H. Kaneko

activity

20152022

most citedCauchy-Carlitz numbers

8 citations · 16 across the 13 of their papers we have counts for

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math.NT2022

Curious congruences for cyclotomic polynomials

Shigeki Akiyama, Hajime Kaneko

Let $Φ_{n}^{(k)} (x)$ be the $k$ -th derivative of $n$ -th cyclotomic polynomial. Extending a work of D.~H.~Lehmer, we show some curious congruences: $2 Φ_{n}^{(3)} (1)$ is divisible by $ϕ(…

math.NT2022

Exponential Diophantine approximation and symbolic dynamics

Shigeki Akiyama, Teturo Kamae, Hajime Kaneko

We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the probl…