
• Shtukas and Jacobi sums
• On the Frobenius Endomorphisms of Fermat and Artin-Schreier Curves
• Interpolation of numbers of Catalan type in a local field of positive characteristic
• A two-variable refinement of the Stark conjecture in the function-field case
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