On the sum of squares of the middle-third Cantor set
نویسندگان
چکیده
Let C be the middle-third Cantor set. In this paper, we show that for every x∈[0,4], there exist x1,x2,x3,x4∈C such x=x12+x22+x32+x42, which was conjectured in Athreya et al. (2019) [1].
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2020.07.011