On a problem of Erdős and Graham concerning digits
Multi-parametric extensions of Newman's phenomenon.
On a conjecture of Dekking : The sum of digits of even numbers
Let and denote by the sum-of-digits function in base . For consider In 1983, F. M. Dekking conjectured that this quantity is greater than and, respectively, less than for infinitely many , thereby claiming an absence of a drift (or Newman) phenomenon. In this paper we prove his conjecture.
On the total weight of weighted matchings of segment graphs.
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