Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

New congruences for k-tuples t-core partitions

New congruences for k-tuples t-core partitions Let $$A_{t,k}(n)$$ A t , k ( n ) denote the number of partition k-tuples of n where each partition is t-core. In this paper, we prove some Ramanujan-type congruences for the partition function $$A_{t,k}(n)$$ A t , k ( n ) when $$(t,k)=(3,4)$$ ( t , k ) = ( 3 , 4 ) , (3,9), (4,8), (5, 6), (8, 4), (9, 3) and (9, 6) by employing q-series identities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

New congruences for k-tuples t-core partitions

The Journal of Analysis , Volume 26 (1) – Dec 19, 2017

Loading next page...
 
/lp/springer-journals/new-congruences-for-k-tuples-t-core-partitions-ibQcghwq0O
Publisher
Springer Journals
Copyright
Copyright © 2017 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-017-0065-2
Publisher site
See Article on Publisher Site

Abstract

Let $$A_{t,k}(n)$$ A t , k ( n ) denote the number of partition k-tuples of n where each partition is t-core. In this paper, we prove some Ramanujan-type congruences for the partition function $$A_{t,k}(n)$$ A t , k ( n ) when $$(t,k)=(3,4)$$ ( t , k ) = ( 3 , 4 ) , (3,9), (4,8), (5, 6), (8, 4), (9, 3) and (9, 6) by employing q-series identities.

Journal

The Journal of AnalysisSpringer Journals

Published: Dec 19, 2017

References