Algebraicity of special values of \(L\)-functions

DOI10.1007/BF01394148zbMath0666.12008OpenAlexW2042930695MaRDI QIDQ1116974

Pierre Colmez

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143649

zbMATH Keywords

imaginary quadratic fieldHecke charactersKronecker-Eisenstein seriesalgebraicity of special values of L-functions

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Transcendence (general theory) (11J81)

Related Items

An elementary identity in the theory of Hecke \(L\)-functions, Eisenstein cohomology classes for \(\mathrm{GL}_N\) over imaginary quadratic fields, Unnamed Item, Signed Shintani cones for number fields with one complex place, Eisenstein cocycles over imaginary quadratic fields and special values of \(L\)-functions, Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\), On the transcendence of critical Hecke \(L\)-values, Eisenstein group cocycles for \(\text{GL}_ n\) and values of \(L\)- functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Residue at \(s=1\) of \(p\)-adic zeta functions
• An elementary identity in the theory of Hecke \(L\)-functions
• A function on the upper half space which is analogous to the imaginary part of log η(z).
• Eisensteinkohomologie und Dedekindsummen für GL2 über imaginär-quadratischen Körpern.
• L-functions of elliptic curves with complex multiplication, I