Matches in SemOpenAlex for { <https://semopenalex.org/work/W3108187610> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W3108187610 abstract "Motivated by the study of integer partitions, we consider partitions of integers into fractions of a particular form, namely with constant denominators and distinct odd or even numerators. When numerators are odd, the numbers of partitions for integers smaller than the denominator form symmetric patterns. If the number of terms is restricted to $h$, then the nonzero terms of the generating function are unimodal, with the integer $h$ having the most partitions. Such properties can be applied to a particular class of nonlinear Diophantine equations. We also examine partitions with even numerators. We prove that there are $2^{omega(t)}-2$ partitions of an integer $t$ into fractions with the first $x$ consecutive even integers for numerators and equal denominators of $y$, where $0<y<x<t$. We then use this to produce corollaries such as a Dirichlet series identity and an extension of the prime omega function to the complex plane, though this extension is not analytic everywhere." @default.
- W3108187610 created "2020-12-07" @default.
- W3108187610 creator A5055367678 @default.
- W3108187610 creator A5069921539 @default.
- W3108187610 date "2020-11-30" @default.
- W3108187610 modified "2023-09-27" @default.
- W3108187610 title "Counting Restricted Partitions of Integers into Fractions: Symmetry and Modes of the Generating Function and a Connection to $omega(t)$" @default.
- W3108187610 cites W2003315467 @default.
- W3108187610 cites W2013410955 @default.
- W3108187610 cites W2016499826 @default.
- W3108187610 cites W2082899356 @default.
- W3108187610 cites W2107308446 @default.
- W3108187610 cites W2333976070 @default.
- W3108187610 cites W2480144077 @default.
- W3108187610 cites W2560768522 @default.
- W3108187610 cites W3013571091 @default.
- W3108187610 hasPublicationYear "2020" @default.
- W3108187610 type Work @default.
- W3108187610 sameAs 3108187610 @default.
- W3108187610 citedByCount "0" @default.
- W3108187610 crossrefType "posted-content" @default.
- W3108187610 hasAuthorship W3108187610A5055367678 @default.
- W3108187610 hasAuthorship W3108187610A5069921539 @default.
- W3108187610 hasConcept C114614502 @default.
- W3108187610 hasConcept C118615104 @default.
- W3108187610 hasConcept C121332964 @default.
- W3108187610 hasConcept C13355873 @default.
- W3108187610 hasConcept C14036430 @default.
- W3108187610 hasConcept C169654258 @default.
- W3108187610 hasConcept C199360897 @default.
- W3108187610 hasConcept C204911207 @default.
- W3108187610 hasConcept C206530611 @default.
- W3108187610 hasConcept C2524010 @default.
- W3108187610 hasConcept C2777027219 @default.
- W3108187610 hasConcept C2778029271 @default.
- W3108187610 hasConcept C2779557605 @default.
- W3108187610 hasConcept C33923547 @default.
- W3108187610 hasConcept C41008148 @default.
- W3108187610 hasConcept C46875033 @default.
- W3108187610 hasConcept C62520636 @default.
- W3108187610 hasConcept C78458016 @default.
- W3108187610 hasConcept C86803240 @default.
- W3108187610 hasConcept C97137487 @default.
- W3108187610 hasConceptScore W3108187610C114614502 @default.
- W3108187610 hasConceptScore W3108187610C118615104 @default.
- W3108187610 hasConceptScore W3108187610C121332964 @default.
- W3108187610 hasConceptScore W3108187610C13355873 @default.
- W3108187610 hasConceptScore W3108187610C14036430 @default.
- W3108187610 hasConceptScore W3108187610C169654258 @default.
- W3108187610 hasConceptScore W3108187610C199360897 @default.
- W3108187610 hasConceptScore W3108187610C204911207 @default.
- W3108187610 hasConceptScore W3108187610C206530611 @default.
- W3108187610 hasConceptScore W3108187610C2524010 @default.
- W3108187610 hasConceptScore W3108187610C2777027219 @default.
- W3108187610 hasConceptScore W3108187610C2778029271 @default.
- W3108187610 hasConceptScore W3108187610C2779557605 @default.
- W3108187610 hasConceptScore W3108187610C33923547 @default.
- W3108187610 hasConceptScore W3108187610C41008148 @default.
- W3108187610 hasConceptScore W3108187610C46875033 @default.
- W3108187610 hasConceptScore W3108187610C62520636 @default.
- W3108187610 hasConceptScore W3108187610C78458016 @default.
- W3108187610 hasConceptScore W3108187610C86803240 @default.
- W3108187610 hasConceptScore W3108187610C97137487 @default.
- W3108187610 hasLocation W31081876101 @default.
- W3108187610 hasOpenAccess W3108187610 @default.
- W3108187610 hasPrimaryLocation W31081876101 @default.
- W3108187610 hasRelatedWork W1613328819 @default.
- W3108187610 hasRelatedWork W1970597690 @default.
- W3108187610 hasRelatedWork W2026048562 @default.
- W3108187610 hasRelatedWork W2068296851 @default.
- W3108187610 hasRelatedWork W2071662545 @default.
- W3108187610 hasRelatedWork W2092589595 @default.
- W3108187610 hasRelatedWork W2112201978 @default.
- W3108187610 hasRelatedWork W2114015444 @default.
- W3108187610 hasRelatedWork W2143704683 @default.
- W3108187610 hasRelatedWork W2148237358 @default.
- W3108187610 hasRelatedWork W2164741598 @default.
- W3108187610 hasRelatedWork W2255561693 @default.
- W3108187610 hasRelatedWork W2321681802 @default.
- W3108187610 hasRelatedWork W2356420504 @default.
- W3108187610 hasRelatedWork W2783375005 @default.
- W3108187610 hasRelatedWork W2884263500 @default.
- W3108187610 hasRelatedWork W3028574858 @default.
- W3108187610 hasRelatedWork W3081222117 @default.
- W3108187610 hasRelatedWork W3120707633 @default.
- W3108187610 hasRelatedWork W791386007 @default.
- W3108187610 isParatext "false" @default.
- W3108187610 isRetracted "false" @default.
- W3108187610 magId "3108187610" @default.
- W3108187610 workType "article" @default.