Collisions of digit sums in bases 2 and 3
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In: Israel journal of mathematics, Vol. 258.2023, No. December, 13.03.2023, p. 475–502.
Research output: Contribution to journal › Article › Research › peer-review
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TY - JOUR
T1 - Collisions of digit sums in bases 2 and 3
AU - Spiegelhofer, Lukas
PY - 2023/3/13
Y1 - 2023/3/13
N2 - We prove a folklore conjecture concerning the sum-of-digits functions in bases two and three: there are infinitely many positive integers n such that the sum of the binary digits of n equals the sum of the ternary digits of n.
AB - We prove a folklore conjecture concerning the sum-of-digits functions in bases two and three: there are infinitely many positive integers n such that the sum of the binary digits of n equals the sum of the ternary digits of n.
KW - sum-of-digits function
KW - digital expansions in different bases
UR - https://link.springer.com/article/10.1007/s11856-023-2478-8
U2 - 10.1007/s11856-023-2478-8
DO - 10.1007/s11856-023-2478-8
M3 - Article
VL - 258.2023
SP - 475
EP - 502
JO - Israel journal of mathematics
JF - Israel journal of mathematics
SN - 0021-2172
IS - December
ER -
