The Binary Digits of a Power

DOI10.2307/2042203zbMath0391.10011OpenAlexW4245717272MaRDI QIDQ4172116

Kenneth B. Stolarsky

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042203

zbMATH Keywords

Binary ExpansionDigital DistributionDigital PropertiesPowers Of Integers

Mathematics Subject Classification ID

Radix representation; digital problems (11A63)

Related Items

Products of integers with few nonzero digits ⋮ On the binary digits of a power ⋮ Squares with Three Nonzero Digits ⋮ Combinatorial constructions for the Zeckendorf sum of digits of polynomial values ⋮ On simultaneous digital expansions of polynomial values ⋮ The sum of digits of polynomial values in arithmetic progressions ⋮ On a second conjecture of Stolarsky: the sum of digits of polynomial values ⋮ ON THE BITS COUNTING FUNCTION OF REAL NUMBERS ⋮ On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes ⋮ Stolarsky’s conjecture and the sum of digits of polynomial values ⋮ On simultaneous binary expansions of \(n\) and \(n^2\) ⋮ On the binary digits of \(n\) and \(n^2\)

Cites Work

• Theorems in the additive theory of numbers
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• The asymptotic distribution of the numerals in the decimal representation of the squares of the natural numbers
• Integers whose multiples have anomalous digital frequencies
• On some properties of the dyadic Champernowne numbers
• Binary Digit Distribution over Naturally Defined Sequences
• Power and Exponential Sums of Digital Sums Related to Binomial Coefficient Parity
• Note on Normal Decimals
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