Representation of positive integers by the form $x_1...x_k + x_1 + ... + x_k$
Abstract
For an arbitrary given $k\geq3,$ we consider a possibility of representation of a positive number $n$ by the form $x_1...x_k+x_1+...+x_k, 1\leq x_1\leq ... \leq x_k.$ We also study a question on the smallest value of $k\geq3$ in such a representation.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2015
- DOI:
- 10.48550/arXiv.1508.03970
- arXiv:
- arXiv:1508.03970
- Bibcode:
- 2015arXiv150803970S
- Keywords:
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- Mathematics - Number Theory;
- 11N32
- E-Print:
- Addition p=97 in Section 5