Bhat, Kishor G and Ramachandra, K (2010) Remark on factorials that are products of factorials. Math Notes, 88. pp. 317-320.
Full text not available from this repository.| Contribution | Name |
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| Abstract: | In a paper published in 1993, Erdös proved that if n! = a! b!, where 1 < a ≤ 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 + ε)/ 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. |
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| Item Type: | Journal Paper |
| Keywords: | factorial product of factorials, Stirling’s formula, prime factor |
| Subjects: | School of Natural and Engineering Sciences > Mathematics Doctoral Programme > PhD Scholar Publications |
| Date Deposited: | 22 Apr 2021 17:27 |
| Last Modified: | 29 Apr 2021 16:51 |
| Official URL: | https://link.springer.com/article/10.1134/S0001434... |
| Related URLs: | |
| Funders: | UNSPECIFIED |
| Projects: | UNSPECIFIED |
| DOI: | https://doi.org/10.1134/S0001434610090038 |
| URI: | http://eprints.nias.res.in/id/eprint/2087 |
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