JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 2, Pages 247 - 255
(August 2005)
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BIJECTIVE PROOF OF THE NEW PARTITION IDENTITY
Padmavathamma (India), B. M. Chandrashekara (India) and R. Raghavendra (India)
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Abstract: In this paper we give a bijective proof of the new identity B4,2,2(n), where counts the number of partitions of n subject to certain restrictions on their parts (too long to be stated in the abstract) and B4,2,2(n) counts the number of partitions of n = b1 + ×¼span style="mso-char-type:symbol;mso-symbol-font-family:Symbol">×— + bs into distinct parts with parts ? 2, 3 and bi ? bi+1 ? 5 with strict inequality if bi is a multiple of 5. |
Keywords and phrases: integer partitions, bijective proof. |
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