Remark on factorials that are products of factorials
Data(s) |
01/10/2010
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Resumo |
In a paper published in 1993, Erdos proved that if n! = a! b!, where 1 < a a parts per thousand currency sign b, then the difference between n and b does not exceed 5 log log n for large enough n. In the present paper, we improve this upper bound to ((1 + epsilon)/ log 2) log log n and generalize it to the equation a (1)!a (2)! ... a (k) ! = n!. In a recent paper, F. Luca proved that n - b = 1 for large enough n provided that the ABC-hypothesis holds. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/34448/1/Remark.pdf Bhat, KG and Ramachandran, K (2010) Remark on factorials that are products of factorials. In: Mathematical Notes, 88 (3-4). pp. 317-320. |
Publicador |
Springer |
Relação |
http://www.springerlink.com/content/511hx5t27p11101j/ http://eprints.iisc.ernet.in/34448/ |
Palavras-Chave | #Others |
Tipo |
Journal Article PeerReviewed |