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Book sections
Sums of the digits in bases 2 and 3
Abstract : Let b ≥ 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n ≤ N : |s 3 (n) − s 2 (n)| ≤ 0.1457205 log n} > N 0.970359. The proof only uses the separate (or marginal) distributions of the values of s 2 (n) and s 3 (n).
Keywords :
expansion in bases 2 and 3
sums of digits
Cited literature [6 references]
https://hal.archives-ouvertes.fr/hal-01401869
Contributor : Laurent Habsieger <>
Submitted on : Wednesday, November 23, 2016 - 9:18:04 PM
Last modification on : Wednesday, July 8, 2020 - 12:43:53 PM
Long-term archiving on: : Tuesday, March 21, 2017 - 4:56:08 AM
Contributor : Laurent Habsieger <>
Submitted on : Wednesday, November 23, 2016 - 9:18:04 PM
Last modification on : Wednesday, July 8, 2020 - 12:43:53 PM
Long-term archiving on: : Tuesday, March 21, 2017 - 4:56:08 AM
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