Matches in SemOpenAlex for { <https://semopenalex.org/work/W3205817363> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W3205817363 abstract "We prove an exact formula for the variance of the divisor function over short intervals in $mathbb{F}_p [T]$, where $p$ is a prime integer. We use exponential sums to translate the problem to one involving the ranks of Hankel matrices over finite fields. We prove several results regarding the rank and kernel structure of these matrices, and thus demonstrate their number-theoretic properties. We briefly discuss extending our method to moments higher than the second (the variance); to the $k$-th divisor function; to correlations of the divisor function with applications to moments of Dirichlet $L$-functions in function fields; and to the analogous results over $mathbb{F}_q [T]$, where $q$ is a prime power." @default.
- W3205817363 created "2021-10-25" @default.
- W3205817363 creator A5077956769 @default.
- W3205817363 date "2021-10-12" @default.
- W3205817363 modified "2023-09-27" @default.
- W3205817363 title "The Variance of the Divisor Function in $mathbb{F}_p [T]$ and Hankel Matrices" @default.
- W3205817363 cites W1504797307 @default.
- W3205817363 cites W1576379795 @default.
- W3205817363 cites W1994897457 @default.
- W3205817363 cites W1995160613 @default.
- W3205817363 cites W2050231363 @default.
- W3205817363 cites W2056236392 @default.
- W3205817363 cites W2070271345 @default.
- W3205817363 cites W2074881723 @default.
- W3205817363 cites W2135545673 @default.
- W3205817363 cites W2151771722 @default.
- W3205817363 cites W2394035744 @default.
- W3205817363 cites W2963524379 @default.
- W3205817363 cites W2963776535 @default.
- W3205817363 cites W2964090277 @default.
- W3205817363 cites W3100529919 @default.
- W3205817363 hasPublicationYear "2021" @default.
- W3205817363 type Work @default.
- W3205817363 sameAs 3205817363 @default.
- W3205817363 citedByCount "0" @default.
- W3205817363 crossrefType "posted-content" @default.
- W3205817363 hasAuthorship W3205817363A5077956769 @default.
- W3205817363 hasConcept C114614502 @default.
- W3205817363 hasConcept C118615104 @default.
- W3205817363 hasConcept C134306372 @default.
- W3205817363 hasConcept C14036430 @default.
- W3205817363 hasConcept C151376022 @default.
- W3205817363 hasConcept C164226766 @default.
- W3205817363 hasConcept C174072685 @default.
- W3205817363 hasConcept C184992742 @default.
- W3205817363 hasConcept C199360897 @default.
- W3205817363 hasConcept C203492994 @default.
- W3205817363 hasConcept C23230895 @default.
- W3205817363 hasConcept C30860621 @default.
- W3205817363 hasConcept C33923547 @default.
- W3205817363 hasConcept C41008148 @default.
- W3205817363 hasConcept C67056277 @default.
- W3205817363 hasConcept C78458016 @default.
- W3205817363 hasConcept C86803240 @default.
- W3205817363 hasConcept C9555016 @default.
- W3205817363 hasConcept C97137487 @default.
- W3205817363 hasConceptScore W3205817363C114614502 @default.
- W3205817363 hasConceptScore W3205817363C118615104 @default.
- W3205817363 hasConceptScore W3205817363C134306372 @default.
- W3205817363 hasConceptScore W3205817363C14036430 @default.
- W3205817363 hasConceptScore W3205817363C151376022 @default.
- W3205817363 hasConceptScore W3205817363C164226766 @default.
- W3205817363 hasConceptScore W3205817363C174072685 @default.
- W3205817363 hasConceptScore W3205817363C184992742 @default.
- W3205817363 hasConceptScore W3205817363C199360897 @default.
- W3205817363 hasConceptScore W3205817363C203492994 @default.
- W3205817363 hasConceptScore W3205817363C23230895 @default.
- W3205817363 hasConceptScore W3205817363C30860621 @default.
- W3205817363 hasConceptScore W3205817363C33923547 @default.
- W3205817363 hasConceptScore W3205817363C41008148 @default.
- W3205817363 hasConceptScore W3205817363C67056277 @default.
- W3205817363 hasConceptScore W3205817363C78458016 @default.
- W3205817363 hasConceptScore W3205817363C86803240 @default.
- W3205817363 hasConceptScore W3205817363C9555016 @default.
- W3205817363 hasConceptScore W3205817363C97137487 @default.
- W3205817363 hasLocation W32058173631 @default.
- W3205817363 hasOpenAccess W3205817363 @default.
- W3205817363 hasPrimaryLocation W32058173631 @default.
- W3205817363 hasRelatedWork W1761371075 @default.
- W3205817363 hasRelatedWork W1832050587 @default.
- W3205817363 hasRelatedWork W193989802 @default.
- W3205817363 hasRelatedWork W1963990605 @default.
- W3205817363 hasRelatedWork W1987133873 @default.
- W3205817363 hasRelatedWork W2805336665 @default.
- W3205817363 hasRelatedWork W2886485154 @default.
- W3205817363 hasRelatedWork W2891842884 @default.
- W3205817363 hasRelatedWork W2899984794 @default.
- W3205817363 hasRelatedWork W2918170208 @default.
- W3205817363 hasRelatedWork W2946044024 @default.
- W3205817363 hasRelatedWork W2963745718 @default.
- W3205817363 hasRelatedWork W2984220964 @default.
- W3205817363 hasRelatedWork W3139234398 @default.
- W3205817363 hasRelatedWork W3164711648 @default.
- W3205817363 hasRelatedWork W3208033647 @default.
- W3205817363 hasRelatedWork W759629537 @default.
- W3205817363 hasRelatedWork W3104219226 @default.
- W3205817363 isParatext "false" @default.
- W3205817363 isRetracted "false" @default.
- W3205817363 magId "3205817363" @default.
- W3205817363 workType "article" @default.