Abstract
AbstractThis paper is devoted to the study of sequences in overpartitions and their relation to 2-color partitions. An extensive study of a general class of double series is required to achieve these ends.
Funder
Austrian Science Fund
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Reference15 articles.
1. Ablinger, J., Uncu, A.K.: qFunctions—a mathematica package for $$q$$-series and partition theory applications. J. Symb. Comput. 107, 145–166 (2021)
2. Andrews, G.E.: The Theory of Partitions, Cambridge Mathematical Library, Cambridge University Press, Cambridge (1998). Reprint of the original. MR1634067 (99c:11126) (1976)
3. Andrews, G.E.: Partitions with short sequences and mock theta functions. Proc. Nat. Acad. Sci. 102(13), 4666–4671 (2005)
4. Andrews, G.E.: Sequences in Partitions, Double $$q$$-Series, and the Mock Theta Functions $$\rho _3(q)$$, from Algorithmic Combinatorics-Enumerative Combinatorics, Special Functions and Computer Algebra, pp. 25–46. Springer, Cham (2020)
5. Andrews, G.E., Berndt, B.C., Jacobsen, L., Lampede, R.L.: The continued fractions found in the unorganized portions of Ramanujan’s notebooks. Mem. Am. Math. Soc. 99(477) (1992)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献