
langlands-dealigney sthanik sthirank

ganitat, langlands-deligney sthanik sthirank, jyala sthanik epsilon ghatak kinwa sthanik artin mool sankhya ("s" chya prathamik vastavik karyaparyant) mhanoon dekhil olakhale jaate, heey sthanik kshetrachya well gatachya pratinidhitvas sambandhit eka prathamik karya aahe. karyatmak samikaran
artin ell-functionche eka prathamik karya ε (ρ, s) tyat disate, jeey artin ruut number gunile "s" chey prathamik vastavik karya navachya sthirankachya barobariche asate aanee langlandsney shodhale qee ε (ρ, s) heey utpadan mhanoon vihit paddhatine lihile jaau shakate.
v" yaa avibhajya aakadyanshi sambandhit sthanik sthirank ε (ρ "v", "s", "si" v ").
tetechya prabandhat ρ haah 1-aayami aahe yaa prakaranat sthanik sthirankanche astitva tetene siddha kele.
 chinhaparyant sthanik sthirank ε (ρ "v", s ", si" v ") chey astitva siddha jhaale.
vaparlelya sthanik paddhatindware sthanik sthirankanchya astitvacha mool purava aanee too barach lamb aanee guntagunticha hota aanee kadhihi prakashit jhaala navhata. nantar jaagtik paddhatincha vapar karoon eka sopa purava sapadala.
malmatta.
sthanik sthirank ε (ρ, s, si "e") heey well gatachya ρ pratinidhitvavar aanee "e" chya yogatmak gatachya si "e" varnanchya nivadivar avalambun asatat. teey khaleel atty purn karatatah
prerit varnanvaril brourche pramey soochit karate qee heey teen gunadharm sthanik sthirankanche vaishishtya darshavtat.
 heey dakhavun dile qee well gatachya vastavik (orthogonal) pratinidhitvasathi sthanik sthirank kshullak aahet.
sanketik adhiveshan.
sthanik sthirank darshavinyasathi anek bhinn parampara aahet.