Logarithmic-type and exponential-type hypergeometric functions for function fields

DOI10.1016/j.jnt.2021.05.016zbMath1498.11227OpenAlexW3184655564WikidataQ114156928 ScholiaQ114156928MaRDI QIDQ2064325

Takehiro Hasegawa

Publication date: 5 January 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.05.016

zbMATH Keywords

function fieldshypergeometric functionsDrinfeld modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Arithmetic theory of polynomial rings over finite fields (11T55)

Uses Software

• DLMF

Cites Work

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• Some special functions over \(GF (q,x)\)
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• On the arithmetic of some division algebras
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• Explicit formulas for Drinfeld modules and their periods
• Remarks on a paper by El-Guindy and Papanikolas
• Evolution equations and functions of hypergeometric type over fields of positive characteristics
• A set of polynomials
• Legendre Drinfeld modules and universal supersingular polynomials
• Algebraic Function Fields and Codes
• Hypergeometric Functions and Carlitz Differential Equations over Function Fields
• Elliptic Curves
• ON ASYMPTOTICALLY OPTIMAL TOWERS OVER QUADRATIC FIELDS RELATED TO GAUSS HYPERGEOMETRIC FUNCTIONS
• A Class of Polynomials
• An analogue of the von Staudt-Clausen theorem

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