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Congruence Modulo 4 for Andrews' Even Parts Below Odd Parts Partition Function.

Authors :
Chen, Dandan
Chen, Rong
Source :
Annals of Combinatorics. Jun2023, Vol. 27 Issue 2, p269-279. 11p.
Publication Year :
2023

Abstract

We find and prove a class of congruences modulo 4 for Andrews' partition with certain ternary quadratic form. We also discuss distribution of E O ¯ (n) and further prove that E O ¯ (n) ≡ 0 (mod 4) for almost all n. This study was inspired by similar congruences modulo 4 in the work by the second author and Garvan. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PARTITION functions
*GEOMETRIC congruences
*TERNARY forms
*QUADRATIC forms

Details

Language :
English
ISSN :
02180006
Volume :
27
Issue :
2
Database :
Academic Search Index
Journal :
Annals of Combinatorics
Publication Type :
Academic Journal
Accession number :
164228029
Full Text :
https://doi.org/10.1007/s00026-023-00645-3
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