On the regulator of Fermat motives and generalized hypergeometric functions

DOI10.1515/CRELLE.2011.083zbMath1284.19007arXiv0909.3002OpenAlexW2962800763MaRDI QIDQ3103804

Noriyuki Otsubo

Publication date: 12 December 2011

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/0909.3002

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Generalized hypergeometric series, ({}_pF_q) (33C20) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (9)

Fermat curves and a refinement of the reciprocity law on cyclotomic units ⋮ The fundamental group and extensions of motives of Jacobians of curves ⋮ Cycles on Jacobians of Fermat curves and hypergeometric functions ⋮ Certain values of Hecke \(L\)-functions and generalized hypergeometric functions ⋮ On the Abel-Jacobi maps of Fermat Jacobians ⋮ 𝐾₂ of certain families of plane quartic curves ⋮ The Beilinson conjectures for CM elliptic curves via hypergeometric functions ⋮ Regulators of \(K_2\) of hypergeometric fibrations ⋮ \(K_2\) of families of curves with non-torsion differences in divisorial support

Cites Work

• Certain values of Hecke \(L\)-functions and generalized hypergeometric functions
• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• Higher regulators and values of \(L\)-functions
• La conjecture de Weil. II
• Higher regulators and values of L-functions of curves
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• La conjecture de Weil. I
• Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I
• Opérations En K-Théorie Algébrique
• Numbers of solutions of equations in finite fields
• Unnamed Item

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