On the Zeta-Functions of Some Simple Shimura Varieties

DOI10.4153/CJM-1979-102-1zbMath0444.14016WikidataQ105717054 ScholiaQ105717054MaRDI QIDQ3887583

Robert P. Langlands

Publication date: 1979

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Shimura varietiesSelberg trace formulaL-functionzeta-functions

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Arithmetic aspects of modular and Shimura varieties (11G18) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11S37) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (20)

On the zeta functions of Shimura varieties and periods of Hilbert modular forms ⋮ Non-paritious Hilbert modular forms ⋮ ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION ⋮ Zeta functions of Kuga fiber varieties ⋮ Mod $p$ points on Shimura varieties of abelian type ⋮ Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure ⋮ Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik ⋮ Higher regulators, Hilbert modular surfaces, and special values of \(L\)-functions ⋮ Unnamed Item ⋮ Points on Some Shimura Varieties Over Finite Fields ⋮ On the \(\lambda\)-adic representations associated to some simple Shimura varieties ⋮ Cohomologie d'intersection et fonctions $L$ de certaines variétés de Shimura ⋮ Unnamed Item ⋮ On the local zeta function of quaternionic Shimura varieties with bad reduction ⋮ Algebraic cycles on compact Shimura surface ⋮ Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert ⋮ L-indistinguishability for real groups ⋮ Shimura varieties and twisted orbital integrals ⋮ On Artin L-functions associated to Hilbert modular forms of weight one ⋮ Motives for Hilbert modular forms

This page was built for publication: On the Zeta-Functions of Some Simple Shimura Varieties