Integer dynamics

DOI10.1142/S1793042122500245zbMath1490.11014arXiv2105.14361OpenAlexW4205580987MaRDI QIDQ5061568

Makoto Suwama, Arvind Suresh, Haiyang Wang, Mentzelos Melistas, Dino J. Lorenzini

Publication date: 14 March 2022

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

Full work available at URL: https://arxiv.org/abs/2105.14361

zbMATH Keywords

cycleorbitintegral point\(b\)-ary expansionhappy numbersquare digit sum

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Radix representation; digital problems (11A63) Arithmetic progressions (11B25)

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Uses Software

• Magma
• OEIS

Cites Work

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• The Magma algebra system. I: The user language
• Sums of Functions of Digits
• On the Classification of Cubic Surfaces
• On Bases and Cycles
• Almost-primes represented by quadratic polynomials
• Almost-primes represented by quadratic polynomials