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Some congruences for 3-component multipartitions

Some congruences for 3-component multipartitions

Abstract Let p 3( n ) denote the number of 3-component multipartitions of n . Recently, using a 3-dissection formula for the generating function of p 3( n ), Baruah and Ojah proved that for n ≥ 0, p 3(9 n + 5) ≡ 0 (mod 3 3 ) and …