FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2647354242> ?p ?o ?g. }

• W2647354242 abstract "In recent work, Hickerson and Mortenson introduced a dual notion between Appell–Lerch sums and partial theta functions. In this sense, Appell–Lerch sums and partial theta functions appear to be dual to each other. In this paper, by making the substitution [Formula: see text] in the tail of the associated bilateral series of mock theta functions and universal mock theta functions, we demonstrate how to obtain duals of the second type in terms of Appell–Lerch sums defined by Mortenson for such functions. Then by using the substitution [Formula: see text] in duals of the second type of each bilateral series, we present how to translate between identities expressing [Formula: see text]-hypergeometric series in terms of Appell–Lerch sums and identities expressing [Formula: see text]-hypergeometric series in terms of partial theta functions. Indeed, we obtain only four duals in terms of partial theta functions of duals of the second type in terms of Appell–Lerch sums of bilateral series associated to mock theta functions. As an application, we construct Ramanujan radial limits by using these bilateral series with mock modular behavior in terms of Appell–Lerch sums for some order mock theta functions. This method is well-suited for the other order mock theta functions." @default.
• W2647354242 created "2017-06-30" @default.
• W2647354242 creator A5020641535 @default.
• W2647354242 date "2017-11-21" @default.
• W2647354242 modified "2023-09-27" @default.
• W2647354242 title "On the dual nature theory of bilateral series associated to mock theta functions" @default.
• W2647354242 cites W1968890236 @default.
• W2647354242 cites W1984407000 @default.
• W2647354242 cites W2008052995 @default.
• W2647354242 cites W2018702641 @default.
• W2647354242 cites W2027635998 @default.
• W2647354242 cites W2062344237 @default.
• W2647354242 cites W2081484254 @default.
• W2647354242 cites W2103785415 @default.
• W2647354242 cites W2161965817 @default.
• W2647354242 cites W3102484505 @default.
• W2647354242 cites W3105705125 @default.
• W2647354242 cites W3105973185 @default.
• W2647354242 cites W33801083 @default.
• W2647354242 cites W4210846395 @default.
• W2647354242 cites W4230444854 @default.
• W2647354242 cites W4231036901 @default.
• W2647354242 cites W4237034871 @default.
• W2647354242 cites W4292024793 @default.
• W2647354242 doi "https://doi.org/10.1142/s1793042118500069" @default.
• W2647354242 hasPublicationYear "2017" @default.
• W2647354242 type Work @default.
• W2647354242 sameAs 2647354242 @default.
• W2647354242 citedByCount "2" @default.
• W2647354242 countsByYear W26473542422018 @default.
• W2647354242 countsByYear W26473542422019 @default.
• W2647354242 crossrefType "journal-article" @default.
• W2647354242 hasAuthorship W2647354242A5020641535 @default.
• W2647354242 hasConcept C105313907 @default.
• W2647354242 hasConcept C105546189 @default.
• W2647354242 hasConcept C122343491 @default.
• W2647354242 hasConcept C124952713 @default.
• W2647354242 hasConcept C131220774 @default.
• W2647354242 hasConcept C136119220 @default.
• W2647354242 hasConcept C142362112 @default.
• W2647354242 hasConcept C143724316 @default.
• W2647354242 hasConcept C151730666 @default.
• W2647354242 hasConcept C158241908 @default.
• W2647354242 hasConcept C165175332 @default.
• W2647354242 hasConcept C181881257 @default.
• W2647354242 hasConcept C182078607 @default.
• W2647354242 hasConcept C18903297 @default.
• W2647354242 hasConcept C197320386 @default.
• W2647354242 hasConcept C202444582 @default.
• W2647354242 hasConcept C2777299769 @default.
• W2647354242 hasConcept C2780980858 @default.
• W2647354242 hasConcept C33923547 @default.
• W2647354242 hasConcept C75764964 @default.
• W2647354242 hasConcept C86803240 @default.
• W2647354242 hasConcept C92941272 @default.
• W2647354242 hasConcept C94047428 @default.
• W2647354242 hasConceptScore W2647354242C105313907 @default.
• W2647354242 hasConceptScore W2647354242C105546189 @default.
• W2647354242 hasConceptScore W2647354242C122343491 @default.
• W2647354242 hasConceptScore W2647354242C124952713 @default.
• W2647354242 hasConceptScore W2647354242C131220774 @default.
• W2647354242 hasConceptScore W2647354242C136119220 @default.
• W2647354242 hasConceptScore W2647354242C142362112 @default.
• W2647354242 hasConceptScore W2647354242C143724316 @default.
• W2647354242 hasConceptScore W2647354242C151730666 @default.
• W2647354242 hasConceptScore W2647354242C158241908 @default.
• W2647354242 hasConceptScore W2647354242C165175332 @default.
• W2647354242 hasConceptScore W2647354242C181881257 @default.
• W2647354242 hasConceptScore W2647354242C182078607 @default.
• W2647354242 hasConceptScore W2647354242C18903297 @default.
• W2647354242 hasConceptScore W2647354242C197320386 @default.
• W2647354242 hasConceptScore W2647354242C202444582 @default.
• W2647354242 hasConceptScore W2647354242C2777299769 @default.
• W2647354242 hasConceptScore W2647354242C2780980858 @default.
• W2647354242 hasConceptScore W2647354242C33923547 @default.
• W2647354242 hasConceptScore W2647354242C75764964 @default.
• W2647354242 hasConceptScore W2647354242C86803240 @default.
• W2647354242 hasConceptScore W2647354242C92941272 @default.
• W2647354242 hasConceptScore W2647354242C94047428 @default.
• W2647354242 hasLocation W26473542421 @default.
• W2647354242 hasOpenAccess W2647354242 @default.
• W2647354242 hasPrimaryLocation W26473542421 @default.
• W2647354242 hasRelatedWork W126930719 @default.
• W2647354242 hasRelatedWork W2052751405 @default.
• W2647354242 hasRelatedWork W2069372081 @default.
• W2647354242 hasRelatedWork W2239370221 @default.
• W2647354242 hasRelatedWork W2377545568 @default.
• W2647354242 hasRelatedWork W2478195621 @default.
• W2647354242 hasRelatedWork W2521829747 @default.
• W2647354242 hasRelatedWork W2736232048 @default.
• W2647354242 hasRelatedWork W2760500918 @default.
• W2647354242 hasRelatedWork W2889916390 @default.
• W2647354242 hasRelatedWork W2919644801 @default.
• W2647354242 hasRelatedWork W2943551300 @default.
• W2647354242 hasRelatedWork W2948380614 @default.
• W2647354242 hasRelatedWork W2955761294 @default.
• W2647354242 hasRelatedWork W2957056659 @default.
• W2647354242 hasRelatedWork W2971113795 @default.
• W2647354242 hasRelatedWork W2992910744 @default.
• W2647354242 hasRelatedWork W3035427075 @default.

• next