IJPAM: Volume 104, No. 4 (2015)
Department of Mathematical Sciences
Kokrajhar, 783370, Assam, INDIA
Abstract. If is a prime with is a quadratic non-residue modulo then for any non-negative integers -core partitions of satisfy several interesting results, for example
where and denotes the number of -cores of .
Received: June 16, 2015
AMS Subject Classification:
Key Words and Phrases: -core partition, theta function, dissection, congruence
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DOI: 10.12732/ijpam.v104i4.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 551 - 559
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