Matches in SemOpenAlex for { <https://semopenalex.org/work/W2224502845> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2224502845 abstract "We study a variety of problems in the spectral theory of automorphic forms using entirely analytic techniques such as Selberg trace formula, asymptotics of Whittaker functions and behavior of heat kernels. Error terms for Weyl's law and an analog of Selberg's eigenvalue conjecture for $SL_3({bf Z})$ is given. We prove the following: Let $cal H$ be the homogeneous space associated to the group $PGL_3(bf R)$. Let $X = Gamma{backslash SL_3({bf Z}})$ and consider the first non-trivial eigenvalue $lambda_1$ of the Laplacian on $L^2(X)$. Using geometric considerations, we prove the inequality $lambda_1 > 3pi^2/10> 2.96088.$ Since the continuous spectrum is represented by the band $[1,infty)$, our bound on $lambda_{1}$ can be viewed as an analogue of Selberg's eigenvalue conjecture for quotients of the hyperbolic half space. Brief comment on relevance of automorphic forms to applications in high energy physics is given." @default.
- W2224502845 created "2016-06-24" @default.
- W2224502845 creator A5013522708 @default.
- W2224502845 creator A5016380361 @default.
- W2224502845 creator A5058858913 @default.
- W2224502845 creator A5066900177 @default.
- W2224502845 date "2003-04-15" @default.
- W2224502845 modified "2023-09-27" @default.
- W2224502845 title "Spectral theory of automorphic forms and analysis of invariant operators on $SL_3({cal{Z}}$ with applications" @default.
- W2224502845 hasPublicationYear "2003" @default.
- W2224502845 type Work @default.
- W2224502845 sameAs 2224502845 @default.
- W2224502845 citedByCount "0" @default.
- W2224502845 crossrefType "posted-content" @default.
- W2224502845 hasAuthorship W2224502845A5013522708 @default.
- W2224502845 hasAuthorship W2224502845A5016380361 @default.
- W2224502845 hasAuthorship W2224502845A5058858913 @default.
- W2224502845 hasAuthorship W2224502845A5066900177 @default.
- W2224502845 hasConcept C105795698 @default.
- W2224502845 hasConcept C114614502 @default.
- W2224502845 hasConcept C121332964 @default.
- W2224502845 hasConcept C132817261 @default.
- W2224502845 hasConcept C134306372 @default.
- W2224502845 hasConcept C136119220 @default.
- W2224502845 hasConcept C136197465 @default.
- W2224502845 hasConcept C138885662 @default.
- W2224502845 hasConcept C143432099 @default.
- W2224502845 hasConcept C158693339 @default.
- W2224502845 hasConcept C165700671 @default.
- W2224502845 hasConcept C199422724 @default.
- W2224502845 hasConcept C199479865 @default.
- W2224502845 hasConcept C202444582 @default.
- W2224502845 hasConcept C204575570 @default.
- W2224502845 hasConcept C2778113609 @default.
- W2224502845 hasConcept C2778572836 @default.
- W2224502845 hasConcept C2780990831 @default.
- W2224502845 hasConcept C33923547 @default.
- W2224502845 hasConcept C41895202 @default.
- W2224502845 hasConcept C62520636 @default.
- W2224502845 hasConceptScore W2224502845C105795698 @default.
- W2224502845 hasConceptScore W2224502845C114614502 @default.
- W2224502845 hasConceptScore W2224502845C121332964 @default.
- W2224502845 hasConceptScore W2224502845C132817261 @default.
- W2224502845 hasConceptScore W2224502845C134306372 @default.
- W2224502845 hasConceptScore W2224502845C136119220 @default.
- W2224502845 hasConceptScore W2224502845C136197465 @default.
- W2224502845 hasConceptScore W2224502845C138885662 @default.
- W2224502845 hasConceptScore W2224502845C143432099 @default.
- W2224502845 hasConceptScore W2224502845C158693339 @default.
- W2224502845 hasConceptScore W2224502845C165700671 @default.
- W2224502845 hasConceptScore W2224502845C199422724 @default.
- W2224502845 hasConceptScore W2224502845C199479865 @default.
- W2224502845 hasConceptScore W2224502845C202444582 @default.
- W2224502845 hasConceptScore W2224502845C204575570 @default.
- W2224502845 hasConceptScore W2224502845C2778113609 @default.
- W2224502845 hasConceptScore W2224502845C2778572836 @default.
- W2224502845 hasConceptScore W2224502845C2780990831 @default.
- W2224502845 hasConceptScore W2224502845C33923547 @default.
- W2224502845 hasConceptScore W2224502845C41895202 @default.
- W2224502845 hasConceptScore W2224502845C62520636 @default.
- W2224502845 hasLocation W22245028451 @default.
- W2224502845 hasOpenAccess W2224502845 @default.
- W2224502845 hasPrimaryLocation W22245028451 @default.
- W2224502845 hasRelatedWork W1134140111 @default.
- W2224502845 hasRelatedWork W1435846554 @default.
- W2224502845 hasRelatedWork W1449605143 @default.
- W2224502845 hasRelatedWork W1493435608 @default.
- W2224502845 hasRelatedWork W1966220036 @default.
- W2224502845 hasRelatedWork W2020782321 @default.
- W2224502845 hasRelatedWork W2021737378 @default.
- W2224502845 hasRelatedWork W2082145696 @default.
- W2224502845 hasRelatedWork W2084558741 @default.
- W2224502845 hasRelatedWork W2138648530 @default.
- W2224502845 hasRelatedWork W2182282761 @default.
- W2224502845 hasRelatedWork W2298351560 @default.
- W2224502845 hasRelatedWork W2765655039 @default.
- W2224502845 hasRelatedWork W2782230610 @default.
- W2224502845 hasRelatedWork W2901318593 @default.
- W2224502845 hasRelatedWork W2962692533 @default.
- W2224502845 hasRelatedWork W2969964811 @default.
- W2224502845 hasRelatedWork W3102889856 @default.
- W2224502845 hasRelatedWork W608141740 @default.
- W2224502845 hasRelatedWork W2511045847 @default.
- W2224502845 isParatext "false" @default.
- W2224502845 isRetracted "false" @default.
- W2224502845 magId "2224502845" @default.
- W2224502845 workType "article" @default.