On the regulator of Fermat motives and generalized hypergeometric functions

2009/09/16 by Noriyuki Otsubo, Otsubo, Noriyuki · 1 citation
Mathematics · #19F27 #33C65 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0909.3002

openalex publication_date 2009/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the Beilinson regulators of motives associated to Fermat curves and express them by special values of generalized hypergeometric functions. As a result, we obtain surjectivity results of the regulator, which support the Beilinson conjecture on special values of L-functions.

Cited by

• On the Abel-Jacobi maps of Fermat Jacobians

Related

• On special values of Jacobi-sum Hecke L-functions
• Regulator of the Hesse cubic curves and hypergeometric functions
• The Beilinson Conjectures for CM Elliptic Curves via Hypergeometric Functions
• Regulators of K₂ of Hypergeometric Fibrations
• Hypergeometric Motives