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On sums of two Fibona cci numbers that are powers of numbers with limited Hamming weight

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Representing an integer and its powers in two unrelated number systems

math.NT · 2025-02-01 · unverdicted · novelty 6.0

Effective upper bounds for y^a in the equation y^a equals sum of convergent denominators to quadratic irrational alpha are obtained from Hamming weights in radix and Zeckendorf representations, extending Vukusic-Ziegler and yielding an analogue of Kebli-Kihel-Larone-Luca.

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  • Representing an integer and its powers in two unrelated number systems math.NT · 2025-02-01 · unverdicted · none · ref 19

    Effective upper bounds for y^a in the equation y^a equals sum of convergent denominators to quadratic irrational alpha are obtained from Hamming weights in radix and Zeckendorf representations, extending Vukusic-Ziegler and yielding an analogue of Kebli-Kihel-Larone-Luca.