TRACE FORMULA IN NONCOMMUTATIVE GEOMETRY AND THE RIEMANN-HYPOTHESIS

Authors
CONNES A
Citation
A. Connes, TRACE FORMULA IN NONCOMMUTATIVE GEOMETRY AND THE RIEMANN-HYPOTHESIS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(12), 1996, pp. 1231-1236
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
12
Year of publication
1996
Pages
1231 - 1236
Database
ISI
SICI code
0764-4442(1996)323:12<1231:TFINGA>2.0.ZU;2-K
Abstract
We reduce the Riemann hypothesis for L functions on a global field k t o the validity (not rigorously justified) of a trace formula for the a ction of the idele class group on the noncommutative space quotient of the adeles of k by the multiplicative group of k.