Geodesic
Smooth numbers with few nonzero binary digits
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 74-89

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DOI

We use bounds of character sums and some combinatorial arguments to show the abundance of very smooth numbers which also have very few nonzero binary digits.
DOI : 10.4153/S0008439523000504
Mots-clés : Smooth integers, sparse binary representations, character sums 
Hauck, Maximilian; Shparlinski, Igor E. Smooth numbers with few nonzero binary digits. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 74-89. doi: 10.4153/S0008439523000504
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     title = {Smooth numbers with few nonzero binary digits},
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     pages = {74--89},
     year = {2024},
     volume = {67},
     number = {1},
     doi = {10.4153/S0008439523000504},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000504/}
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