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math.NT2026
Apéry-type approximations and irrationality measures for certain -series
Junnosuke Koizumi, Anju Yokoi
We construct a three-parameter family of rational approximations to values of -hypergeometric series. Using these approximations, we prove that, for every integer with $|x|\…
math.NT2024
Irreducibility of polynomials defining parabolic parameters of period 3
Junnosuke Koizumi, Yuya Murakami, Kaoru Sano +1
Morton and Vivaldi defined the polynomials whose roots are parabolic parameters for a one-parameter family of polynomial maps. We call these polynomials delta factors. They conject…
math.NT2023
Quadratic residues and domino tilings
Yuhi Kamio, Junnosuke Koizumi, Toshihiko Nakazawa
The formula for the number of domino tilings due to Kasteleyn and Temperley-Fisher is strikingly similar to Eisenstein's formula for the Legendre symbol. We study the connection be…