Matches in SemOpenAlex for { <https://semopenalex.org/work/W2606663308> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2606663308 abstract "In this paper, we give an explicit dimension formula for the spaces of Siegel paramodular cusp forms of degree two of squarefree level. As an application, we propose a conjecture on symplectic group version of Eichler–Jacquet–Langlands type correspondence. It is a generalization of the previous conjecture of the first named author for prime levels published in 1985, where inner twists corresponding to binary quaternion hermitian forms over definite quaternion algebras were treated. Our present study contains also the case of indefinite quaternion algebras. Additionally, we give numerical examples of $L$ functions which support the conjecture. These comparisons of dimensions and examples give also evidence for conjecture on a certain precise lifting theory. This is related to the lifting theory from pairs of elliptic cusp forms initiated by Y. Ihara in 1964 in the case of compact twist, but no such construction is known in the case of non-split symplectic groups corresponding to quaternion hermitian groups over indefinite quaternion algebras and this is new in that sense." @default.
- W2606663308 created "2017-04-28" @default.
- W2606663308 creator A5005960722 @default.
- W2606663308 creator A5039044067 @default.
- W2606663308 date "2017-04-01" @default.
- W2606663308 modified "2023-09-26" @default.
- W2606663308 title "Dimension formulas of paramodular forms of squarefree level and comparison with inner twist" @default.
- W2606663308 cites W116032416 @default.
- W2606663308 cites W1527755339 @default.
- W2606663308 cites W1546958329 @default.
- W2606663308 cites W154780355 @default.
- W2606663308 cites W164928761 @default.
- W2606663308 cites W1983705086 @default.
- W2606663308 cites W1990131656 @default.
- W2606663308 cites W199277345 @default.
- W2606663308 cites W1993615558 @default.
- W2606663308 cites W2003608551 @default.
- W2606663308 cites W2029022644 @default.
- W2606663308 cites W2067888446 @default.
- W2606663308 cites W2068878316 @default.
- W2606663308 cites W2087994052 @default.
- W2606663308 cites W2095527879 @default.
- W2606663308 cites W2150547917 @default.
- W2606663308 cites W2315055882 @default.
- W2606663308 cites W2333622064 @default.
- W2606663308 cites W2490333269 @default.
- W2606663308 cites W3087873472 @default.
- W2606663308 cites W654989342 @default.
- W2606663308 doi "https://doi.org/10.2969/jmsj/06920597" @default.
- W2606663308 hasPublicationYear "2017" @default.
- W2606663308 type Work @default.
- W2606663308 sameAs 2606663308 @default.
- W2606663308 citedByCount "5" @default.
- W2606663308 countsByYear W26066633082017 @default.
- W2606663308 countsByYear W26066633082018 @default.
- W2606663308 countsByYear W26066633082019 @default.
- W2606663308 countsByYear W26066633082021 @default.
- W2606663308 crossrefType "journal-article" @default.
- W2606663308 hasAuthorship W2606663308A5005960722 @default.
- W2606663308 hasAuthorship W2606663308A5039044067 @default.
- W2606663308 hasBestOaLocation W26066633081 @default.
- W2606663308 hasConcept C114614502 @default.
- W2606663308 hasConcept C134306372 @default.
- W2606663308 hasConcept C188139237 @default.
- W2606663308 hasConcept C202444582 @default.
- W2606663308 hasConcept C2524010 @default.
- W2606663308 hasConcept C2776196297 @default.
- W2606663308 hasConcept C33676613 @default.
- W2606663308 hasConcept C33923547 @default.
- W2606663308 hasConceptScore W2606663308C114614502 @default.
- W2606663308 hasConceptScore W2606663308C134306372 @default.
- W2606663308 hasConceptScore W2606663308C188139237 @default.
- W2606663308 hasConceptScore W2606663308C202444582 @default.
- W2606663308 hasConceptScore W2606663308C2524010 @default.
- W2606663308 hasConceptScore W2606663308C2776196297 @default.
- W2606663308 hasConceptScore W2606663308C33676613 @default.
- W2606663308 hasConceptScore W2606663308C33923547 @default.
- W2606663308 hasIssue "2" @default.
- W2606663308 hasLocation W26066633081 @default.
- W2606663308 hasLocation W26066633082 @default.
- W2606663308 hasOpenAccess W2606663308 @default.
- W2606663308 hasPrimaryLocation W26066633081 @default.
- W2606663308 hasRelatedWork W1977013452 @default.
- W2606663308 hasRelatedWork W2057495283 @default.
- W2606663308 hasRelatedWork W2105325102 @default.
- W2606663308 hasRelatedWork W2312884136 @default.
- W2606663308 hasRelatedWork W2606663308 @default.
- W2606663308 hasRelatedWork W2776337928 @default.
- W2606663308 hasRelatedWork W2797831773 @default.
- W2606663308 hasRelatedWork W2963137414 @default.
- W2606663308 hasRelatedWork W2990938197 @default.
- W2606663308 hasRelatedWork W4307644061 @default.
- W2606663308 hasVolume "69" @default.
- W2606663308 isParatext "false" @default.
- W2606663308 isRetracted "false" @default.
- W2606663308 magId "2606663308" @default.
- W2606663308 workType "article" @default.