Inequalities for the dth residual crank moments of overpartitions

Autor:	Thomas Morrill, Holly Swisher, Ali H. Al-Saedi
Rok vydání:	2020
Předmět:	Combinatorics Crank Algebra and Number Theory Integer 010201 computation theory & mathematics 010102 general mathematics 0102 computer and information sciences Function (mathematics) 0101 mathematics Residual 01 natural sciences Mathematics
Zdroj:	International Journal of Number Theory. 16:1599-1606
ISSN:	1793-7310 1793-0421
DOI:	10.1142/s1793042120500840
Popis:	In 2009, Bringmann, Lovejoy and Osburn defined two analogues of the crank function for overpartitions, namely the first residual crank and second residual crank. For a positive integer [Formula: see text], we introduce the notion of a [Formula: see text]th residual crank function for overpartitions, examine the positive moments of these generalized crank functions while varying [Formula: see text], and prove some inequalities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a360220abfcb10f7d990ca1b8d45713b https://doi.org/10.1142/s1793042120500840 Zobrazit plný text záznamu