Matches in SemOpenAlex for { <https://semopenalex.org/work/W4353113506> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4353113506 abstract "In the context of Drinfeld-Hayes modules over any curve $X/mathbb{F}_q$ with a point $inftyin X(mathbb{F}_q)$, the author proved in a previous paper that the product between a so-called special function and a zeta-like function `a la Pellarin is rational over $X_{mathbb{C}_infty}$, and that the latter can be interpreted as a dual special function. Both results are generalized in this paper to Drinfeld modules of arbitrary rank. We use a very simple functorial point of view to interpret special functions and dual special functions in a Drinfeld module $phi$ of arbitrary rank, allowing us to define a universal special function $omega_phi$ and a universal dual special function $zeta_phi$. In analogy to the Drinfeld-Hayes case, we prove that the latter can be expressed as an Eisenstein-like series over the period lattice, and that the scalar product $omega_phicdotzeta_phi$, an element of $mathbb{C}_inftyhatotimesOmega$, is rational; although - unlike in the case of rank 1 - we are not able to fully recover its divisor. We also describe the module of special functions in the generality of Anderson modules, as already done by Gazda and Maurischat, and answer a question they posed about the invertibility of special functions in the context of Drinfeld-Hayes modules." @default.
- W4353113506 created "2023-03-23" @default.
- W4353113506 creator A5077015422 @default.
- W4353113506 date "2023-03-20" @default.
- W4353113506 modified "2023-10-18" @default.
- W4353113506 title "Special functions and dual special functions in Drinfeld modules of arbitrary rank" @default.
- W4353113506 doi "https://doi.org/10.48550/arxiv.2303.11468" @default.
- W4353113506 hasPublicationYear "2023" @default.
- W4353113506 type Work @default.
- W4353113506 citedByCount "0" @default.
- W4353113506 crossrefType "posted-content" @default.
- W4353113506 hasAuthorship W4353113506A5077015422 @default.
- W4353113506 hasBestOaLocation W43531135061 @default.
- W4353113506 hasConcept C114614502 @default.
- W4353113506 hasConcept C121332964 @default.
- W4353113506 hasConcept C136119220 @default.
- W4353113506 hasConcept C14036430 @default.
- W4353113506 hasConcept C151730666 @default.
- W4353113506 hasConcept C164226766 @default.
- W4353113506 hasConcept C202444582 @default.
- W4353113506 hasConcept C2524010 @default.
- W4353113506 hasConcept C2779343474 @default.
- W4353113506 hasConcept C2779557605 @default.
- W4353113506 hasConcept C33923547 @default.
- W4353113506 hasConcept C62520636 @default.
- W4353113506 hasConcept C78458016 @default.
- W4353113506 hasConcept C86803240 @default.
- W4353113506 hasConcept C90673727 @default.
- W4353113506 hasConceptScore W4353113506C114614502 @default.
- W4353113506 hasConceptScore W4353113506C121332964 @default.
- W4353113506 hasConceptScore W4353113506C136119220 @default.
- W4353113506 hasConceptScore W4353113506C14036430 @default.
- W4353113506 hasConceptScore W4353113506C151730666 @default.
- W4353113506 hasConceptScore W4353113506C164226766 @default.
- W4353113506 hasConceptScore W4353113506C202444582 @default.
- W4353113506 hasConceptScore W4353113506C2524010 @default.
- W4353113506 hasConceptScore W4353113506C2779343474 @default.
- W4353113506 hasConceptScore W4353113506C2779557605 @default.
- W4353113506 hasConceptScore W4353113506C33923547 @default.
- W4353113506 hasConceptScore W4353113506C62520636 @default.
- W4353113506 hasConceptScore W4353113506C78458016 @default.
- W4353113506 hasConceptScore W4353113506C86803240 @default.
- W4353113506 hasConceptScore W4353113506C90673727 @default.
- W4353113506 hasLocation W43531135061 @default.
- W4353113506 hasOpenAccess W4353113506 @default.
- W4353113506 hasPrimaryLocation W43531135061 @default.
- W4353113506 hasRelatedWork W1978042415 @default.
- W4353113506 hasRelatedWork W2025511434 @default.
- W4353113506 hasRelatedWork W2044496651 @default.
- W4353113506 hasRelatedWork W2050801211 @default.
- W4353113506 hasRelatedWork W2087734572 @default.
- W4353113506 hasRelatedWork W2783911801 @default.
- W4353113506 hasRelatedWork W2952285051 @default.
- W4353113506 hasRelatedWork W2963179930 @default.
- W4353113506 hasRelatedWork W4230292203 @default.
- W4353113506 hasRelatedWork W4234996786 @default.
- W4353113506 isParatext "false" @default.
- W4353113506 isRetracted "false" @default.
- W4353113506 workType "article" @default.