Polygonal numbers and Rogers–Ramanujan–Gordon theorem

Mircea Merca

Type: Article

Publication Date: 2020-06-16

Citations: 7

DOI: https://doi.org/10.1007/s11139-019-00242-0

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Locations

The Ramanujan Journal - View

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Action	Title	Year	Authors
+	6-regular partitions: new combinatorial properties, congruences, and linear inequalities	2023	Cristina Ballantine Mircea Merca
+	A reversal of Schur’s partition theorem	2022	Mircea Merca
+	Linear inequalities concerning the sum of the distinct parts congruent to <i>r</i> modulo <i>m</i> in all the partitions of <i>n</i>	2023	Mircea Merca
+ PDF Chat	4-regular partitions and the pod function	2023	Cristina Ballantine Mircea Merca
+	A further look at cubic partitions	2021	Mircea Merca
+ PDF Chat	Distinct partitions and overpartitions	2021	Mircea Merca
+	Rank partition functions and truncated theta identities	2021	Mircea Merca

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	On the remainders and convergence of the series for the partition function	1939	D. H. Lehmer
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman
+	A Combinatorial Generalization of the Rogers-Ramanujan Identities	1961	Basil Gordon
+ PDF Chat	On the series for the partition function	1938	D. H. Lehmer
+	An Analytic Proof of the Rogers-Ramanujan-Gordon Identities	1966	George E. Andrews
+ PDF Chat	Fast Algorithm for Generating Ascending Compositions	2011	Mircea Merca
+	The truncated pentagonal number theorem	2012	George E. Andrews Mircea Merca
+ PDF Chat	A Convergent Series for the Partition Function <i>p</i> ( <i>n</i> )	1937	Hans Rademacher
+ PDF Chat	Asymptotic Formulaae in Combinatory Analysis	1918	G. H. Hardy S. Ramanujan
+	The Theory of Partitions	1984	George E. Andrews