Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950868462> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2950868462 abstract "After extending the theory of Rankin-Selberg local factors to pairs of $ell$-modular representations of Whittaker type, of general linear groups over a non-archimedean local field, we study the reduction modulo $ell$ of $ell$-adic local factors and their relation to these $ell$-modular local factors. While the $ell$-modular local $gamma$-factor we associate to such a pair turns out to always coincide with the reduction modulo $ell$ of the $ell$-adic $gamma$-factor of any Whittaker lifts of this pair, the local $L$-factor exhibits a more interesting behaviour; always dividing the reduction modulo-$ell$ of the $ell$-adic $L$-factor of any Whittaker lifts, but with the possibility of a strict division occurring. In our main results, we completely describe $ell$-modular $L$-factors in the generic case. We obtain two simple to state nice formulae: Let $pi,pi'$ be generic $ell$-modular representations; then, writing $pi_b,pi'_b$ for their banal parts, we have [L(X,pi,pi')=L(X,pi_b,pi_b').] Using this formula, we obtain the inductivity relations for local factors of generic representations. Secondly, we show that [L(X,pi,pi')=mathbf{GCD}(r_{ell}(L(X,tau,tau'))),] where the divisor is over all integral generic $ell$-adic representations $tau$ and $tau'$ which contain $pi$ and $pi'$, respectively, as subquotients after reduction modulo $ell$." @default.
- W2950868462 created "2019-06-27" @default.
- W2950868462 creator A5017608908 @default.
- W2950868462 creator A5059665622 @default.
- W2950868462 date "2014-08-22" @default.
- W2950868462 modified "2023-09-27" @default.
- W2950868462 title "Rankin-Selberg local factors modulo $ell$" @default.
- W2950868462 cites W1546915060 @default.
- W2950868462 cites W1581713906 @default.
- W2950868462 cites W1623917339 @default.
- W2950868462 cites W1837623393 @default.
- W2950868462 cites W1981020209 @default.
- W2950868462 cites W2012031579 @default.
- W2950868462 cites W2046944609 @default.
- W2950868462 cites W2056516158 @default.
- W2950868462 cites W2181388824 @default.
- W2950868462 cites W2334582556 @default.
- W2950868462 cites W2337867721 @default.
- W2950868462 cites W2411510322 @default.
- W2950868462 cites W2962792532 @default.
- W2950868462 cites W2963888886 @default.
- W2950868462 cites W912076416 @default.
- W2950868462 hasPublicationYear "2014" @default.
- W2950868462 type Work @default.
- W2950868462 sameAs 2950868462 @default.
- W2950868462 citedByCount "2" @default.
- W2950868462 countsByYear W29508684622014 @default.
- W2950868462 countsByYear W29508684622015 @default.
- W2950868462 crossrefType "posted-content" @default.
- W2950868462 hasAuthorship W2950868462A5017608908 @default.
- W2950868462 hasAuthorship W2950868462A5059665622 @default.
- W2950868462 hasConcept C111335779 @default.
- W2950868462 hasConcept C114614502 @default.
- W2950868462 hasConcept C202444582 @default.
- W2950868462 hasConcept C203492994 @default.
- W2950868462 hasConcept C2524010 @default.
- W2950868462 hasConcept C33923547 @default.
- W2950868462 hasConcept C53009064 @default.
- W2950868462 hasConcept C54732982 @default.
- W2950868462 hasConcept C75764964 @default.
- W2950868462 hasConcept C94375191 @default.
- W2950868462 hasConceptScore W2950868462C111335779 @default.
- W2950868462 hasConceptScore W2950868462C114614502 @default.
- W2950868462 hasConceptScore W2950868462C202444582 @default.
- W2950868462 hasConceptScore W2950868462C203492994 @default.
- W2950868462 hasConceptScore W2950868462C2524010 @default.
- W2950868462 hasConceptScore W2950868462C33923547 @default.
- W2950868462 hasConceptScore W2950868462C53009064 @default.
- W2950868462 hasConceptScore W2950868462C54732982 @default.
- W2950868462 hasConceptScore W2950868462C75764964 @default.
- W2950868462 hasConceptScore W2950868462C94375191 @default.
- W2950868462 hasLocation W29508684621 @default.
- W2950868462 hasOpenAccess W2950868462 @default.
- W2950868462 hasPrimaryLocation W29508684621 @default.
- W2950868462 hasRelatedWork W1571956088 @default.
- W2950868462 hasRelatedWork W1965919964 @default.
- W2950868462 hasRelatedWork W2012181904 @default.
- W2950868462 hasRelatedWork W2057115864 @default.
- W2950868462 hasRelatedWork W2138676592 @default.
- W2950868462 hasRelatedWork W2368204745 @default.
- W2950868462 hasRelatedWork W2698071152 @default.
- W2950868462 hasRelatedWork W2795788551 @default.
- W2950868462 hasRelatedWork W2914865404 @default.
- W2950868462 hasRelatedWork W2941676952 @default.
- W2950868462 hasRelatedWork W2949414912 @default.
- W2950868462 hasRelatedWork W2949967028 @default.
- W2950868462 hasRelatedWork W2950051862 @default.
- W2950868462 hasRelatedWork W2951394900 @default.
- W2950868462 hasRelatedWork W2952777688 @default.
- W2950868462 hasRelatedWork W2962696412 @default.
- W2950868462 hasRelatedWork W3100656808 @default.
- W2950868462 hasRelatedWork W3110330882 @default.
- W2950868462 hasRelatedWork W3127983385 @default.
- W2950868462 hasRelatedWork W3135486351 @default.
- W2950868462 isParatext "false" @default.
- W2950868462 isRetracted "false" @default.
- W2950868462 magId "2950868462" @default.
- W2950868462 workType "article" @default.