B. Sobolewski

activity

20172026

most citedValues of binary partition function represented by a sum of three squares

1 citations · 1 across the 10 of their papers we have counts for

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Showing 2024 · math.NTShow all

3 papers · 2 filters

math.NT2024

On the behavior of binary block-counting functions under addition

Bartosz Sobolewski

Let $s (n)$ denote the sum of binary digits of an integer $n \geq 0$ . In the recent years there has been interest in the behavior of the differences $\mathsf{s}(n+t)-\maths…

math.NT2024

Binary sequences meet the Fibonacci sequence

Piotr Miska, Bartosz Sobolewski, Maciej Ulas

We introduce a new family of meta-Fibonacci sequences $(f (n))_{n \in N}$ , governed by the recurrence relation $f (n) = a f (n - u_{n} - 1) + b f (n - u_{n} - 2),$ where $\mathbf{u}=(u_{n})…

math.NT2024

Decomposing the sum-of-digits correlation measure

Bartosz Sobolewski, Lukas Spiegelhofer

Let $s (n)$ denote the number of ones in the binary expansion of the nonnegative integer $n$ . How does $s$ behave under addition of a constant $t$ ? In order to study the differences…