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Two congruences involving 4-cores. (English) Zbl 0857.05009
Electron. J. Comb. 3, No. 2, Research paper R10, 8 p. (1996); printed version J. Comb. 3, No. 2, 237-244 (1996).
Several papers have been recently published concerning the congruences of \(t\)-cores where \(t\) is prime. The goal of this paper is to prove two new congruences involving 4-cores using elementary techniques. These results suggest that 4-cores possess an interesting arithmetic structure.
Reviewer: R.Scurr (Dunedin)

05A17 Combinatorial aspects of partitions of integers
11P83 Partitions; congruences and congruential restrictions
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