2005
On some conjectural inequalities and their consequences
Publication
Publication
We discuss some conjectural inequalities involving the sums sig_n(s) := 1^s + 2^s + ... + n^s. Two of our Conjectures assert that both a(s):=sig_(n+1)(s)/sig_n(s) and a(s)*sig_(n+1)(s)/sig_(n+2)(s) are strictly log-convex in s on all of the real axis. We will also present a common generalization of these two Conjectures. Various applications are described, to existing theorems as well as to some other unproven conjectures
| Additional Metadata | |
|---|---|
| CWI | |
| CWI. Probability, Networks and Algorithms [PNA] | |
| Organisation | Cryptology |
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van de Lune, J., & te Riele, H. (2005). On some conjectural inequalities and their consequences. CWI. Probability, Networks and Algorithms [PNA]. CWI. |
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