A summation formula involving Fibonacci digits

DOI10.1016/0022-314X(86)90065-XzbMath0578.10010MaRDI QIDQ1066172

Jean Coquet, Pascal van den Bosch

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Fibonacciasymptotic formulaFibonacci numberssummation formulasum of digitsdigitsFibonacci expansion of integers

Mathematics Subject Classification ID

Recurrences (11B37) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items

On digit expansions with respect to linear recurrences ⋮ Combinatorial constructions for the Zeckendorf sum of digits of polynomial values ⋮ Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated ⋮ Contributions to digit expansions with respect to linear recurrences ⋮ Digital sum problems and substitutions on a finite alphabet

Cites Work

• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• An Explicit Expression for Binary Digital Sums
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