The truncated pentagonal number theorem

George E. Andrews; Mircea Merca

doi:10.1016/j.jcta.2012.05.001

The truncated pentagonal number theorem

George E. Andrews
, Mircea Merca

Mathematics

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

Abstract

A new expansion is given for partial sums of Euler's pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).

Original language	English (US)
Pages (from-to)	1639-1643
Number of pages	5
Journal	Journal of Combinatorial Theory. Series A
Volume	119
Issue number	8
DOIs	https://doi.org/10.1016/j.jcta.2012.05.001
State	Published - Nov 2012

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/j.jcta.2012.05.001

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@article{75df57562c614ad7a314981568d7c69b,

title = "The truncated pentagonal number theorem",

abstract = "A new expansion is given for partial sums of Euler's pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).",

author = "Andrews, \{George E.\} and Mircea Merca",

note = "Funding Information: E-mail address: [email protected] (G.E. Andrews). 1 The first author is partially supported by National Security Agency Grant H98230-12-1-0205.",

year = "2012",

month = nov,

doi = "10.1016/j.jcta.2012.05.001",

language = "English (US)",

volume = "119",

pages = "1639--1643",

journal = "Journal of Combinatorial Theory. Series A",

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publisher = "Academic Press Inc.",

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AU - Andrews, George E.

AU - Merca, Mircea

N1 - Funding Information: E-mail address: [email protected] (G.E. Andrews). 1 The first author is partially supported by National Security Agency Grant H98230-12-1-0205.

PY - 2012/11

Y1 - 2012/11

N2 - A new expansion is given for partial sums of Euler's pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).

AB - A new expansion is given for partial sums of Euler's pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).

UR - https://www.scopus.com/pages/publications/84861414403

UR - https://www.scopus.com/pages/publications/84861414403#tab=citedBy

U2 - 10.1016/j.jcta.2012.05.001

DO - 10.1016/j.jcta.2012.05.001

M3 - Article

AN - SCOPUS:84861414403

SN - 0097-3165

VL - 119

SP - 1639

EP - 1643

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

IS - 8

ER -

The truncated pentagonal number theorem

Abstract

All Science Journal Classification (ASJC) codes

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