TL;DR
This paper confirms Sun's conjecture regarding the base-$m$ expansion properties of the number \\frac{n(m^k-1)}{m-1}.
Contribution
It provides a proof confirming Sun's conjecture about the expansion of specific numbers in base $m$, advancing understanding of number representations.
Findings
Confirmed Sun's conjecture on base $m$ expansions.
Established new properties of number representations in base $m$.
Enhanced theoretical understanding of number expansion patterns.
Abstract
We confirm a conjecture of Sun on the expansions of in base .
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Taxonomy
TopicsAdvanced Mathematical Theories · Historical Astronomy and Related Studies · Religion and Sociopolitical Dynamics in Nigeria