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pro vyhledávání: '"Kanado, Yuya"'
Autor:
Kanado, Yuya, Saito, Kota
A real number is called simply normal to base $b$ if every digit $0,1,\ldots ,b-1$ should appear in its $b$-adic expansion with the same frequency $1/b$. A real number is called normal to base $b$ if it is simply normal to every base $b, b^2, \ldots$
Externí odkaz:
http://arxiv.org/abs/2412.02337
Autor:
Kanado, Yuya, Saito, Kota
A real number is called simply normal to base $b$ if its base-$b$ expansion has each digit appearing with average frequency tending to $1/b$. In this article, we discover a relation between the frequency that the digit $1$ appears in the binary expan
Externí odkaz:
http://arxiv.org/abs/2312.13943
Autor:
Kanado, Yuya, Saito, Kota
This study investigates the existence of tuples $(k, \ell, m)$ of integers such that all of $k$, $\ell$, $m$, $k+\ell$, $\ell+m$, $m+k$, $k+\ell+m$ belong to $S(\alpha)$, where $S(\alpha)$ is the set of all integers of the form $\lfloor \alpha n^2 \r
Externí odkaz:
http://arxiv.org/abs/2205.12226
Autor:
Kanado, Yuya
Let $p$ be a prime number. A chain $\{p,2p+1,4p+3,\cdots,(p+1)2^{l(p)-1}-1\}$ is called the Cunningham chain generated by $p$ if all elements are prime number and $(p+1)2^{l(p)}-1$ is composite. Then $l(p)$ is called the length of the Cunningham chai
Externí odkaz:
http://arxiv.org/abs/2205.07650
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