Linear inequalities concerning partitions into distinct parts
Linear inequalities involving Euler’s partition function p ( n ) have been the subject of recent studies. In this article, we consider the partition function Q ( n ) counting the partitions of n into distinct parts. Using truncated theta series, we provide four infinite families of linear inequaliti...
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| Vydané v: | The Ramanujan journal Ročník 58; číslo 2; s. 491 - 503 |
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| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
New York
Springer US
01.06.2022
Springer Nature B.V |
| Predmet: | |
| ISSN: | 1382-4090, 1572-9303 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | Linear inequalities involving Euler’s partition function
p
(
n
) have been the subject of recent studies. In this article, we consider the partition function
Q
(
n
) counting the partitions of
n
into distinct parts. Using truncated theta series, we provide four infinite families of linear inequalities for
Q
(
n
) and partition theoretic interpretations for these results. |
|---|---|
| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1382-4090 1572-9303 |
| DOI: | 10.1007/s11139-021-00427-6 |