Jump to content

Category:Zeta and L-functions: Difference between revisions

From Wikipedia, the free encyclopedia
Content deleted Content added
No edit summary
tweak
Line 1: Line 1:
[[Zeta function (disambiguation)|Zeta-function]]s and [[L-function]]s express important relations between the [[geometry]] of [[Riemann surfaces]], [[number theory]] and [[dynamical systems]]. Zeta-functions, and their generalizations such as the [[Selberg class S]], are conjectured to have various important properties, including generalizations of the [[Riemann hypothesis]] and various relationships with [[automorphic form]]s as well as to the representations of groups. The pursuit of the relationships comprises the [[Langlands program]].
[[Zeta function (disambiguation)|Zeta-function]]s and [[L-function]]s express important relations between the [[geometry]] of [[Riemann surfaces]], [[number theory]] and [[dynamical systems]]. Zeta-functions, and their generalizations such as the [[Selberg class]] S, are conjectured to have various important properties, including generalizations of the [[Riemann hypothesis]] and various relationships with [[automorphic form]]s as well as to the representations of groups. The pursuit of the relationships comprises the [[Langlands program]].


{{MSC|id=11Mxx|title='''MSC 11M''' ''Zeta and L-functions: analytic theory''}}
{{MSC|id=11Mxx|title='''MSC 11M''' ''Zeta and L-functions: analytic theory''}}

Revision as of 05:59, 25 July 2012

Zeta-functions and L-functions express important relations between the geometry of Riemann surfaces, number theory and dynamical systems. Zeta-functions, and their generalizations such as the Selberg class S, are conjectured to have various important properties, including generalizations of the Riemann hypothesis and various relationships with automorphic forms as well as to the representations of groups. The pursuit of the relationships comprises the Langlands program.

This category corresponds roughly to MSC 11Mxx MSC 11M Zeta and L-functions: analytic theory'; see 11Mxx at MathSciNet and 11Mxx at zbMATH.

Pages in category "Zeta and L-functions"

The following 102 pages are in this category, out of 102 total. This list may not reflect recent changes.