\(K_ 2\) of a Fermat quotient and the value of its \(L\)-function

DOI10.1007/BF00534889zbMath0840.19003OpenAlexW2012135389MaRDI QIDQ1908235

Ken-Ichiro Kimura

Publication date: 26 June 1996

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534889

zbMATH Keywords

theta seriesregulatorFermat curvenumerical evidence for Beilinson's conjecture

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Relations of (K)-theory with cohomology theories (19E20) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (4)

Certain values of Hecke \(L\)-functions and generalized hypergeometric functions ⋮ 𝐾₂ of certain families of plane quartic curves ⋮ \(K_2\) of families of curves with non-torsion differences in divisorial support ⋮ On Special Values of Jacobi-Sum HeckeL-Functions

Cites Work

• Higher regulators and values of \(L\)-functions
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I
• Numbers of solutions of equations in finite fields
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