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On the Grothendieck resolution for a certain finite flat commutative group scheme of order $p^{n}$ over an $\Bbb{F}_{p}$-algebra

Autor: Tsuno, Yuji

For any commutative finite flat group scheme, Grothendieck constructed an embedding into some smooth group scheme. This embedding is called the Grothendieck resolution. Let $p$ be a prime number and $n$ a positive integer. In connection with the norm

Externí odkaz: http://arxiv.org/abs/2408.17305

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Polynomial values with integer coefficients of the generating functions for Fibonacci polynomials

Autor: Tsuno, Yuji

Fibonacci polynomials are generalizations of Fibonacci numbers, so it is natural to consider polynomial versions of the various results for Fibonacci numbers. According to Hong, Pongsriiam, Bulawa, and Lee, the generating function of the Fibonacci se

Externí odkaz: http://arxiv.org/abs/2112.14863

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On integer values of the generating functions for sequences given by the Pell's equations

Autor: Tsuno, Yuji

D. S. Hong and P. Pongsriiam have provided a necessary and sufficient condition for the generating function for Fibonacci numbers (resp. the Lucas numbers) to be an integer value, for rational numbers. In other words, their results relate to the inte

Externí odkaz: http://arxiv.org/abs/1909.03294

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