Stolarsky’s conjecture and the sum of digits of polynomial values

DOI10.1090/S0002-9939-2010-10591-9zbMath1233.11007arXiv1001.4169WikidataQ123333656 ScholiaQ123333656MaRDI QIDQ3082275

Kevin G. Hare, Thomas Stoll, Shanta Laishram

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4169

zbMATH Keywords

sum of digits functionpolynomial valuesStolarsky's conjecture

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Calculation of integer sequences (11Y55)

Related Items (10)

Products of integers with few nonzero digits ⋮ 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 ⋮ Thue-Morse at multiples of an integer ⋮ On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes ⋮ Sums of digits in q-ary expansions ⋮ On the binary digits of \(n\) and \(n^2\)

Cites Work

• The sum of digits of squares
• Theorems in the additive theory of numbers
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• On the binary digits of a power
• Distribution of the values of \(q\)-additive functions on polynomial sequences
• On simultaneous binary expansions of \(n\) and \(n^2\)
• THE SUM OF DIGITS OF n AND n²
• CONGRUENCES DE SOMMES DE CHIFFRES DE VALEURS POLYNOMIALES
• ON THE BITS COUNTING FUNCTION OF REAL NUMBERS
• The Binary Digits of a Power
• The summatory function of the sum-of-digits function on polynomial sequences
• Gaps in Integer Sequences
• The Sum-of-Digits Function of Squares

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