User:Roland Miyamoto

Roland Miyamoto, né Auer 1967
Mathematician
PhD 1999 at University of Oldenburg

Contributed (to) sequences

• A014621 Triangle of numbers arising from analysis of Levine's sequence A011784.

• A119980 Order of the following permutation on 3n+1 symbols. Write the 3n+1 symbols horizontally into a 3-column grid and read them off vertically, i.e., column after column.

• A369988 Decimal expansion of Mallows's constant or stribolic constant kappa (of order 1).

• A369990 Numerator of canonical iterated stribolic area Integral_{t=0..1} h_n(t) dt (of order 1).

• A369991 Denominator of canonical iterated stribolic area Integral_{t=0..1} h_n(t) dt (of order 1).

• A369992 Irregular triangle read by rows: T(n,k) = (2^floor(n/2)+k)-th numerator coefficient of the polynomial q_n used to parametrize the canonical stribolic iterates h_n (of order 1), for n=0,1,2,... and 0 <= k <= A000045(n+1) - 2^floor(n/2).

• A369993 Reciprocal of content of the polynomial q_n used to parametrize the canonical stribolic iterates h_n (of order 1).

Publications

• R. Auer: Zyklotomische Funktionenkörper. Diplomarbeit, Carl-von-Ossietzky-Universität Oldenburg, 1993.

• R. Auer: Ray Class Fields of Global Function Fields with Many Rational Places. Dissertation, Carl-von-Ossietzky-Universität Oldenburg, 1999.

• R. Auer: Curves over finite fields with many points obtained by ray class field extensions. ANTS IV Proceedings, LNCS 1838 (2000) 127–134.

• R. Auer: Ray class fields of global function fields with many rational places. Acta Arith. 95/2 (2000) 97–122. E-Print: arXiv:math/9803065 [math.AG]

• R. Auer: A functorial property of nested Witt vectors. J. Algebra 252 (2002) 293–299.

• R. Auer, J. Top: Legendre elliptic curves over finite fields. J. Number Theory 95/2 (2002) 303–312. E-Print: arXiv:math/0106273 [math.NT]

• R. Auer, J. Top: Some genus 3 curves with many points. ANTS V Proceedings , LNCS 2369 (2002) 163–171. E-Print: arXiv:math/0201320 [math.NT]

• R. Miyamoto: Kreisförmige Spiele und Ideale. Ein spielerischer Zugang zur elementaren Theorie von Ringen und Idealen, gerichtet an mathematikinteressierte Schülerinnen und Schüler der Klassenstufen 10–13. Masterarbeit, Georg-August-Universität Göttingen, 2004.

• R. Miyamoto, J. Top: Reduction of elliptic curves in equal characteristic 3 (and 2). Can. Math. Bull. 48/3 (2005) 428–444.

• R. Miyamoto, J. W. Sander: Solving the Iterative Differential Equation –γg' = g⁻¹. In: H. Maier, J. & R. Steuding (eds.): Number Theory in Memory of Eduard Wirsing, Springer, 2023, 223–236.

• R. Miyamoto: Polynomial parametrisation of the canonical iterates to the solution of -γg' = g⁻¹. arXiv:2402.06618 [math.CO], 2024.

• R. Miyamoto: Solution to the iterative differential equation -γg' = g⁻¹. arXiv:2404.11455 [math.CA], 2024.