Matches in SemOpenAlex for { <https://semopenalex.org/work/W3102592007> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W3102592007 abstract "Let $k$ be a positive integer and $m$ be an integer. Garvan's $k$-rank $N_k(m,n)$ is the number of partitions of $n$ into at least $(k-1)$ successive Durfee squares with $k$-rank equal to $m$. In this paper give some asymptotics for $N_k(m,n)$ with $|m|ge sqrt{n}$ as $nrightarrow infty$. As a corollary, we give a more complete answer for the Dyson's crank distribution conjecture. We also establish some asymptotic formulas for finite differences of $N_k(m,n)$ with respect to $m$ with $mgg sqrt{n}log n$." @default.
- W3102592007 created "2020-11-23" @default.
- W3102592007 creator A5032471055 @default.
- W3102592007 date "2019-03-18" @default.
- W3102592007 modified "2023-10-17" @default.
- W3102592007 title "On the distribution of rank and crank statistics for integer partitions" @default.
- W3102592007 cites W1034696416 @default.
- W3102592007 cites W1963759577 @default.
- W3102592007 cites W1988307509 @default.
- W3102592007 cites W1991107063 @default.
- W3102592007 cites W1999100412 @default.
- W3102592007 cites W2023497974 @default.
- W3102592007 cites W2063302961 @default.
- W3102592007 cites W2119971017 @default.
- W3102592007 cites W2158666873 @default.
- W3102592007 cites W2322555227 @default.
- W3102592007 cites W2962764084 @default.
- W3102592007 cites W2964280793 @default.
- W3102592007 doi "https://doi.org/10.1007/s40993-019-0156-z" @default.
- W3102592007 hasPublicationYear "2019" @default.
- W3102592007 type Work @default.
- W3102592007 sameAs 3102592007 @default.
- W3102592007 citedByCount "4" @default.
- W3102592007 countsByYear W31025920072019 @default.
- W3102592007 countsByYear W31025920072020 @default.
- W3102592007 countsByYear W31025920072021 @default.
- W3102592007 crossrefType "journal-article" @default.
- W3102592007 hasAuthorship W3102592007A5032471055 @default.
- W3102592007 hasBestOaLocation W31025920072 @default.
- W3102592007 hasConcept C105795698 @default.
- W3102592007 hasConcept C110121322 @default.
- W3102592007 hasConcept C114614502 @default.
- W3102592007 hasConcept C134306372 @default.
- W3102592007 hasConcept C164226766 @default.
- W3102592007 hasConcept C198994188 @default.
- W3102592007 hasConcept C199360897 @default.
- W3102592007 hasConcept C203311528 @default.
- W3102592007 hasConcept C2524010 @default.
- W3102592007 hasConcept C33923547 @default.
- W3102592007 hasConcept C41008148 @default.
- W3102592007 hasConcept C97137487 @default.
- W3102592007 hasConceptScore W3102592007C105795698 @default.
- W3102592007 hasConceptScore W3102592007C110121322 @default.
- W3102592007 hasConceptScore W3102592007C114614502 @default.
- W3102592007 hasConceptScore W3102592007C134306372 @default.
- W3102592007 hasConceptScore W3102592007C164226766 @default.
- W3102592007 hasConceptScore W3102592007C198994188 @default.
- W3102592007 hasConceptScore W3102592007C199360897 @default.
- W3102592007 hasConceptScore W3102592007C203311528 @default.
- W3102592007 hasConceptScore W3102592007C2524010 @default.
- W3102592007 hasConceptScore W3102592007C33923547 @default.
- W3102592007 hasConceptScore W3102592007C41008148 @default.
- W3102592007 hasConceptScore W3102592007C97137487 @default.
- W3102592007 hasLocation W31025920071 @default.
- W3102592007 hasLocation W31025920072 @default.
- W3102592007 hasOpenAccess W3102592007 @default.
- W3102592007 hasPrimaryLocation W31025920071 @default.
- W3102592007 hasRelatedWork W145753464 @default.
- W3102592007 hasRelatedWork W1501075251 @default.
- W3102592007 hasRelatedWork W168375575 @default.
- W3102592007 hasRelatedWork W2047316289 @default.
- W3102592007 hasRelatedWork W2057201689 @default.
- W3102592007 hasRelatedWork W2061486594 @default.
- W3102592007 hasRelatedWork W2070756261 @default.
- W3102592007 hasRelatedWork W2092977611 @default.
- W3102592007 hasRelatedWork W2522312390 @default.
- W3102592007 hasRelatedWork W2795448197 @default.
- W3102592007 hasRelatedWork W2915349979 @default.
- W3102592007 hasRelatedWork W2952430022 @default.
- W3102592007 hasRelatedWork W2963160587 @default.
- W3102592007 hasRelatedWork W3006220891 @default.
- W3102592007 hasRelatedWork W3013883023 @default.
- W3102592007 hasRelatedWork W3043035659 @default.
- W3102592007 hasRelatedWork W3100396808 @default.
- W3102592007 hasRelatedWork W3102592007 @default.
- W3102592007 hasRelatedWork W3191603432 @default.
- W3102592007 hasRelatedWork W3205956407 @default.
- W3102592007 isParatext "false" @default.
- W3102592007 isRetracted "false" @default.
- W3102592007 magId "3102592007" @default.
- W3102592007 workType "article" @default.