Interpolation of numbers of Catalan type in a local field of positive characteristic

DOI10.1515/CRELLE.2007.061zbMath1133.11041arXivmath/0601479OpenAlexW2039732074MaRDI QIDQ5421686

Greg W. Anderson

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601479

zbMATH Keywords

Stark conjectureCatalan symbolcharacteristic \(p\)--gamma functionsFourier analysis in function fieldsGeometric class field theoryrigged latticesTheta symbol

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Geometric class field theory (11G45) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (1)

Interpolation of hypergeometric ratios in a global field of positive characteristic

Cites Work

• Rank one elliptic \(A\)-modules and \(A\)-harmonic series
• Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic
• Formal complex multiplication in local fields
• On the Frobenius Endomorphisms of Fermat and Artin-Schreier Curves
• A two-variable refinement of the Stark conjecture in the function-field case

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