Matches in SemOpenAlex for { <https://semopenalex.org/work/W3159222697> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3159222697 abstract "By the unfolding method, Rankin-Selberg L-functions for ${rm GL}(n)times{rm GL}(m)$ can be expressed in terms of period integrals. These period integrals actually define invariant forms on tensor products of the relevant automorphic representations. By the multiplicity-one theorems due to Sun-Zhu and Chen-Sun such invariant forms are unique up to scalar multiples and can therefore be related to invariant forms on equivalent principal series representations. We construct meromorphic families of such invariant forms for spherical principal series representations of ${rm GL}(n,mathbb{R})$ and conjecture that their special values at the spherical vectors agree in absolute value with the archimedean local L-factors of the corresponding L-functions. We verify this conjecture in several cases. This work can be viewed as the first of two steps in a technique due to Bernstein-Reznikov for estimating L-functions using their period integral expressions." @default.
- W3159222697 created "2021-05-10" @default.
- W3159222697 creator A5052540658 @default.
- W3159222697 creator A5084831316 @default.
- W3159222697 date "2021-04-22" @default.
- W3159222697 modified "2023-09-30" @default.
- W3159222697 title "Rankin–Selberg periods for spherical principal series" @default.
- W3159222697 cites W1528690281 @default.
- W3159222697 cites W1844746402 @default.
- W3159222697 cites W1904408717 @default.
- W3159222697 cites W1951861716 @default.
- W3159222697 cites W1977825208 @default.
- W3159222697 cites W1994396064 @default.
- W3159222697 cites W1996945463 @default.
- W3159222697 cites W1998043969 @default.
- W3159222697 cites W2016879801 @default.
- W3159222697 cites W2018785141 @default.
- W3159222697 cites W2045544049 @default.
- W3159222697 cites W2090637740 @default.
- W3159222697 cites W2093679150 @default.
- W3159222697 cites W2099333723 @default.
- W3159222697 cites W2108243340 @default.
- W3159222697 cites W2130267689 @default.
- W3159222697 cites W2166179002 @default.
- W3159222697 cites W2331815041 @default.
- W3159222697 cites W2334173109 @default.
- W3159222697 cites W2490333269 @default.
- W3159222697 cites W2504265166 @default.
- W3159222697 cites W2963919989 @default.
- W3159222697 cites W3101438474 @default.
- W3159222697 cites W3103028295 @default.
- W3159222697 cites W3106264582 @default.
- W3159222697 cites W3121690625 @default.
- W3159222697 cites W346667423 @default.
- W3159222697 doi "https://doi.org/10.1007/s00229-021-01295-6" @default.
- W3159222697 hasPublicationYear "2021" @default.
- W3159222697 type Work @default.
- W3159222697 sameAs 3159222697 @default.
- W3159222697 citedByCount "0" @default.
- W3159222697 crossrefType "journal-article" @default.
- W3159222697 hasAuthorship W3159222697A5052540658 @default.
- W3159222697 hasAuthorship W3159222697A5084831316 @default.
- W3159222697 hasBestOaLocation W31592226972 @default.
- W3159222697 hasConcept C134306372 @default.
- W3159222697 hasConcept C156004811 @default.
- W3159222697 hasConcept C190333341 @default.
- W3159222697 hasConcept C190470478 @default.
- W3159222697 hasConcept C202444582 @default.
- W3159222697 hasConcept C207864730 @default.
- W3159222697 hasConcept C2524010 @default.
- W3159222697 hasConcept C2780990831 @default.
- W3159222697 hasConcept C33923547 @default.
- W3159222697 hasConcept C37914503 @default.
- W3159222697 hasConcept C57691317 @default.
- W3159222697 hasConceptScore W3159222697C134306372 @default.
- W3159222697 hasConceptScore W3159222697C156004811 @default.
- W3159222697 hasConceptScore W3159222697C190333341 @default.
- W3159222697 hasConceptScore W3159222697C190470478 @default.
- W3159222697 hasConceptScore W3159222697C202444582 @default.
- W3159222697 hasConceptScore W3159222697C207864730 @default.
- W3159222697 hasConceptScore W3159222697C2524010 @default.
- W3159222697 hasConceptScore W3159222697C2780990831 @default.
- W3159222697 hasConceptScore W3159222697C33923547 @default.
- W3159222697 hasConceptScore W3159222697C37914503 @default.
- W3159222697 hasConceptScore W3159222697C57691317 @default.
- W3159222697 hasFunder F4320310490 @default.
- W3159222697 hasFunder F4320321001 @default.
- W3159222697 hasLocation W31592226971 @default.
- W3159222697 hasLocation W31592226972 @default.
- W3159222697 hasLocation W31592226973 @default.
- W3159222697 hasOpenAccess W3159222697 @default.
- W3159222697 hasPrimaryLocation W31592226971 @default.
- W3159222697 hasRelatedWork W2000633464 @default.
- W3159222697 hasRelatedWork W2040068259 @default.
- W3159222697 hasRelatedWork W2067378705 @default.
- W3159222697 hasRelatedWork W2347244472 @default.
- W3159222697 hasRelatedWork W2897153210 @default.
- W3159222697 hasRelatedWork W2962690619 @default.
- W3159222697 hasRelatedWork W2964292522 @default.
- W3159222697 hasRelatedWork W3026358768 @default.
- W3159222697 hasRelatedWork W3137286201 @default.
- W3159222697 hasRelatedWork W4375947704 @default.
- W3159222697 isParatext "false" @default.
- W3159222697 isRetracted "false" @default.
- W3159222697 magId "3159222697" @default.
- W3159222697 workType "article" @default.