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...

Full description

Saved in:
Bibliographic Details
Published inThe Ramanujan journal Vol. 58; no. 2; pp. 491 - 503
Main Author Merca, Mircea
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2022
Springer Nature B.V
Subjects
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Inequalities
Linear functions
Mathematics
Mathematics and Statistics
Number Theory
Partitions (mathematics)
11P81
Partitions
11P83
Theta series
Inequalities
Recurrences
05A17
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography: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